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单词 Stable Limit Cycle
释义

Stable Limit Cycle

英语百科

Limit cycle

Stable limit cycle (shown in bold) and two other trajectories spiraling into it
Stable limit cycle (shown in bold) for the Van der Pol oscillator

In mathematics, in the study of dynamical systems with two-dimensional phase space, a limit cycle is a closed trajectory in phase space having the property that at least one another trajectory spirals into it either as time approaches infinity or as time approaches negative infinity. Such behavior is exhibited in some nonlinear systems. Limit cycles have been used to model the behavior of a great many real world oscillatory systems. The study of limit cycles was initiated by Henri Poincaré (1854-1912).

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