Periodic orbits in nonlinear wave equations on networks

DOI10.1088/1751-8121/aa7fd8zbMath1386.35410arXiv1702.05304OpenAlexW2735021737MaRDI QIDQ5369373

Jean-Guy Caputo, Arnaud Knippel, I. Khames, Panayotis Panayotaros

Publication date: 17 October 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05304

zbMATH Keywords

graph Laplaciangraph wave equationnonlinear periodic orbit

Mathematics Subject Classification ID

Wave equation (35L05) Nonlinear higher-order PDEs (35G20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items

Solutions of fixed period in the nonlinear wave equation on networks, Localized solutions of nonlinear network wave equations, On graph Laplacian eigenvectors with components in \(\{- 1, 0, 1 \}\), Some theory and applications of 2N-dimensional canonical systems: periodic and nonperiodic

Cites Work

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• Continuation of normal modes in finite NLS lattices
• Stability of low-dimensional bushes of vibrational modes in the Fermi-Pasta-Ulam chains
• DISCRETE SYMMETRY AND STABILITY IN HAMILTONIAN DYNAMICS
• Nonlinear dynamics and primordial curvature perturbations from preheating
• Oscillations of networks: the role of soft nodes