The existence of periodic solutions for a class of nonautonomous lattices with bounded-coupling

DOI10.1016/j.na.2008.12.011zbMath1172.34325OpenAlexW2093001398MaRDI QIDQ1030030

Chao Wang, Qian, Dingbian

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.12.011

zbMATH Keywords

periodic solutionstopological degreebounded-couplingsuper-lineara relative priori boundsnonautonomous lattices

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations of infinite order (34A35)

Cites Work

• Multibump periodic motions of an infinite lattice of particles
• Periodic motions of forced infinite lattices with nearest neighbor interaction
• Existence and numerical approximation of periodic motions of an infinite lattice of particles
• A continuation approach to superlinear periodic boundary value problems
• Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators
• Continuation Theorems for Periodic Perturbations of Autonomous Systems
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Periodic motions of an infinite lattice of particles with nearest neighbor interaction
• Necessary and suffient conditions for existence of periodic motions of forced systems of particles
• Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems.
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