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An asymptotic exponential rate for growth or contraction of infinitesimal perturbations along an orbit. Existence and multiplicity of exponents require differentiability and limiting or ergodic hypotheses.
wp-math-lyapunov-exponentscholarpedia-lyapunov-exponentmit-ocw-nonlinear-dynamicsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Derivatives of a smooth flow along an orbit define finite-time growth factors and, when the relevant limits exist, Lyapunov exponents.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
wp-math-lyapunov-exponentscholarpedia-lyapunov-exponentEach relation below starts at this concept.
No direct relations are authored in this direction.