A new way to compute the Lyapunov characteristic exponents for non-smooth and discontinues dynamical systems

Deterministic Nonperiodic Flow

Edward N. Lorenz · Journal of the Atmospheric Sciences · 1963 · 19.3K citations · Full text

Natural Sciences, Mathematics, Physics +12

Determining Lyapunov exponents from a time series

Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.4K citations · Full text

Natural Sciences, Physics, Dynamical Systems +13

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 · 1.9K citations

Natural Sciences, Mathematics, Physics +15

The analysis of observed chaotic data in physical systems

Henry D. I. Abarbanel, Reggie Brown, John J. Sidorowich et al. · Reviews of Modern Physics · 1993 · 1.9K citations

Natural Sciences, Physics, Dynamical Systems +15

Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application

Giancarlo Benettin, L. Galgani, Antonio Giorgilli et al. · Meccanica · 1980 · 1K citations

Natural Sciences, Mathematics, Physics +16