On cascades of bifurcations leading to chaos in several nonlinear dissipative systems of ODEs

DOI10.1016/J.CNSNS.2009.11.019zbMath1222.37035OpenAlexW1985175281MaRDI QIDQ720207

Andrey A. Trebler

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.11.019

zbMATH Keywords

bifurcationsdynamical chaosnumerical simulationsnonlinear ODEs

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Cites Work

• Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
• CLASSIFICATION OF CHAOS IN 3-D AUTONOMOUS QUADRATIC SYSTEMS-I: BASIC FRAMEWORK AND METHODS
• A NEW CHAOTIC ATTRACTOR COINED
• Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations
• Unnamed Item
• Unnamed Item

This page was built for publication: On cascades of bifurcations leading to chaos in several nonlinear dissipative systems of ODEs