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单词 Hyperbolic fixed point
释义

Hyperbolic fixed point

英语百科

Hyperbolic equilibrium point

(重定向自Hyperbolic fixed point)
Orbits near a two-dimensional saddle point, an example of a hyperbolic equilibrium.

In the study of dynamical systems, a hyperbolic equilibrium point or hyperbolic fixed point is a fixed point that does not have any center manifolds. Near a hyperbolic point the orbits of a two-dimensional, non-dissipative system resemble hyperbolas. This fails to hold in general. Strogatz notes that "hyperbolic is an unfortunate name – it sounds like it should mean 'saddle point' – but it has become standard." Several properties hold about a neighborhood of a hyperbolic point, notably

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更新时间:2025/6/17 3:38:13