Results 161 to 170 of about 614,864 (203)
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Local hysteresis in relaxation oscillators
Physical Review A, 1989Relaxation oscillations are very commonly found in nature. When modulation by an external force is present, a global hysteresis connected with chaos is often encountered. In addition to this kind of hysteresis a qualitatively different ``local'' form is found in some systems. We describe the circumstances under which one observes local hysteresis.
, Alstrom, , Christiansen, , Levinsen
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On a relaxation oscillator with periodic threshold
1993 IEEE International Symposium on Circuits and Systems, 2002The authors analyze a relaxation oscillator which includes a hysteresis element with periodic thresholds. The fundamental interests are in recognition and classification of various nonlinear phenomena. As the period of thresholds varies, the system exhibits various interesting periodic responses. Birfurcation diagrams are shown.
Ken'ichi Kohari +2 more
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BISTABILITY OF HARMONICALLY FORCED RELAXATION OSCILLATIONS
International Journal of Bifurcation and Chaos, 2002Relaxation oscillations appear in processes which involve transitions between two states characterized by fast and slow time scales. When a relaxation oscillator is coupled to an external periodic force its entrainment by the force results in a response which can include multiple periodicities and bistability.
Phillipson, Paul E., Schuster, Peter
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Synchronization of a forced relaxation oscillator
International Journal of Circuit Theory and Applications, 1993AbstractThe paper presents a method of synchronizing a relaxation oscillator to an external signal. the synchronization mechanism is linear and a detailed analysis is given. Very fast acquisition is shown to be possible. the oscillator synchronizes to the frequency of the forcing input or to a sub‐ or superharmonic.
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Stability, Relaxation, and Oscillation of Biodegradation Fronts
SIAM Journal on Applied Mathematics, 2000The authors study the stability and oscillation of traveling fronts in a three-component, advection-reaction biodegradation model. This equation admits traveling waves. Under some condition the system in the hyperbolic scaling limit converges strongly in space and time to a scalar conservation law with picewise linear flux.
Jack X. Xin, James Mac Hyman
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Relaxation oscillation patterns induced by amplitude-modulated excitation in the Duffing system
Chaos, Solitons and Fractals, 2022Xiujing Han, Qinsheng Bi, Yong Zou
exaly
Numerical investigation of the origin of compound relaxation oscillations in a nonlinear oscillator
Nonlinear Dynamics, 2023Xiujing Han, Qinsheng Bi
exaly