Exponentially Small Splittings of Manifolds in a Rapidly Forced Duffing System

DOI10.1006/jsvi.1994.1049zbMath0925.70262OpenAlexW2093447570MaRDI QIDQ4237548

Alexander F. Vakakis

Publication date: 8 November 1999

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsvi.1994.1049

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40)

Related Items (6)

Generalized hyperbolic perturbation method for homoclinic solutions of strongly nonlinear autonomous systems ⋮ Study of a class of subharmonic motions using a non-smooth temporal transformation (NSTT) ⋮ Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by the hyperbolic perturbation method ⋮ Lyapunov exponents for a Duffing oscillator ⋮ Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method ⋮ Resonant Capture in a System of Two Coupled Homoclinic Oscillators

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