Errata and Addenda: Averaging and Chaotic Motions in Forced Oscillations

DOI10.1137/0140014zbMath0518.70023OpenAlexW1997345233MaRDI QIDQ3667996

Philip J. Holmes

Publication date: 1981

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0140014

zbMATH Keywords

averagingchaotic motions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Random vibrations in mechanics of particles and systems (70L05) Nonlinear dynamics in mechanics (70K99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (5)

Temporal and spatial chaos in a van der Waals fluid due to periodic thermal fluctuations ⋮ Second-order averaging and chaos in quasiperiodically forced weakly nonlinear oscillators ⋮ The perturbed cubic Schrödinger equation: Selection mechanism, resonant limits, and spatial chaos ⋮ Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case ⋮ Generation and evolution of oblique solitary waves in supercritical flows

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