๐”– Bobbio Scriptorium
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Chaos and evolution

โœ Scribed by Michael Doebeli; Jacob Koella


Book ID
116110715
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
182 KB
Volume
11
Category
Article
ISSN
0169-5347

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Chaos and evolution
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Chaos and evolution
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The chaotic orbits of dynamical systems have positive Liapunov exponents, and become stochastic and random on long timescales due to the orbital instability, leading to various remarkable phenomena, such as (1) the loss of memory with respect to the initial states, (2) the dissipation of the kinetic

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For a general evolution equation with a Silnikov homoclinic orbit, Smale horseshoes are constructed with the tools of [1] and in the same way as in . The linear part of the evolution equation has a finite number of unstable modes. For evolution equations with infinitely many linearly unstable modes,