Internal energy exchanges and chaotic dynamics in an intrinsically coupled system

DOI10.1016/j.physleta.2022.128481OpenAlexW4304004489MaRDI QIDQ2093768

Yanyan Li

Publication date: 27 October 2022

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06390

zbMATH Keywords

chaosinvariant manifoldsenergy exchangehomoclinic tanglemode couplingnonlinear coupled systems

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Repellers, semi-attractors, and long-lived chaotic transients
• Regular and chaotic dynamics.
• Energy distribution in intrinsically coupled systems: the spring pendulum paradigm
• On bumping transfer of energy between nonlinearly coupled oscillators in third-order resonance
• Deterministic chaos in the elastic pendulum: A simple laboratory for nonlinear dynamics
• Symplectic maps, variational principles, and transport
• The elastic pendulum: A nonlinear paradigm
• Hamiltonian Systems
• The swinging spring ? Approximate analyses for low and very high energy, II
• The Dynamics of Legged Locomotion: Models, Analyses, and Challenges
• On a Class of Two-Degree-of-Freedom Oscillations
• Periodic solutions of a spring-pendulum system