Fourier analysis of multi-frequency dynamical systems

DOI10.1016/0167-2789(88)90017-6zbMath0829.58032OpenAlexW2087427789MaRDI QIDQ1813109

Stellan Ostlund, Seunghwan Kim, Gang Yu

Publication date: 25 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90017-6

zbMATH Keywords

Fourier spectrummultiply periodic system

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Full characterization of a strange attractor. Chaotic dynamics in low- dimensional replicator systems ⋮ The nonlinear dynamics of the damped and driven Toda chain. II: Fourier and Lyapunov analysis of tori

Cites Work

• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Attractors on an N-torus: Quasiperiodicity versus chaos
• Renormalization of Quasiperiodic Mappings
• Scaling Laws for Mode Lockings in Circle Maps