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.