Complicated quasiperiodic oscillations and chaos from driven piecewise-constant circuit: Chenciner bubbles do not necessarily occur via simple phase-locking
type: Item
instance of: scholarly article
title: Complicated quasiperiodic oscillations and chaos from driven piecewise-constant circuit: Chenciner bubbles do not necessarily occur via simple phase-locking
zbMATH Open document ID: 1384.34022
author: Tri Quoc Truong
author: T. Tsubone
author: Munehisa Sekikawa
author: Naohiko Inaba
published in: Physica D
publication date: 2018-04-24T00:00:00Z
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 94C05
zbMATH DE Number: 6863974
zbMATH Keywords: quasiperiodic oscillations
zbMATH Keywords: Lyapunov analysis
zbMATH Keywords: Arnol'd resonance web
zbMATH Keywords: Chenciner bubbles
zbMATH Keywords: piecewise-constant oscillator
MaRDI profile type: Publication
full work available at URL: j.physd.2016.09.008
OpenAlex ID: W2528353786
cites work: The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol'd resonance web
cites work: Three-frequency quasiperiodicity, phase locking, and the onset of chaos
cites work: Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
cites work: About Landau-Hopf scenario in a system of coupled self-oscillators
cites work: Forced synchronization of quasiperiodic oscillations
cites work: Low-Dimensional Discrete Kuramoto Model: Hierarchy of Multifrequency Quasiperiodicity Regimes
cites work: Synchronization and multi-frequency oscillations in the low-dimensional chain of the self-oscillators
cites work: A structure of the oscillation frequencies parameter space for the system of dissipatively coupled oscillators
cites work: Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance `bubble'
cites work: Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems
cites work: BIFURCATIONS AND TRANSITION TO CHAOS THROUGH THREE-DIMENSIONAL TORI
cites work: Bifurcation boundaries of three-frequency quasi-periodic oscillations in discrete-time dynamical system
cites work: On the road towards multidimensional tori
cites work: Properties of synchronization in the systems of non-identical coupled van der Pol and van der Pol-Duffing oscillators. Broadband synchronization
cites work: Quasi-periodic bifurcations and ``amplitude death'' in low-dimensional ensemble of van der Pol oscillators
cites work: Novel bifurcation structure generated in piecewise-linear three-LC resonant circuit and its Lyapunov analysis
cites work: Three-dimensional tori and Arnold tongues
cites work: Boundary of two frequency behaviour in a system of three weakly coupled electronic oscillators
cites work: Three-torus-causing mechanism in a third-order forced oscillator
cites work: Bifurcation scenarios for a 3D torus and torus-doubling
cites work: Numerical and experimental observation of Arnol'd resonance webs in an electrical circuit
cites work: Resonances in skew and reducible quasi-periodic Hopf bifurcations
cites work: Remarks on interacting Neimark–Sacker bifurcations
cites work: Bifurcation of quasi-periodic oscillations in mutually coupled hard-type oscillators: demonstration of unstable quasi-periodic orbits
cites work: Algorithms for obtaining a saddle torus between two attractors
cites work: Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
cites work: A numerical approach to ergodic problem of dissipative dynamical systems.
cites work: On the nature of turbulence
DOI: 10.1016/J.PHYSD.2016.09.008
description: scientific article; zbMATH DE number 6863974