Ergodic Theory of Chaos and Strange Attractors

Eckmann, J. -., & Ruelle, D. (1985). Ergodic Theory of Chaos and Strange Attractors. Reviews of Modern Physics, 57(3), 617-656.

Type

Journal article

Intellectual base

Primary research

Year

1985

Volume

57

Issue

3

Pages

617-656

DOI

10.1103/revmodphys.57.617

DOI registrant

American Physical Society

Link

https://doi.org/10.1103/RevModPhys.57.617

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Chaos
  • Mathematics → the deterministic rule is a map or ODE; the state space is a manifold; sensitive dependence is the positive largest Lyapunov exponent characterized by Eckmann and Ruelle (1985)

    This sourceCanonical review establishing the modern formal characterization of chaos via Lyapunov exponents, dimensions (excited degrees of freedom), and entropy (information production).

Domain-specific

• Lyapunov Exponent
  • The logarithm turns multiplicative stretching into an additive time-average; division by time makes the result a rate.

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