How a swing behaves

DOI10.1016/0167-2789(86)90212-5zbMath0604.70045OpenAlexW1986368086MaRDI QIDQ1083238

John M. Greene

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90212-5

zbMATH Keywords

chaosparametric instabilityasymptotic behaviourrenormalizationcontinued fractionswinding numberperiod doublingstability of periodic orbitsconservative, coupled, nonlinear oscillatorscritical mapsincreasing perturbationisland structuresoscillating lengthtransition from isolated islands to chaotic motion

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)

Related Items

Singular manifolds and quasi-periodic solutions of Hamiltonians for vortex lattices, Renormalization and destruction of 1/γ2 tori in the standard nontwist map, Travelling waves and chaos in the Kolmogorov-Spiegel-Sivashinsky model

Cites Work

• The universal metric properties of nonlinear transformations
• Regular and stochastic motion
• Scaling for a Critical Kolmogorov-Arnold-Moser Trajectory
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