Direct Lyapunov method and stability of some solutions of Klein-Gordon nonlinear equation

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作者：
Lavkin, A.G.
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来源：
Izvestiya VUZ: Radiofizika | 1991年 / 34卷 / 03期
关键词：
Electrons - Mathematical Techniques - Differential Equations - Mathematical Techniques - Harmonic Analysis - Physics - Atomic;
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摘要：
With the aim of investigation of stochasticity of solutions of the radial nonlinear Klein-Gordon equation the solutions were analyzed by means of the direct Lyapunov method with the point of view of stability, the absence of which was the proof of stochasticity. It has been shown that the dynamic instability of φ=0 and stability of φ=±1 proven earlier by numerical simulation are confirmed by the direct Lyapunov method.
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页码：333 / 335
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