Calculation of Lyapunov exponents for dynamic systems with discontinuities

Determining Lyapunov exponents from a time series

Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.2K citations · Full text

Engineering, Entropy, High-dimensional Chaos +3

Ergodic theory of chaos and strange attractors

Jean‐Pierre Eckmann, David Ruelle · Reviews of Modern Physics · 1985 · 4.8K citations

Attractor, Deterministic Dynamical System, Strange Attractors +12

Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory

Giancarlo Benettin, L. Galgani, Antonio Giorgilli et al. · Meccanica · 1980 · 1.8K citations

Hamiltonian Theory, Deterministic Dynamical System, Hamiltonian Systems +6

A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems.

V. I. Oseledec · Medical Entomology and Zoology · 1968 · 1.2K citations

Spectral Theory, Deterministic Dynamical System, Multiplicative Ergodic Theorem +5

A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems

I. Shimada, Tomohiro Nagashima · Progress of Theoretical Physics · 1979 · 1K citations · Full text

Numerical Analysis, Attractor, Deterministic Dynamical System +11