Global Analysis on a Discontinuous Dynamical System

DOI10.1142/S021812741750078XzbMath1367.34016OpenAlexW2621816986MaRDI QIDQ4976151

Denghui Li, Hebai Chen, Zhenbang Cao, Jian-Hua Xie

Publication date: 27 July 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741750078x

zbMATH Keywords

chaosdiscontinuous dynamical systemsubharmonic solutionharmonic solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Discontinuous ordinary differential equations (34A36) Attractors of solutions to ordinary differential equations (34D45)

Related Items

Periodic solutions of discontinuous damped Duffing equations ⋮ Stability and Bifurcation in a Logistic Model with Allee Effect and Feedback Control

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Harmonic and subharmonic solutions of the SD oscillator
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On the application of KAM theory to discontinuous dynamical systems
• Non-smooth dynamical systems
• Dynamic analysis of piecewise linear oscillators with time-periodic coefficients
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Piecewise-smooth dynamical systems. Theory and applications
• Global bifurcation for a class of planar Filippov systems with symmetry
• Global Analysis on the Discontinuous Limit Case of a Smooth Oscillator
• Bifurcations in Nonsmooth Dynamical Systems
• Unbounded Solutions in Non‐Smooth Dynamical Systems at Resonance
• The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System
• A periodically forced piecewise linear oscillator