Stable torus and its bifurcation phenomena in a simple three-dimensional autonomous circuit

DOI10.1016/j.chaos.2005.04.092zbMath1089.94050OpenAlexW2088124913MaRDI QIDQ813469

Y. Nishiuchi, Hiroshi Kawakami, Tetsushi Ueta

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.092

zbMATH Keywords

Neimark-Sacker bifurcationextended Bonhöffer-van der Pol (BVP) oscillator

Mathematics Subject Classification ID

Analytic circuit theory (94C05)

Related Items (6)

Piecewise Linear Analogue of Hopf-Zero Bifurcation in an Extended BVP Oscillator ⋮ Stern-Brocot trees in cascades of mixed-mode oscillations and canards in the extended Bonhoeffer-van der Pol and the FitzHugh-Nagumo models of excitable systems ⋮ Dynamics of coupled generators of quasiperiodic oscillations: different types of synchronization and other phenomena ⋮ Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer-van der Pol oscillator ⋮ Chaotic system with bondorbital attractors ⋮ The Simplest Map with Three-Frequency Quasi-Periodicity and Quasi-Periodic Bifurcations

Cites Work

• Qualitative investigation of a particular nonlinear system
• The double scroll family
• Chaos via torus breakdown
• A CMOS IC nonlinear resistor for Chua's circuit
• A universal circuit for studying and generating chaos. I. Routes to chaos
• A universal circuit for studying and generating chaos. II. Strange attractors
• Confirmation of the Afraimovich-Shilnikov torus-breakdown theorem via a torus circuit
• Unnamed Item

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