This paper discusses various simple models for nonlinear coupling of two standard second- order oscillators. The coupling is based on the idea of the van der Pol equation: small- amplitude disturbances grown and large disturbances decay. This paper examines the effects of discontinuity of coupling, and of the nature and closeness of coupling. the nature of nonlinear coupling is more important in determining the qualitative nature of the dynamics of these systems than the presence or absence of discontinuities. I observe coupled oscillator behavior with either or both oscillators active. In cases where both oscillators are active I find limit cycles and probable strange attractors (chaotic motion).
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机译:本文讨论了两个标准二阶振荡器的非线性耦合的各种简单模型。耦合基于Van der Pol等式的思想:生长的小幅度扰动和大的扰动衰减。本文研究了耦合不连续性的影响,以及耦合的性质和亲密性。非线性耦合的性质在确定这些系统动态的定性性质方面更重要,而不是不连续性的存在或不存在。我观察到耦合的振荡器行为,两个振荡器有效。在两个振荡器有效的情况下,我发现极限循环和可能的奇怪吸引子(混沌运动)。
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