全局耦合振荡器的非线性动力学:精确解

2006 International Conference on Mathematical Methods in Electromagnetic Theory Pub Date : 2006-09-11 DOI:10.1109/MMET.2006.1689857

G. Pritula, V. Pritula, V. Vekslerchik

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引用次数: 0

摘要

本文在序参数方法的框架下，对全局耦合振子的非线性动力学进行了解析研究。主要结果是描述正交约简中振子行为的非线性系统的精确解析解。我们得到了所有可能相图的完整描述，包括极限环在内的吸引流形的精确表达式，并推导了任意初始数据的解析解

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Nonlinear dynamics of globally coupled oscillators: exact solutions

In the present paper we study analytically the nonlinear dynamics of globally coupled oscillators in the framework of order parameters approach. The main result is the exact analytical solution of the nonlinear system describing the behavior of the oscillators in the orthogonal reduction. We have obtained complete description of all possible phase portraits, the exact expressions for the attracting manifolds including the limit cycle and have derived analytical solutions for arbitrary initial data

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2006 International Conference on Mathematical Methods in Electromagnetic Theory

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