Complex instabilities near codimension-2 bifurcation and torus breakdown in a Ćuk converter with an inductive impedance load

DOI10.1007/S11432-013-5008-1zbMath1327.93212OpenAlexW2262079704MaRDI QIDQ893663

Bo Zhang, Fan Xie, Ru Yang, Dong Yuan Qiu

Publication date: 20 November 2015

Published in: Science China. Information Sciences (Search for Journal in Brave)

Full work available at URL: http://engine.scichina.com/doi/10.1007/s11432-013-5008-1

zbMATH Keywords

codimension-2 bifurcationtorus breakdownchaotic statecoexisting phenomenonĆuk converter

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Application models in control theory (93C95) Circuits, networks (94C99) Dynamical systems in control (37N35)

Cites Work

• Direct transition from a stable equilibrium to quasiperiodicity in non-smooth systems
• Application of Filippov method for the analysis of subharmonic instability in dc-dc converters
• BIFURCATION ANALYSIS ON NONSMOOTH TORUS DESTRUCTION SCENARIO OF DELAYED-PWM SWITCHED BUCK CONVERTER
• Torus birth bifurcations in a DC/DC converter
• Circuit theory of power factor correction in switching converters
• Complex Interaction Between Tori and Onset of Three-Frequency Quasi-Periodicity in a Current Mode Controlled Boost Converter
• Quasi-periodicity and border-collision bifurcations in a DC-DC converter with pulsewidth modulation

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