Birth of bilayered torus and torus breakdown in a piecewise-smooth dynamical system

DOI10.1016/J.PHYSLETA.2005.10.080zbMath1234.37057OpenAlexW1976052480MaRDI QIDQ973493

Zhanybai T. Zhusubaliyev, Erik Mosekilde

Publication date: 2 June 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.10.080

zbMATH Keywords

homoclinic bifurcationsheteroclinic bifurcationspiecewise-smooth systemstorus breakdownborder-collision bifurcations

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (19)

TORUS BIFURCATIONS IN MULTILEVEL CONVERTER SYSTEMS ⋮ MANDELBROT-LIKE BIFURCATION STRUCTURES IN CHAOS BAND SCENARIO OF SWITCHED CONVERTER WITH DELAYED-PWM CONTROL ⋮ Torus destruction via global bifurcations in a piecewise-smooth, continuous map with square-root nonlinearity ⋮ From multi-layered resonance tori to period-doubled ergodic tori ⋮ Coexisting tori and torus bubbling in non-smooth systems ⋮ Bifurcation structure of the \(C\)-type period-doubling transition ⋮ Optimizing the dynamics of a two-cell DC-DC buck converter by time delayed feedback control ⋮ Direct transition from a stable equilibrium to quasiperiodicity in non-smooth systems ⋮ BORDER COLLISION BIFURCATIONS IN THREE-DIMENSIONAL PIECEWISE SMOOTH SYSTEMS ⋮ Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation ⋮ MULTIPLE-ATTRACTOR BIFURCATIONS AND QUASIPERIODICITY IN PIECEWISE-SMOOTH MAPS ⋮ Multilayered tori in a system of two coupled logistic maps ⋮ Multistability and hidden attractors in a multilevel DC/DC converter ⋮ Role of the Virtual Fixed Point in the Center Bifurcations in a Family of Piecewise Linear Maps ⋮ Novel routes to chaos through torus breakdown in non-invertible maps ⋮ On torus birth bifurcations in the pulse-width system ⋮ CONTROLLER DESIGN AND ANALYSIS FOR A TWO-CELL DC-DC CONVERTER IN THE PRESENCE OF SATURATION ⋮ BIFURCATION ANALYSIS ON NONSMOOTH TORUS DESTRUCTION SCENARIO OF DELAYED-PWM SWITCHED BUCK CONVERTER ⋮ Transformations of Closed Invariant Curves and Closed-Invariant-Curve-Like Chaotic Attractors in Piecewise Smooth Systems

Cites Work

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• BORDER-COLLISION BIFURCATIONS AND CHAOTIC OSCILLATIONS IN A PIECEWISE-SMOOTH DYNAMICAL SYSTEM
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• Corner collision implies border-collision bifurcation

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