Impact oscillators with homoclinic orbit tangent to the wall
type: Item
instance of: scholarly article
title: Impact oscillators with homoclinic orbit tangent to the wall
zbMATH Open document ID: 1331.70061
author: Zhengdong Du
author: Yurong Li
author: Jun Shen
author: Weinian Zhang
published in: Physica D
publication date: 2013-05-28T00:00:00Z
Mathematics Subject Classification ID: 70K44
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 37G25
zbMATH DE Number: 6167129
zbMATH Keywords: impact oscillator
zbMATH Keywords: non-smooth system
zbMATH Keywords: Melnikov method
zbMATH Keywords: homoclinic bifurcation
zbMATH Keywords: chaos
MaRDI profile type: Publication
full work available at URL: j.physd.2012.11.007
OpenAlex ID: W2031320505
cites work: Homoclinic trajectories in discontinuous systems
cites work: Bifurcation and chaos near sliding homoclinics
cites work: An example of chaotic behaviour in presence of a sliding homoclinic orbit
cites work: Bifurcations of subharmonics
cites work: Melnikov method for homoclinic bifurcation in nonlinear impact oscillators
cites work: On Hopf bifurcation in non-smooth planar systems
cites work: Melnikov method for discontinuous planar systems
cites work: Bifurcation phenomena in non-smooth dynamical systems
cites work: The transition to chaos in a simple mechanical system
cites work: Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
cites work: Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter
cites work: Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
cites work: SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS
cites work: Q4336816
cites work: Control of near-grazing dynamics in impact oscillators
cites work: On the origin and bifurcations of stick-slip oscillations
cites work: Low-velocity impacts of quasiperiodic oscillations.
cites work: Local analysis of co-dimension-one and co-dimension-two grazing bifurcations in impact micro\-actuators
cites work: Asymptotic analysis of chattering oscillations for an impacting inverted pendulum
cites work: Border-collision bifurcations including ``period two to period three'' for piecewise smooth systems
cites work: Continuous and discontinuous grazing bifurcations in impacting oscillators
cites work: Analysis of grazing bifurcations of quasiperiodic system attractors
cites work: Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
cites work: Bifurcations in piecewise-smooth feedback systems
cites work: Q4849540
cites work: Q3596245
cites work: Piecewise-smooth dynamical systems. Theory and applications
cites work: Topological Degree Approach to Bifurcation Problems
cites work: Bifurcation and chaos in discontinuous and continuous systems
cites work: Non-smooth dynamical systems
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Exponential dichotomies, heteroclinic orbits, and Melnikov functions
cites work: Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
cites work: Q4692840
cites work: Vibro-impact dynamics. Modeling, mapping and applications
cites work: Bifurcations of planar sliding homoclinics
cites work: Q5508470
cites work: Q3084090
cites work: Periodic occurrence of chaotic behavior of homoclinic tangles
cites work: Dynamics of homoclinic tangles in periodically perturbed second-order equations
DOI: 10.1016/J.PHYSD.2012.11.007
description: scientific article; zbMATH DE number 6167129