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L. Gelens, G. Van der Sande, P. Tassin, M. Tlidi, P. Kockaert, D. Gomila, I. Veretennicoff, and J. Danckaert, “Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures,” Phys. Rev. A 75, 063812 (2007).

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[Crossref]

B. Schäpers, M. Feldmann, T. Ackemann, and W. Lange, “Interaction of localized structures in an optical pattern-forming system,” Phys. Rev. Lett. 85, 748–751 (2000).

[Crossref]
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[Crossref]
[PubMed]

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[Crossref]

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[Crossref]

S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jäger, “Cavity solitons as pixels in semiconductor microcavities,” Nature 419, 699–702 (2002).

[Crossref]
[PubMed]

I. V. Barashenkov and E. V. Zemlyanaya, “Travelling solitons in the externally driven nonlinear Schrödinger equation,” J. Phys. A: Math. Theor. 44465211 (2011).

[Crossref]

R. Richter and I. V. Barashenkov, “Two-dimensional solitons on the surface of magnetic fluids,” Phys. Rev. Lett. 94, 184503 (2005).

[Crossref]
[PubMed]

N. V. Alexeeva and I. V. Barashenkov, “Impurity-Induced Satabilization of Solitons in Arrays of Parametrically Driven Nonlinear Oscillators,” Phys. Rev. Lett. 84, 3053–3056 (2000).

[Crossref]

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[Crossref]

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[Crossref]
[PubMed]

F. Pedaci, G. Tissoni, S. Barland, M. Giudici, and J. Tredicce, “Mapping local defects of extended media using localized structures,” Appl. Phys. Lett. 93, 111104 (2008).

[Crossref]

S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jäger, “Cavity solitons as pixels in semiconductor microcavities,” Nature 419, 699–702 (2002).

[Crossref]
[PubMed]

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[Crossref]
[PubMed]

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[Crossref]

S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jäger, “Cavity solitons as pixels in semiconductor microcavities,” Nature 419, 699–702 (2002).

[Crossref]
[PubMed]

E. Caboche, F. Pedaci, P. Genevet, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Microresonator defects as sources of drifting cavity solitons,” Phys. Rev. Lett. 102, 163901 (2009); ;E. Caboche, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Cavity-soliton motion in the presence of device defects,” Phys. Rev. A 80, 053814 (2009).

[Crossref]
[PubMed]

C. Godey, I. V. Balakireva, A. Coillet, and Y. K. Chembo, “Stability analysis of the spatiotemporal Lugiato-Lefever model for Kerr optical frequency combs in the anomalous and normal dispersion regimes,” Phys. Rev. A 89, 063814 (2014).

[Crossref]

Y. K. Chembo and C. Menyuk, “Spatiotemporal Lugiato-Lefever formalism for Kerr-comb generation in whispering-gallery-mode resonators,” Phys. Rev. A 87, 053852 (2013).

[Crossref]

P. Parra-Rivas, D. Gomila, F. Leo, S. Coen, and L. Gelens, “Third-order chromatic dispersion stabilizes Kerr frequency combs,” Opt. Lett. 39, 2971–2974 (2014).

[Crossref]
[PubMed]

F. Leo, L. Gelens, P. Emplit, M. Haelterman, and S. Coen, “Dynamics of one-dimensional Kerr cavity solitons,” Opt. Express 21, 9180–9191 (2013).

[Crossref]
[PubMed]

S. Coen, H. G. Randle, T. Sylvestre, and M. Erkintalo, “Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato-Lefever model,” Opt. Lett. 38, 37–39 (2013).

[Crossref]
[PubMed]

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, Ph. Emplit, and M. Haelterman, “Temporal cavity solitons in one-dimensional Kerr media as bits in an all-optical buffer,” Nature Phot. 4, 471–476 (2010).

[Crossref]

P. Parra-Rivas, D. Gomila, M. A. Matias, S. Coen, and L. Gelens, “Dynamics of localized and patterned structures in the Lugiato-Lefever equation determine the stability and shape of optical frequency combs,” Phys. Rev. A89, 043813 (1–12) (2014).

[Crossref]

C. Godey, I. V. Balakireva, A. Coillet, and Y. K. Chembo, “Stability analysis of the spatiotemporal Lugiato-Lefever model for Kerr optical frequency combs in the anomalous and normal dispersion regimes,” Phys. Rev. A 89, 063814 (2014).

[Crossref]

A. Jacobo, D. Gomila, M. A. Matías, and P. Colet, “Effects of noise on excitable dissipative solitons,” Eur. Phys. J. D 59, 37–42 (2010).

[Crossref]

A. Jacobo, D. Gomila, M. A. Matías, and P. Colet, “Effects of a localized beam on the dynamics of excitable cavity solitons,” Phys. Rev. A 78, 053821 (2008).

[Crossref]

L. Gelens, D. Gomila, G. Van der Sande, J. Danckaert, P. Colet, and M. A. Matías, “Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials,” Phys. Rev. A 77, 033841 (2008).

[Crossref]

M. Santagiustina, P. Colet, M. S. Miguel, and D. Walgraef, “Walk-off and pattern selection in optical parametric oscillators,” Opt. Lett. 23, 1167–1169 (1998).

[Crossref]

M. Santagiustina, P. Colet, M. S. Miguel, and D. Walgraef, “Noise-sustained convective structures in nonlinear optics,” Phys. Rev. Lett. 79, 3633–3636 (1997).

[Crossref]

P. Parra-Rivas, D. Gomila, M. A. Matías, and P. Colet, “Dissipative soliton excitability induced by spatial inhomogeneities and drift,” Phys. Rev. Lett.110, 064103 (1–5) (2013).

[Crossref]
[PubMed]

P. Parra-Rivas, D. Gomila, M. A. Matías, and P. Colet, “On the drif-defect mechanism for dissipative soliton excitability,” (in preparation).

L. Gelens, D. Gomila, G. Van der Sande, J. Danckaert, P. Colet, and M. A. Matías, “Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials,” Phys. Rev. A 77, 033841 (2008).

[Crossref]

L. Gelens, G. Van der Sande, P. Tassin, M. Tlidi, P. Kockaert, D. Gomila, I. Veretennicoff, and J. Danckaert, “Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures,” Phys. Rev. A 75, 063812 (2007).

[Crossref]

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332, 555–559 (2011).

[Crossref]
[PubMed]

K. Bold, C. Edwards, J. Guckenheimer, S. Guharay, K. Hoffman, J. Hubbard, R. Oliva, and W. Weckesser, “The Forced van der Pol Equation II: Canards in the Reduced System,” SIAM J. Appl. Dyn. Syst. 2, 570–608 (2003).

[Crossref]

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, Ph. Emplit, and M. Haelterman, “Temporal cavity solitons in one-dimensional Kerr media as bits in an all-optical buffer,” Nature Phot. 4, 471–476 (2010).

[Crossref]

O. Thual and S. Fauve, “Localized structures generated by subcritical instabilities,” J. Phys. 49, 1829–1833 (1988).

[Crossref]

B. Schäpers, M. Feldmann, T. Ackemann, and W. Lange, “Interaction of localized structures in an optical pattern-forming system,” Phys. Rev. Lett. 85, 748–751 (2000).

[Crossref]
[PubMed]

D. Gomila, A. J. Scroggie, and W. J. Firth, “Bifurcation structure of dissipative solitons,” Physica D 227, 70–77 (2007).

[Crossref]

P. Parra-Rivas, D. Gomila, F. Leo, S. Coen, and L. Gelens, “Third-order chromatic dispersion stabilizes Kerr frequency combs,” Opt. Lett. 39, 2971–2974 (2014).

[Crossref]
[PubMed]

F. Leo, L. Gelens, P. Emplit, M. Haelterman, and S. Coen, “Dynamics of one-dimensional Kerr cavity solitons,” Opt. Express 21, 9180–9191 (2013).

[Crossref]
[PubMed]

M. Tlidi and L. Gelens, “High-order dispersion stabilizes dark dissipative solitons in all-fiber cavities,” Opt. Lett. 35, 306–308 (2010).

[Crossref]
[PubMed]

L. Gelens, D. Gomila, G. Van der Sande, J. Danckaert, P. Colet, and M. A. Matías, “Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials,” Phys. Rev. A 77, 033841 (2008).

[Crossref]

L. Gelens, G. Van der Sande, P. Tassin, M. Tlidi, P. Kockaert, D. Gomila, I. Veretennicoff, and J. Danckaert, “Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures,” Phys. Rev. A 75, 063812 (2007).

[Crossref]

G. Kozyreff and L. Gelens, “Cavity solitons and localized patterns in a finite-size optical cavity,” Phys. Rev. A84, 023819 (1–5) (2011).

[Crossref]

P. Parra-Rivas, D. Gomila, M. A. Matias, S. Coen, and L. Gelens, “Dynamics of localized and patterned structures in the Lugiato-Lefever equation determine the stability and shape of optical frequency combs,” Phys. Rev. A89, 043813 (1–12) (2014).

[Crossref]

E. Caboche, F. Pedaci, P. Genevet, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Microresonator defects as sources of drifting cavity solitons,” Phys. Rev. Lett. 102, 163901 (2009); ;E. Caboche, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Cavity-soliton motion in the presence of device defects,” Phys. Rev. A 80, 053814 (2009).

[Crossref]
[PubMed]

E. Caboche, F. Pedaci, P. Genevet, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Microresonator defects as sources of drifting cavity solitons,” Phys. Rev. Lett. 102, 163901 (2009); ;E. Caboche, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Cavity-soliton motion in the presence of device defects,” Phys. Rev. A 80, 053814 (2009).

[Crossref]
[PubMed]

F. Pedaci, G. Tissoni, S. Barland, M. Giudici, and J. Tredicce, “Mapping local defects of extended media using localized structures,” Appl. Phys. Lett. 93, 111104 (2008).

[Crossref]

S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jäger, “Cavity solitons as pixels in semiconductor microcavities,” Nature 419, 699–702 (2002).

[Crossref]
[PubMed]

E. Louvergneaux, C. Szwaj, G. Agez, P. Glorieux, and M. Taki, “Experimental evidence of absolute and convective instabilities in optics,” Phys. Rev. Lett. 92, 043901 (2004).

[Crossref]
[PubMed]

H. Ward, M. N. Ouarzazi, M. Taki, and P. Glorieux, “Transverse dynamics of optical parametric oscillators in presence of walk-off,” Eur. Phys. J. D 3, 275–288 (1998).

[Crossref]

C. Godey, I. V. Balakireva, A. Coillet, and Y. K. Chembo, “Stability analysis of the spatiotemporal Lugiato-Lefever model for Kerr optical frequency combs in the anomalous and normal dispersion regimes,” Phys. Rev. A 89, 063814 (2014).

[Crossref]

P. Parra-Rivas, D. Gomila, F. Leo, S. Coen, and L. Gelens, “Third-order chromatic dispersion stabilizes Kerr frequency combs,” Opt. Lett. 39, 2971–2974 (2014).

[Crossref]
[PubMed]

A. Jacobo, D. Gomila, M. A. Matías, and P. Colet, “Effects of noise on excitable dissipative solitons,” Eur. Phys. J. D 59, 37–42 (2010).

[Crossref]

L. Gelens, D. Gomila, G. Van der Sande, J. Danckaert, P. Colet, and M. A. Matías, “Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials,” Phys. Rev. A 77, 033841 (2008).

[Crossref]

A. Jacobo, D. Gomila, M. A. Matías, and P. Colet, “Effects of a localized beam on the dynamics of excitable cavity solitons,” Phys. Rev. A 78, 053821 (2008).

[Crossref]

D. Gomila, A. J. Scroggie, and W. J. Firth, “Bifurcation structure of dissipative solitons,” Physica D 227, 70–77 (2007).

[Crossref]

L. Gelens, G. Van der Sande, P. Tassin, M. Tlidi, P. Kockaert, D. Gomila, I. Veretennicoff, and J. Danckaert, “Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures,” Phys. Rev. A 75, 063812 (2007).

[Crossref]

P. Parra-Rivas, D. Gomila, M. A. Matías, and P. Colet, “On the drif-defect mechanism for dissipative soliton excitability,” (in preparation).

P. Parra-Rivas, D. Gomila, M. A. Matías, and P. Colet, “Dissipative soliton excitability induced by spatial inhomogeneities and drift,” Phys. Rev. Lett.110, 064103 (1–5) (2013).

[Crossref]
[PubMed]

P. Parra-Rivas, D. Gomila, M. A. Matias, S. Coen, and L. Gelens, “Dynamics of localized and patterned structures in the Lugiato-Lefever equation determine the stability and shape of optical frequency combs,” Phys. Rev. A89, 043813 (1–12) (2014).

[Crossref]

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, Ph. Emplit, and M. Haelterman, “Temporal cavity solitons in one-dimensional Kerr media as bits in an all-optical buffer,” Nature Phot. 4, 471–476 (2010).

[Crossref]

K. Bold, C. Edwards, J. Guckenheimer, S. Guharay, K. Hoffman, J. Hubbard, R. Oliva, and W. Weckesser, “The Forced van der Pol Equation II: Canards in the Reduced System,” SIAM J. Appl. Dyn. Syst. 2, 570–608 (2003).

[Crossref]

K. Bold, C. Edwards, J. Guckenheimer, S. Guharay, K. Hoffman, J. Hubbard, R. Oliva, and W. Weckesser, “The Forced van der Pol Equation II: Canards in the Reduced System,” SIAM J. Appl. Dyn. Syst. 2, 570–608 (2003).

[Crossref]

P. Kramper, M. Kafesaki, C. M. Soukoulis, A. Birner, F. Mller, U. Güsele, R. B. Wehrspohn, J. Mlynek, and V. Sandoghdar, “Near-field visualization of light confinement in a photonic crystal microresonator,” Opt. Lett. 29, 174–176 (2004).

[Crossref]
[PubMed]

F. Leo, L. Gelens, P. Emplit, M. Haelterman, and S. Coen, “Dynamics of one-dimensional Kerr cavity solitons,” Opt. Express 21, 9180–9191 (2013).

[Crossref]
[PubMed]

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, Ph. Emplit, and M. Haelterman, “Temporal cavity solitons in one-dimensional Kerr media as bits in an all-optical buffer,” Nature Phot. 4, 471–476 (2010).

[Crossref]

M. Haelterman, S. Trillo, and S. Wabnitz, “Dissipative modulation instability in a nonlinear dispersive ring cavity,” Opt. Comm. 91, 401–407 (1992).

[Crossref]

K. Bold, C. Edwards, J. Guckenheimer, S. Guharay, K. Hoffman, J. Hubbard, R. Oliva, and W. Weckesser, “The Forced van der Pol Equation II: Canards in the Reduced System,” SIAM J. Appl. Dyn. Syst. 2, 570–608 (2003).

[Crossref]

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332, 555–559 (2011).

[Crossref]
[PubMed]

K. Bold, C. Edwards, J. Guckenheimer, S. Guharay, K. Hoffman, J. Hubbard, R. Oliva, and W. Weckesser, “The Forced van der Pol Equation II: Canards in the Reduced System,” SIAM J. Appl. Dyn. Syst. 2, 570–608 (2003).

[Crossref]

A. Jacobo, D. Gomila, M. A. Matías, and P. Colet, “Effects of noise on excitable dissipative solitons,” Eur. Phys. J. D 59, 37–42 (2010).

[Crossref]

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S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jäger, “Cavity solitons as pixels in semiconductor microcavities,” Nature 419, 699–702 (2002).

[Crossref]
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[Crossref]
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[Crossref]
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[Crossref]
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L. Gelens, G. Van der Sande, P. Tassin, M. Tlidi, P. Kockaert, D. Gomila, I. Veretennicoff, and J. Danckaert, “Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures,” Phys. Rev. A 75, 063812 (2007).

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P. Parra-Rivas, D. Gomila, M. A. Matias, S. Coen, and L. Gelens, “Dynamics of localized and patterned structures in the Lugiato-Lefever equation determine the stability and shape of optical frequency combs,” Phys. Rev. A89, 043813 (1–12) (2014).

[Crossref]

A. Jacobo, D. Gomila, M. A. Matías, and P. Colet, “Effects of noise on excitable dissipative solitons,” Eur. Phys. J. D 59, 37–42 (2010).

[Crossref]

L. Gelens, D. Gomila, G. Van der Sande, J. Danckaert, P. Colet, and M. A. Matías, “Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials,” Phys. Rev. A 77, 033841 (2008).

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A. Jacobo, D. Gomila, M. A. Matías, and P. Colet, “Effects of a localized beam on the dynamics of excitable cavity solitons,” Phys. Rev. A 78, 053821 (2008).

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Y. K. Chembo and C. Menyuk, “Spatiotemporal Lugiato-Lefever formalism for Kerr-comb generation in whispering-gallery-mode resonators,” Phys. Rev. A 87, 053852 (2013).

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M. Santagiustina, P. Colet, M. S. Miguel, and D. Walgraef, “Walk-off and pattern selection in optical parametric oscillators,” Opt. Lett. 23, 1167–1169 (1998).

[Crossref]

M. Santagiustina, P. Colet, M. S. Miguel, and D. Walgraef, “Noise-sustained convective structures in nonlinear optics,” Phys. Rev. Lett. 79, 3633–3636 (1997).

[Crossref]

S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jäger, “Cavity solitons as pixels in semiconductor microcavities,” Nature 419, 699–702 (2002).

[Crossref]
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P. Kramper, M. Kafesaki, C. M. Soukoulis, A. Birner, F. Mller, U. Güsele, R. B. Wehrspohn, J. Mlynek, and V. Sandoghdar, “Near-field visualization of light confinement in a photonic crystal microresonator,” Opt. Lett. 29, 174–176 (2004).

[Crossref]
[PubMed]

P. Kramper, M. Kafesaki, C. M. Soukoulis, A. Birner, F. Mller, U. Güsele, R. B. Wehrspohn, J. Mlynek, and V. Sandoghdar, “Near-field visualization of light confinement in a photonic crystal microresonator,” Opt. Lett. 29, 174–176 (2004).

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[Crossref]

K. J. Lee, W. D. McCormick, Q. Ouyang, and H. L. Swinney, “Pattern formation by interacting chemical fronts,” Science 261, 192–194 (1993).

[Crossref]
[PubMed]

P. Parra-Rivas, D. Gomila, F. Leo, S. Coen, and L. Gelens, “Third-order chromatic dispersion stabilizes Kerr frequency combs,” Opt. Lett. 39, 2971–2974 (2014).

[Crossref]
[PubMed]

P. Parra-Rivas, D. Gomila, M. A. Matias, S. Coen, and L. Gelens, “Dynamics of localized and patterned structures in the Lugiato-Lefever equation determine the stability and shape of optical frequency combs,” Phys. Rev. A89, 043813 (1–12) (2014).

[Crossref]

P. Parra-Rivas, D. Gomila, M. A. Matías, and P. Colet, “On the drif-defect mechanism for dissipative soliton excitability,” (in preparation).

P. Parra-Rivas, D. Gomila, M. A. Matías, and P. Colet, “Dissipative soliton excitability induced by spatial inhomogeneities and drift,” Phys. Rev. Lett.110, 064103 (1–5) (2013).

[Crossref]
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E. Caboche, F. Pedaci, P. Genevet, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Microresonator defects as sources of drifting cavity solitons,” Phys. Rev. Lett. 102, 163901 (2009); ;E. Caboche, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Cavity-soliton motion in the presence of device defects,” Phys. Rev. A 80, 053814 (2009).

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[Crossref]
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M. Schmidberger, W. Chang, P. St. J. Russell, and N. Y. Joly, “Influence of timing jitter on nonlinear dynamics of a photonic crystal fiber ring cavity,” Opt. Lett. 37, 3576–3578 (2012).

[Crossref]
[PubMed]

P. Kramper, M. Kafesaki, C. M. Soukoulis, A. Birner, F. Mller, U. Güsele, R. B. Wehrspohn, J. Mlynek, and V. Sandoghdar, “Near-field visualization of light confinement in a photonic crystal microresonator,” Opt. Lett. 29, 174–176 (2004).

[Crossref]
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M. Santagiustina, P. Colet, M. S. Miguel, and D. Walgraef, “Walk-off and pattern selection in optical parametric oscillators,” Opt. Lett. 23, 1167–1169 (1998).

[Crossref]

M. Santagiustina, P. Colet, M. S. Miguel, and D. Walgraef, “Noise-sustained convective structures in nonlinear optics,” Phys. Rev. Lett. 79, 3633–3636 (1997).

[Crossref]

B. Schapers, T. Ackemann, and W. Lange, “Properties of feedback solitons in a single-mirror experiment,” IEEE J.Quantum Electron. 39, 227–237 (2003).

[Crossref]

B. Schäpers, M. Feldmann, T. Ackemann, and W. Lange, “Interaction of localized structures in an optical pattern-forming system,” Phys. Rev. Lett. 85, 748–751 (2000).

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P. Kramper, M. Kafesaki, C. M. Soukoulis, A. Birner, F. Mller, U. Güsele, R. B. Wehrspohn, J. Mlynek, and V. Sandoghdar, “Near-field visualization of light confinement in a photonic crystal microresonator,” Opt. Lett. 29, 174–176 (2004).

[Crossref]
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S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jäger, “Cavity solitons as pixels in semiconductor microcavities,” Nature 419, 699–702 (2002).

[Crossref]
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P. Umbanhowar, F. Melo, and H. L. Swinney, “Localized excitations in a vertically vibrated granular layer,” Nature 382, 793–796 (1996).

[Crossref]

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[Crossref]
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[Crossref]
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[Crossref]
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H. Ward, M. N. Ouarzazi, M. Taki, and P. Glorieux, “Transverse dynamics of optical parametric oscillators in presence of walk-off,” Eur. Phys. J. D 3, 275–288 (1998).

[Crossref]

L. Gelens, G. Van der Sande, P. Tassin, M. Tlidi, P. Kockaert, D. Gomila, I. Veretennicoff, and J. Danckaert, “Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures,” Phys. Rev. A 75, 063812 (2007).

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[Crossref]

E. Caboche, F. Pedaci, P. Genevet, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Microresonator defects as sources of drifting cavity solitons,” Phys. Rev. Lett. 102, 163901 (2009); ;E. Caboche, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Cavity-soliton motion in the presence of device defects,” Phys. Rev. A 80, 053814 (2009).

[Crossref]
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F. Pedaci, G. Tissoni, S. Barland, M. Giudici, and J. Tredicce, “Mapping local defects of extended media using localized structures,” Appl. Phys. Lett. 93, 111104 (2008).

[Crossref]

S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jäger, “Cavity solitons as pixels in semiconductor microcavities,” Nature 419, 699–702 (2002).

[Crossref]
[PubMed]

M. Tlidi and L. Gelens, “High-order dispersion stabilizes dark dissipative solitons in all-fiber cavities,” Opt. Lett. 35, 306–308 (2010).

[Crossref]
[PubMed]

L. Gelens, G. Van der Sande, P. Tassin, M. Tlidi, P. Kockaert, D. Gomila, I. Veretennicoff, and J. Danckaert, “Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures,” Phys. Rev. A 75, 063812 (2007).

[Crossref]

E. Caboche, F. Pedaci, P. Genevet, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Microresonator defects as sources of drifting cavity solitons,” Phys. Rev. Lett. 102, 163901 (2009); ;E. Caboche, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, “Cavity-soliton motion in the presence of device defects,” Phys. Rev. A 80, 053814 (2009).

[Crossref]
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F. Pedaci, G. Tissoni, S. Barland, M. Giudici, and J. Tredicce, “Mapping local defects of extended media using localized structures,” Appl. Phys. Lett. 93, 111104 (2008).

[Crossref]

S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jäger, “Cavity solitons as pixels in semiconductor microcavities,” Nature 419, 699–702 (2002).

[Crossref]
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[Crossref]

P. Umbanhowar, F. Melo, and H. L. Swinney, “Localized excitations in a vertically vibrated granular layer,” Nature 382, 793–796 (1996).

[Crossref]

L. Gelens, D. Gomila, G. Van der Sande, J. Danckaert, P. Colet, and M. A. Matías, “Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials,” Phys. Rev. A 77, 033841 (2008).

[Crossref]

L. Gelens, G. Van der Sande, P. Tassin, M. Tlidi, P. Kockaert, D. Gomila, I. Veretennicoff, and J. Danckaert, “Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures,” Phys. Rev. A 75, 063812 (2007).

[Crossref]

L. Gelens, G. Van der Sande, P. Tassin, M. Tlidi, P. Kockaert, D. Gomila, I. Veretennicoff, and J. Danckaert, “Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures,” Phys. Rev. A 75, 063812 (2007).

[Crossref]

M. Haelterman, S. Trillo, and S. Wabnitz, “Dissipative modulation instability in a nonlinear dispersive ring cavity,” Opt. Comm. 91, 401–407 (1992).

[Crossref]

M. Santagiustina, P. Colet, M. S. Miguel, and D. Walgraef, “Walk-off and pattern selection in optical parametric oscillators,” Opt. Lett. 23, 1167–1169 (1998).

[Crossref]

M. Santagiustina, P. Colet, M. S. Miguel, and D. Walgraef, “Noise-sustained convective structures in nonlinear optics,” Phys. Rev. Lett. 79, 3633–3636 (1997).

[Crossref]

H. Ward, M. N. Ouarzazi, M. Taki, and P. Glorieux, “Transverse dynamics of optical parametric oscillators in presence of walk-off,” Eur. Phys. J. D 3, 275–288 (1998).

[Crossref]

K. Bold, C. Edwards, J. Guckenheimer, S. Guharay, K. Hoffman, J. Hubbard, R. Oliva, and W. Weckesser, “The Forced van der Pol Equation II: Canards in the Reduced System,” SIAM J. Appl. Dyn. Syst. 2, 570–608 (2003).

[Crossref]

P. Kramper, M. Kafesaki, C. M. Soukoulis, A. Birner, F. Mller, U. Güsele, R. B. Wehrspohn, J. Mlynek, and V. Sandoghdar, “Near-field visualization of light confinement in a photonic crystal microresonator,” Opt. Lett. 29, 174–176 (2004).

[Crossref]
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[Crossref]

F. Pedaci, G. Tissoni, S. Barland, M. Giudici, and J. Tredicce, “Mapping local defects of extended media using localized structures,” Appl. Phys. Lett. 93, 111104 (2008).

[Crossref]

H. Ward, M. N. Ouarzazi, M. Taki, and P. Glorieux, “Transverse dynamics of optical parametric oscillators in presence of walk-off,” Eur. Phys. J. D 3, 275–288 (1998).

[Crossref]

A. Jacobo, D. Gomila, M. A. Matías, and P. Colet, “Effects of noise on excitable dissipative solitons,” Eur. Phys. J. D 59, 37–42 (2010).

[Crossref]

B. Schapers, T. Ackemann, and W. Lange, “Properties of feedback solitons in a single-mirror experiment,” IEEE J.Quantum Electron. 39, 227–237 (2003).

[Crossref]

O. Thual and S. Fauve, “Localized structures generated by subcritical instabilities,” J. Phys. 49, 1829–1833 (1988).

[Crossref]

I. V. Barashenkov and E. V. Zemlyanaya, “Travelling solitons in the externally driven nonlinear Schrödinger equation,” J. Phys. A: Math. Theor. 44465211 (2011).

[Crossref]

P. Umbanhowar, F. Melo, and H. L. Swinney, “Localized excitations in a vertically vibrated granular layer,” Nature 382, 793–796 (1996).

[Crossref]

S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jäger, “Cavity solitons as pixels in semiconductor microcavities,” Nature 419, 699–702 (2002).

[Crossref]
[PubMed]

F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, Ph. Emplit, and M. Haelterman, “Temporal cavity solitons in one-dimensional Kerr media as bits in an all-optical buffer,” Nature Phot. 4, 471–476 (2010).

[Crossref]

M. Haelterman, S. Trillo, and S. Wabnitz, “Dissipative modulation instability in a nonlinear dispersive ring cavity,” Opt. Comm. 91, 401–407 (1992).

[Crossref]

M. J. Schmidberger, D. Novoa, F. Biancalana, P. St. J. Russell, and N. Y. Joly, “Multistability and spontaneous breaking in pulse-shape symmetry in fiber ring cavities,” Opt. Express 22, 3045–3053 (2014).

[Crossref]
[PubMed]

F. Leo, L. Gelens, P. Emplit, M. Haelterman, and S. Coen, “Dynamics of one-dimensional Kerr cavity solitons,” Opt. Express 21, 9180–9191 (2013).

[Crossref]
[PubMed]

M. Tlidi and L. Gelens, “High-order dispersion stabilizes dark dissipative solitons in all-fiber cavities,” Opt. Lett. 35, 306–308 (2010).

[Crossref]
[PubMed]

M. Schmidberger, W. Chang, P. St. J. Russell, and N. Y. Joly, “Influence of timing jitter on nonlinear dynamics of a photonic crystal fiber ring cavity,” Opt. Lett. 37, 3576–3578 (2012).

[Crossref]
[PubMed]

P. Parra-Rivas, D. Gomila, F. Leo, S. Coen, and L. Gelens, “Third-order chromatic dispersion stabilizes Kerr frequency combs,” Opt. Lett. 39, 2971–2974 (2014).

[Crossref]
[PubMed]

S. Coen, H. G. Randle, T. Sylvestre, and M. Erkintalo, “Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato-Lefever model,” Opt. Lett. 38, 37–39 (2013).

[Crossref]
[PubMed]

M. Santagiustina, P. Colet, M. S. Miguel, and D. Walgraef, “Walk-off and pattern selection in optical parametric oscillators,” Opt. Lett. 23, 1167–1169 (1998).

[Crossref]

P. Kramper, M. Kafesaki, C. M. Soukoulis, A. Birner, F. Mller, U. Güsele, R. B. Wehrspohn, J. Mlynek, and V. Sandoghdar, “Near-field visualization of light confinement in a photonic crystal microresonator,” Opt. Lett. 29, 174–176 (2004).

[Crossref]
[PubMed]

C. Godey, I. V. Balakireva, A. Coillet, and Y. K. Chembo, “Stability analysis of the spatiotemporal Lugiato-Lefever model for Kerr optical frequency combs in the anomalous and normal dispersion regimes,” Phys. Rev. A 89, 063814 (2014).

[Crossref]

Y. K. Chembo and C. Menyuk, “Spatiotemporal Lugiato-Lefever formalism for Kerr-comb generation in whispering-gallery-mode resonators,” Phys. Rev. A 87, 053852 (2013).

[Crossref]

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