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- W2108690544 abstract "A chaotic dynamical system is characterized by a positive averaged exponential separation of two neighboring trajectories over a chaotic attractor. Knowledge of the Largest Lyapunov Exponentλ 1 of a dynamical system over a bounded attractor is necessary and sufficient for determining whether it is chaotic (λ 1 >0) or not (λ 1≤0). We intended in this work to elaborate the connection between Local Lyapunov Exponents and the Largest Lyapunov Exponent where an alternative method to calculateλ 1 has emerged. Finally, we investigated some characteristics of the fixed points and periodic orbits embedded within a chaotic attractor which led to the conclusion of the existence of chaotic attractors that may not embed in any fixed point or periodic orbit within it." @default.
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- W2108690544 date "2005-04-01" @default.
- W2108690544 modified "2023-10-16" @default.
- W2108690544 title "Local lyapunov exponents and characteristics of fixed/periodic points embedded within a chaotic attractor" @default.
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- W2108690544 doi "https://doi.org/10.1007/bf02842059" @default.
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