40 results about "Lyapunov exponent" patented technology

In mathematics the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation of infinitesimally close trajectories. Quantitatively, two trajectories in phase space with initial separation δ𝐙₀ diverge (provided that the divergence can be treated within the linearized approximation) at a rate given by where λ is the Lyapunov exponent.