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Answers for “正李雅普诺夫指数是混沌的充分必要条件吗？”

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For dissipative systems, the total sum of all Lyapunov exponents is negative. This expresses net contraction of phase-space volume even if some individual directions expand.

Conditions: System is dissipative.

YouTubeNonlinear Dynamics: Lyapunov Exponents

2:34 – 2:51Watch this moment ↗

Answers for “正李雅普诺夫指数是混沌的充分必要条件吗？”

Why must the sum of Lyapunov exponents be negative for dissipative systems?+