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Random parameter-switching synthesis of a class of hyperbolic attractors

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Marius-F. Danca

Editorial: American Institute of Physics, Chaos, 18 (3), p.033111, 2008.


In [2] the attractors of a considered dissipative continuous-time system were syn-
thesized using deterministic manners for parameter-switches. In this paper we extend
these results and prove numerically that the parameter-switching techniques work
even if random switching manners are utilized. The synthesized attractor is identical
to one of the existing attractors obtained by integration of the mathematical model for
a precise parameter value. Moreover, these techniques (deterministic or random) re-
veal a vector space-like structure of the hyperbolic attractors. Numerical simulations
illustrate that a wide range of attractors can be obtained by this scheme. Since any
of the existing attractors can be synthesized with these techniques, chaos control and
anticontrol can be viewed as attractors synthesis via parameter-switching techniques.

Cuvinte cheie: hyperbolic attractors, chaos control, chaos anticontrol