Multimode chaos in two coupled chaotic oscillators with hard nonlinearities
Multimode chaos in two coupled chaotic oscillators with hard nonlinearities
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具有硬非线性的两个耦合混沌振荡器中的多模混沌
DOI：
10.1109/iscas.1994.409538
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
A. Ushida
中科院分区：
文献类型：
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作者：
Y. Nishio;A. Ushida
研究了两个耦合的具有硬非线性的混沌振子的多模混沌现象。首先，实现了一个简单的具有硬非线性的混沌振子。证明了该混沌振子的原点总是渐近稳定的，并且在给定较大的初始条件下，其解发生倍周期分岔并分岔为混沌.其次，通过计算机计算和电路实验，从两个具有硬非线性的耦合混沌振子中观察到四种不同的振荡模式。振荡模式之一是非共振双模振荡，并且即使在振荡是混沌的情况下也稳定地产生该振荡。即，对于该振荡模式，可以同时激发混沌振荡和周期振荡。我们称这种现象为双模混沌。最后，通过调节耦合电容的大小，证实了双模混沌的拍频是可以改变的。<<ETX>>
In this study, multimode chaos observed from two coupled chaotic oscillators with hard nonlinearities is investigated. At first, a simple chaotic oscillator with hard nonlinearities is realized. It is confirmed that in this chaotic oscillator the origin is always asymptotically stable and that the solution, which is excited by giving relatively large initial conditions, undergoes period-doubling bifurcations and bifurcates to chaos. Next, four different modes of oscillations are observed from two coupled chaotic oscillators with hard nonlinearities by both computer calculations and circuit experiments. One of the modes of oscillation is a nonresonant double-mode oscillation and this oscillation is stably generated even in the case that oscillation is chaotic. Namely, for this oscillation mode, chaotic oscillation and periodic oscillation can be simultaneously excited. We call this phenomena double-mode chaos. Finally, the beat frequency of the double-mode chaos is confirmed to be changed by tuning the value of the coupling capacitor.<<ETX>>
DOI：
10.1115/1.3172988
发表时间：
1987-03
期刊：
--
影响因子：
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作者：
C. Hayashi;D. Mook
通讯作者：
C. Hayashi;D. Mook