Discrete Snaking: Multiple Cavity Solitons in Saturable Media

DOI10.1137/080734297zbMath1193.35172OpenAlexW2041764945MaRDI QIDQ3577814

A. V. Yulin, Alan R. Champneys

Publication date: 26 July 2010

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://research-information.bristol.ac.uk/en/publications/discrete-snaking-multiple-cavity-solitons-in-saturable-media(781ee93e-23d9-4491-be88-5e9a008b9354).html

zbMATH Keywords

discrete solitonsoptical cavityhomoclinic snakinglattice equationMaxwell point

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Soliton equations (35Q51) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Electron optics (78A15)

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Snakes on Lieb lattice ⋮ Computation of nonreciprocal dynamics in nonlinear materials ⋮ Spatially localized structures in lattice dynamical systems ⋮ Discrete vector light bullets in coupled \(\chi^3\) nonlinear cavities ⋮ Snaking and isolas of localised states in bistable discrete lattices ⋮ On localised hotspots of an urban crime model ⋮ Snaking bifurcations in a self-excited oscillator chain with cyclic symmetry ⋮ Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings ⋮ Isolas of multi-pulse solutions to lattice dynamical systems ⋮ Snakes in square, honeycomb and triangular lattices ⋮ Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice

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