Discrete breathers in Klein-Gordon lattices: a deflation-based approach

DOI10.1063/5.0161889zbMATH Open1545.3706MaRDI QIDQ6553199

J. Cuevas, Francisca Martin-Vergara, Francisco R. Villatoro, P. E. Farrell, P. G. Kevrekidis

Publication date: 11 June 2024

Published in: Chaos (Search for Journal in Brave)

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

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Breathers in nonlinear lattices: existence, linear stability and quantization
Deflation techniques for the determination of periodic solutions of a certain period
Demonstration of the stability or instability of multibreathers at low coupling
Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation
Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
Numerical continuation methods for dynamical systems. Path following and boundary value problems.
Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices
The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem
On the stability of multibreathers in Klein–Gordon chains
Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit
Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
Breather$ndash$phonon resonances in finite-size lattices: $lquot$phantom breathers$rquot$?
Nonlinear dynamics and statistical physics of DNA
Multi-site breathers in Klein–Gordon lattices: stability, resonances and bifurcations
Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach
Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations

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