Reduction of Complexity by Optimal Driving Forces
In general nonlinear waves are not stable in a chain of finite length. Since they have a finite lifetime, it is important to investigate the production of nonlinear waves, e.g. the production of solitons. A general feature of nonlinear waves is the amplitude frequency coupling, which causes the excitation by sinusoidal driving forces to be very inefficient. The response is usually very complex in addition. We present a method to calculate special aperiodic driving forces, which generates nonlinear waves very efficiently. The response to these driving forces is very simple.
KeywordsNonlinear Wave Nonlinear Oscillator Field Amplitude Sine Gordon Equation Chaotic State
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- 1.T. Eisenhammer, A. Hübler, T. Geisel, E. Löscher, Scaling Behavior of the Maximum Energy Exchange between Coupled Anharmonic Oscillators, to be publishedGoogle Scholar
- 2.T.F. Hueter and R.H. Bolt,“Sonics”,John Wiley amp; Sons, New York 1966, 5th ed., p.20Google Scholar
- 5.A. Hübler, E. Löscher, Resonant stimulation and control of complex systems, Helv.Phys.Acta 61: (1989)Google Scholar