Approximate solutions and chaotic motions of a piecewise nonlinear-linear oscillator
type: Item
instance of: scholarly article
title: Approximate solutions and chaotic motions of a piecewise nonlinear-linear oscillator
zbMATH Open document ID: 1063.70020
author: Yanyan Li
published in: Chaos, Solitons and Fractals
publication date: 2004-08-19T00:00:00Z
Mathematics Subject Classification ID: 70K55
Mathematics Subject Classification ID: 37N05
zbMATH DE Number: 2093200
zbMATH Keywords: bifurcation diagrams
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: Poincaré maps
MaRDI profile type: Publication
full work available at URL: j.chaos.2003.09.022
OpenAlex ID: W2008315397
cites work: Dynamics of oscillators with impact and friction
cites work: Co-existing attractors of impact oscillator
cites work: Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
cites work: Periodic solutions and bifurcations in an impact-inverted pendulum under impulsive excitation
cites work: Q4947576
cites work: Border-collision bifurcations on a two-dimensional torus
cites work: Spectral decomposition of piecewise linear monotonic maps.
cites work: Modelling of dynamical systems with motion-dependent discontinuities
cites work: Estimation of the largest Lyapunov exponent in systems with impacts
cites work: Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity
cites work: Low-velocity impacts of quasiperiodic oscillations.
cites work: Q3851672
cites work: Q3995875
cites work: Q4304307
cites work: Q4857776
cites work: Q3736576
cites work: Perturbation methods and non-linear hyperbolic waves
cites work: Q3997900
cites work: Determining Lyapunov exponents from a time series
cites work: Q4003993
cites work: Q4003397
DOI: 10.1016/J.CHAOS.2003.09.022
Recommended article: Homoclinic trajectories and chaotic behaviour in a piecewise linear oscillator
Recommended article: Q4011785
Recommended article: Q5701970
Recommended article: Q3762892
Recommended article: Chaos in a Piecewise Linear System with Periodic Oscillations
Recommended article: Determination of periodic orbits of nonlinear oscillators by means of piecewise-linearization methods
Recommended article: Periodic and chaotic motions of a harmonically forced piecewise linear system
Recommended article: Nonlinear Oscillations
Recommended article: Chaotic oscillations of a linear hyperbolic PDE with a general nonlinear boundary condition
Recommended article: Approximate solution of a class of nonlinear oscillators in resonance with a periodic excitation
description: scientific article; zbMATH DE number 2093200