Stochastic layer of Duffing's equation near its subharmonic resonant orbit
type: Item
instance of: scholarly article
title: Stochastic layer of Duffing's equation near its subharmonic resonant orbit
zbMATH Open document ID: 0857.70015
author: Albert C. J. Luo
published in: Journal of Hydrodynamics. Ser. B
publication date: 1997-03-17T00:00:00Z
review text: The stochastic layer of Duffing's equation based on the chosen resonance is investigated. For non-dissipative Duffing's equation, two critical conditions are obtained when its global stochastic layer occurs and vanishes for the given resonance. In addition, a limit critical condition has been presented when all possible resonances exist in the stochastic layer. Our results are compared with the critical conditions resulting from both Chirikov overlap method and renormalization techniques. Finally, using the critical conditions, numerical simulations are performed to check our theoretical predictions of the stochastic layer based on the given resonance.
Mathematics Subject Classification ID: 70L05
Mathematics Subject Classification ID: 70K30
zbMATH DE Number: 880672
zbMATH Keywords: limit critical condition
zbMATH Keywords: Chirikov overlap method
zbMATH Keywords: renormalization techniques
MaRDI profile type: Publication
Recommended article: Melnikov's method, stochastic layers and nonintegrability of a perturbed Duffing-oscillator
Recommended article: Stochastic and Resonant Layers in Nonlinear Hamiltonian Systems
Recommended article: Q4504102
Recommended article: Dynamics of the stochastic Duffing oscillator in Gaussian approximation
Recommended article: Dynamics of Stochastic Layers in Nonlinear Hamiltonian Systems
Recommended article: Stochastic bifurcation in Duffing system subject to harmonic excitation and in presence of random noise
Recommended article: Q5448249
Recommended article: Criterion of stochastic layer near a planar homoclinic orbit of nonlinear dynamical system
Recommended article: Q3707463
Recommended article: Stochastic bifurcations in Duffing-van der Pol oscillator with Lévy stable noise
description: scientific article; zbMATH DE number 880672