In mathematics, the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation of ... Definition of the maximal... · Lyapunov exponent for time... |
Lyapunov exponent is used to measuring the degree of contraction or divergence of two adjacent trajectories in phase space with different initial conditions ... |
30 окт. 2013 г. · A strictly positive maximal Lyapunov exponent is often considered as a definition of deterministic chaos. This makes sense only when the ... |
The conception “Lyapunov Exponent” has been used widely in the study of dynamical system. Usually, the Lyapunov exponent or Lyapunov characteristic exponent of ... |
A Lyapunov exponent is a measure of the chaotic nature of a system's dynamics, indicating the divergence of nearby trajectories. |
In the limit of infinite time the Lyapunov exponent is a global measure of the rate at which nearby trajectories diverge, averaged over the strange attractor. |
Lyapunov exponent is useful in quantifying the level of chaos in a system, which in turn can be used to detect potential faults. example. lyapExp = ... |
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