Chaos via torus breakdown from a four-dimensional autonomous oscillator with two diodes

DOI10.1016/j.physd.2011.01.005zbMath1228.94034OpenAlexW2021755322MaRDI QIDQ544096

Yoshifumi Nishio, Tetsuro Endo, Naohiko Inaba

Publication date: 14 June 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2011.01.005

zbMATH Keywords

chaosnonlinear circuittorus breakdown

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

Dynamics of Attractively and Repulsively Coupled Elementary Chaotic Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled DC drive systems
• Tori and Klein bottles in four-dimensional chaotic flows
• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
• Routes to chaos in high-dimensional dynamical systems: a qualitative numerical study
• Quasiperiodicity and torus breakdown in a power electronic dc/dc converter
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Local and global behavior near homoclinic orbits
• Birth and death of the double scroll
• Sigma-finite invariant measures for smooth mappings of the circle
• Chaos via duck solution breakdown in a piecewise linear van der Pol oscillator driven by an extremely small periodic perturbation
• Bifurcations in a mathematical model for circadian oscillations of clock genes
• Supercritical Behavior of Disordered Orbits of a Circle Map
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• ANALYSIS OF TORUS BREAKDOWN INTO CHAOS IN A CONSTRAINT DUFFING VAN DER POL OSCILLATOR
• The double scroll
• The double scroll family
• Qualitative analysis of the periodically forced relaxation oscillations
• Reality of chaos in four-dimensional hysteretic circuits
• On fundamental bifurcations from a hysteresis hyperchaos generator
• A second order differential equation with singular solutions
• Bifurcations and chaos in a system with impacts

This page was built for publication: Chaos via torus breakdown from a four-dimensional autonomous oscillator with two diodes