BORDER-COLLISION BIFURCATIONS AND CHAOTIC OSCILLATIONS IN A PIECEWISE-SMOOTH DYNAMICAL SYSTEM

DOI10.1142/S0218127401003991zbMath1091.37512OpenAlexW2158078748WikidataQ128788530 ScholiaQ128788530MaRDI QIDQ5474237

Evgeniy A. Soukhoterin, Zhanybai T. Zhusubaliyev, Erik Mosekilde

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127401003991

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discontinuous ordinary differential equations (34A36) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (16)

LOCAL AND GLOBAL BIFURCATIONS IN THREE-DIMENSIONAL, CONTINUOUS, PIECEWISE SMOOTH MAPS ⋮ TORUS BIFURCATIONS IN MULTILEVEL CONVERTER SYSTEMS ⋮ Quasiperiodicity and torus breakdown in a power electronic dc/dc converter ⋮ Non-observable chaos in piecewise smooth systems ⋮ Optimizing the dynamics of a two-cell DC-DC buck converter by time delayed feedback control ⋮ BORDER COLLISION BIFURCATIONS IN THREE-DIMENSIONAL PIECEWISE SMOOTH SYSTEMS ⋮ Hicks' trade cycle revisited: cycles and bifurcations. ⋮ Multistability and hidden attractors in a multilevel DC/DC converter ⋮ PERIOD-DOUBLING SCENARIO WITHOUT FLIP BIFURCATIONS IN A ONE-DIMENSIONAL MAP ⋮ Border-collision bifurcation in closed automatic control systems with sinusoidal pulse-width modulation ⋮ Application of Filippov method for the analysis of subharmonic instability in dc-dc converters ⋮ Birth of bilayered torus and torus breakdown in a piecewise-smooth dynamical system ⋮ BIFURCATIONS IN DC–DC SWITCHING CONVERTERS: REVIEW OF METHODS AND APPLICATIONS ⋮ BIFURCATION INVESTIGATION AND STABILITY ANALYSIS FOR PEAK CURRENT MODE INPUT-SERIES OUTPUT-PARALLEL DC–DC CONVERTERS ⋮ Oscillations in a relay control system with hysteresis and time dead zone ⋮ Border-collision bifurcations on a two-dimensional torus

Cites Work

• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• ``Period three to period two bifurcation for piecewise linear models
• The increasingly complex structure of the bifurcation tree of a piecewise-smooth system
• BIFURCATIONS AND CHAOTIC OSCILLATIONS IN AN AUTOMATIC CONTROL RELAY SYSTEM WITH HYSTERESIS
• Local and global stability of a piecewise linear oscillator
• Transition to chaotic motion in mechanical systems with impacts
• Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter
• BIFURCATIONS OF ATTRACTING CYCLES FROM TIME-DELAYED CHUA’S CIRCUIT
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS

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