Criterion of stochastic layer near a planar homoclinic orbit of nonlinear dynamical system

zbMath0898.70017MaRDI QIDQ1912972

Albert C. J. Luo

Publication date: 1 November 1998

Published in: Journal of Hydrodynamics. Ser. B (Search for Journal in Brave)

zbMATH Keywords

boundednessHamiltonian vector fieldsmoothnesscritical amplitudecritical parametersseparatrixRunge-Kutta techniqueglobal chaosdisappearence stochastic layersDuffing-Holmes equationenergy incrementforced planar pendulumsubharmonic resonance condition

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Random vibrations in mechanics of particles and systems (70L05)

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