有作用 发表于 2025-3-21 17:01:14

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magnate 发表于 2025-3-21 22:43:55

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ESO 发表于 2025-3-22 02:28:34

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骑师 发表于 2025-3-22 05:27:08

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Inflated 发表于 2025-3-22 09:37:08

Two-Dimensional SystemsTwo-dimensional dynamical systems can be represented by either a single differential equation of second order, which contains a second derivative with respect to time, or by two equations of first order.

TAG 发表于 2025-3-22 16:07:36

Discrete Maps and Iterations in Space understand the complexity that can originate from simple iterative procedures. Maps are much easier to implement numerically than differential equations and exhibit an incredible richness of complex structures.

流浪者 发表于 2025-3-22 21:05:18

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确认 发表于 2025-3-22 22:33:02

Higher-Dimensional Systems and Chaosines, i.e. they are limit cycles. In general, as long as the ratio between .. and .. is a rational number the trajectories are closed after a finite number of turns inside and around the torus: the flow is .. This situation changes when the ratio between the two frequencies is an irrational number l

锯齿状 发表于 2025-3-23 02:28:22

Stochastic Systemsain a deterministic part (both feel the gravitational force pulling them downwards) but also the frictional force from the surrounding air. For the paper the air matters substantially and leads to an unpredictable path dominated by the random force. For the stone the stochastic force does not matter

Aerophagia 发表于 2025-3-23 08:21:13

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查看完整版本: Titlebook: Nonlinear Dynamics in Complex Systems; Theory and Applicati Armin Fuchs Textbook 2013 Springer-Verlag Berlin Heidelberg 2013 Chaos.Complex