BIFURCATION ANALYSIS ON A SELF-EXCITED HYSTERETIC SYSTEM

DOI10.1142/S0218127404010862zbMath1119.34036OpenAlexW1968735367MaRDI QIDQ4655692

Zhiqiang Wu, Pei Yu, Ke-Qi Wang

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127404010862

zbMATH Keywords

singularity theorynonsmooth functionhysteretic systemconstrained bifurcation problemtransition variety

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems in classical and celestial mechanics (37N05) Hysteresis for ordinary differential equations (34C55)

Related Items (4)

Vortex-induced vibration response bifurcation analysis of top-tensioned riser based on the model of variable lift coefficient ⋮ Classification of parametrically constrained bifurcations ⋮ DETERMINING THE CHARACTERISTICS OF A SELF-EXCITED OSCILLATION IN ROTOR/STATOR SYSTEMS FROM THE INTERACTION OF LINEAR AND NONLINEAR NORMAL MODES ⋮ Transition sets of bifurcations of dynamical systems with two state variables with constraints

Cites Work

• New bifurcation patterns in elementary bifurcation problems with single-side constraint
• Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales
• COMPUTATION OF NORMAL FORMS VIA A PERTURBATION TECHNIQUE
• BIFURCATION SETS OF SYMMETRICAL CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH THREE ZONES
• ASYMPTOTIC ANALYSIS OF A NEW PIECEWISE-LINEAR CHAOTIC SYSTEM

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