A threshold function is applied to the chaotic signals to obtain chaotic spreading sequences.
In particular for a family of Casimir elements Gnm, whose eigenvalues in the irreducible representation with highest weight (l1 − n + 1, l2 − n + 2, …, ln) are linear combinations of elementary symmetric polynomials in (l1, …, ln), we obtain chaotic decompositions using iterated stochastic integrals.
Return maps of the chaotic intermediates were obtained and chaotic attractors were reconstructed in a three dimensional phase space using the method of time delays.
For given voltages, the AC frequency bands are obtained for chaotic motion in the specific resonant layers and resonant motions, and such chaotic motions can be very easily sensed by the output transducer in MEMS.
Remark 2 In [16, 28] the authors only obtained the chaotic sets.
The comparison of the autocorrelation of interspike intervals used two time series obtained from chaotic mathematical models as positive controls.
An image of a fingerprint is encrypted via a two-dimensional (2D) chaotic sequence obtained from multi-scroll chaotic attractors.
The two-step decomposition process described by Eq. (4)–(7) is referred to as a sea clutter decomposition model, which can be used to divide sea clutter series and obtain the chaotic likely component.
It is shown that the POD method can obtain accurate chaotic solutions, using fewer modes and less computational effort than the Galerkin mode approach; additionally, the POD method converges faster in the analysis of chaotic transients.
We substitute each element of X 0 into (2) orderly and iterate k times, respectively, and then obtain D chaotic variables CX = [ x 1, x 2,…, x D ], which have different locus.
