BIFURCATIONS AND CHAOTIC OSCILLATIONS IN AN AUTOMATIC CONTROL RELAY SYSTEM WITH HYSTERESIS

DOI10.1142/S0218127401002699zbMath1206.37054OpenAlexW2094299067MaRDI QIDQ3078453

Vadim N. Rudakov, Zhanybai T. Zhusubaliyev, Erik Mosekilde, Yu. V. Kolokolov, Evgeniy A. Soukhoterin

Publication date: 26 February 2011

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

Full work available at URL: https://doi.org/10.1142/s0218127401002699

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (11)

Quasiperiodicity and torus breakdown in a power electronic dc/dc converter ⋮ Bifurcation-free design method of pulse energy converter controllers ⋮ TWO-PARAMETER DISCONTINUITY-INDUCED BIFURCATIONS OF LIMIT CYCLES: CLASSIFICATION AND OPEN PROBLEMS ⋮ Circuit simulation on control and synchronization of fractional order switching chaotic system ⋮ Application of Filippov method for the analysis of subharmonic instability in dc-dc converters ⋮ The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications ⋮ On torus birth bifurcations in the pulse-width system ⋮ BORDER-COLLISION BIFURCATIONS AND CHAOTIC OSCILLATIONS IN A PIECEWISE-SMOOTH DYNAMICAL SYSTEM ⋮ Oscillations in a relay control system with hysteresis and time dead zone ⋮ Period adding with symmetry breaking/recovering in a power inverter with hysteresis control ⋮ Border-collision bifurcations on a two-dimensional torus

Cites Work

• Chaotic attractors of two-dimensional invertible maps
• Irregular attractors
• A general and exact method for determining limit cycles in decentralized relay systems
• Dynamics and control of large space structures
• BIFURCATION AND HUNTING PHENOMENA OF ROTATING SPEED IN A FLEXIBLE ROTOR SYSTEM CAUSED BY WHIRLING MOTION
• Limit cycles in decentralized relay systems
• Application of Bifurcation Theory to Subsynchronous Resonance in Power Systems
• SYMMETRY, GENERIC BIFURCATIONS, AND MODE INTERACTION IN NONLINEAR RAILWAY DYNAMICS

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