Lyapunov exponent


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Lyapunov exponent

[li·pu̇′nȯf ik‚spō·nənt]
(physics)
One of a number of coefficients that describe the rates at which nearby trajectories in phase space converge or diverge, and that provide estimates of how long the behavior of a mechanical system is predictable before chaotic behavior sets in.
References in periodicals archive ?
2010) 'Recurrent neural networks employing Lyapunov exponents for analysis of ECG signals', Expert Systems with Applications, Vol.
It is well known that every ergodic measure whose Lyapunov exponents are all negative of a [C.
4 that the MPI attractor indeed possesses a positive leading Lyapunov exponent with an averaged value of ~3.
The Lyapunov exponent represents the average apart index introduced by each iteration of chaotic system, and reflects the sensitivity to slight change of initial values and randomness of movement tracks, hence, it is suitable to embody the randomness of a chaotic sequence.
from which we recover the Lyapunov exponent of the chaotic logistic map.
In the third section, containing the main results of the work, the theorems from the second section are applied to obtain properties of the Perron and Lyapunov exponents of the solutions of system (1).
In the context of the current paper it is worth noting that the theoretical results regarding the linear magnetic dynamos at sub-Kolmogorov scale rely upon the Lyapunov exponents of chaotic flows (cf.
The average Lyapunov exponent is also calculated 14 to access the global mixing efficiency.
Group means and standard deviation for largest Lyapunov exponent at each joint with different prosthesis setups: prescribed (Rx) and alternate (Ax).
Figure 2 shows some examples of the time plot (left side), recurrence plot (right side), maximum Lyapunov exponent, and surrogate data testing for each pattern (linear, chaotic, and random).
Largest Lyapunov Exponent estimates of pandemic and classical HlN1 encoded sequences LLE (Pandemic H1N1) LLE (Classica H1N1) 2.
Practical methods of measuring the generalized dimension and the largest Lyapunov exponent in high dimensional chaotic systems.