Periodic Orbits and Solenoids in Generic Hamiltonian Dynamical Systems
From MaRDI portal
Publication:3879981
DOI10.2307/2374171zbMath0438.58013OpenAlexW2333469688MaRDI QIDQ3879981
Kenneth R. Meyer, Lawrence Markus
Publication date: 1980
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2374171
periodic orbitsrecurrent trajectoriessolenoids in generic Hamiltonian dynamical systems on a symplectic manifold
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items
A characterization of adding machine maps, Chain recurrence rates and topological entropy, Limit periodic functions, adding machines, and solenoids, Non-integrability and chaos for natural Hamiltonian systems with a random potential, Stable periodic solutions in the forced pendulum equation, The Conley conjecture and beyond, Bohr-Fourier series on solenoids via its transversal variation, The twist coefficient of periodic solutions of a time-dependent Newton's equation, Embedding solenoids in foliations, On the motion of an oscillator with a periodically time-varying mass, Local stable and unstable sets for positive entropy \(C^1\) dynamical systems, Liapunov stability and adding machines revisited, Dold sequences, periodic points, and dynamics, Mechanical and gradient systems; local perturbations and generic properties
