Existence of localized periodic motions in systems of coupled integrable symplectic maps.

DOI10.1016/S0960-0779(01)00140-0zbMath1067.37068OpenAlexW2035653758WikidataQ127190309 ScholiaQ127190309MaRDI QIDQ1610075

Simos Ichtiaroglou, Vassilis Koukouloyannis

Publication date: 18 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00140-0

zbMATH Keywords

stabilityperiodic orbitsoscillatorsweak couplingdiscrete nonlinear maps

Mathematics Subject Classification ID

Hamilton's equations (70H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (1)

An extensive resonant normal form for an arbitrary large Klein-Gordon model

Cites Work

• Unnamed Item
• Unnamed Item
• On integrable mappings of standard type
• Breathers in nonlinear lattices: existence, linear stability and quantization
• Heteroclinic orbits and flux in a perturbed integrable Suris map
• Nonlinear localized periodic solutions in a coupled map lattice
• Localization in a coupled standard map lattice
• Non-integrability and continuation of fixed points on \(2n\)-dimensional perturbed twist maps
• New aspects in the theory of stability of Hamiltonian systems
• Linear stability of symplectic maps
• Exponential localization of linear response in networks with exponentially decaying coupling
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

This page was built for publication: Existence of localized periodic motions in systems of coupled integrable symplectic maps.