Breather solutions on discrete necklace graphs

DOI10.7153/oam-2020-14-48zbMath1464.39015OpenAlexW3091578967MaRDI QIDQ3389286

Daniela Maier

Publication date: 10 May 2021

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2020-14-48

zbMATH Keywords

bifurcationKlein-Gordon equationtime-periodicdiscrete graphspatially-localized

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Soliton solutions (35C08) Bifurcation theory for difference equations (39A28) Integrable difference and lattice equations; integrability tests (39A36)

Cites Work

• Bifurcation theory. An introduction with applications to partial differential equations
• Nonpersistence of breather families for the perturbed sine Gordon equation
• Schrödinger operators on periodic discrete graphs
• BREATHERS IN INHOMOGENEOUS NONLINEAR LATTICES: AN ANALYSIS VIA CENTER MANIFOLD REDUCTION
• Breathers on a diatomic FPU chain
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation
• Bifurcations of discrete breathers in a diatomic Fermi–Pasta–Ulam chain
• Unnamed Item

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