Period Doubling and Chaotic Behavior in a Driven Anharmonic Oscillator
نویسنده
چکیده
A driven anharmonic oscillator is described which exhibits period doubling and chaotic behavior. The measured behavior of the oscillator under successive period doublings is in quantitative agreement with a recent theory which describes the behavior of nonlinear systems. Both the scalirg and the convergence rate predicted by the theory are verified by the experiment. The oscillator also exhibits period tripling and quintupling.
منابع مشابه
Effects of additive noise on a nonlinear oscillator exhibiting period doubling and chaotic behavior
A previous paper,1 denoted by I, reported observation of universal chaotic behavior for a driven nonlinear semiconductor oscillator which shows successive period-doubling bifurcations as a route to chaos.2 Semiquantitative agreement was observed for several universal numbers computed from simple nonlinear finite difference equations of the Feigenbaum universality class, which includes the logis...
متن کاملFrequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control
Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...
متن کاملBack-Stepping Sliding Mode Controller for Uncertain Chaotic Colpitts Oscillator with no Chattering
By introducing Colpitts oscillator as a chaotic system, this paper deals with back-stepping control method and investigates the restrictions and problems of the controller where non-existence of a suitable response in the presence of uncertainty is the most important problem to note. In this paper, the back-stepping sliding mode method is introduced as a robust method for controlling nonlinear ...
متن کاملPhase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: a theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias.
A mathematical model for the perturbation of a biological oscillator by single and periodic impulses is analyzed. In response to a single stimulus the phase of the oscillator is changed. If the new phase following a stimulus is plotted against the old phase the resulting curve is called the phase transition curve or PTC (Pavlidis, 1973). There are two qualitatively different types of phase rese...
متن کاملAnalysis of a Chaotic Electrostatic Micro - Oscillator
The closed-loop dynamics of a chaotic electrostatic microbeam actuator are presented. The actuator was found to be an asymmetric two-well potential system with two distinct chaotic attractors: one of which occurs predominantly in the lower well and a second that visits a lower-well orbit and a two-well orbit. Bifurcation diagrams obtained by sweeping the ac voltage amplitudes and frequency are ...
متن کامل