Folded torus in the forced Rayleigh oscillator with a diode pair
作者： N. Inaba , S. Mori
DOI: 10.1109/81.139290
关键词: Mathematics 、 Rayleigh scattering 、 Negative resistance 、 Electronic oscillator 、 Aperiodic graph 、 Torus 、 Amplitude 、 Poincaré map 、 Differential equation 、 Mathematical analysis
摘要: It is known that the periodically forced Rayleigh equation first differential for which an aperiodic solution was ever discovered. However, it has not yet been clarified whether or observable chaos exists in this equation. Chaotic oscillations observed oscillator are investigated detail by using piecewise-linear and degeneration technique. The model a negative resistance LC with pair of diodes driven sinusoidal source. constrained derived from circuit idealizing diode as switch. Poincare map strictly one-dimensional return mapping on circle (so-called map). This becomes noninvertible when amplitude forcing term tuned larger. folded torus well explained mapping. >
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