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Chaos–hyperchaos transition in a class of models governed by Sommerfeld effect

Domenii publicaţii > Stiinte ingineresti + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Ligia Munteanu · Cornel Brisan · Veturia Chiroiu · Dan Dumitriu · Rodica Ioan

Editorial: Springer, Nonlinear Dynamics, 78, p.1877-1889, 2014.


The present paper points out the scenario of the hyperchaotic attractor formation (an attractor with
at least two positive Lyapunov exponents) in a class
of models governed by the Sommerfeld effects. The Sommerfeld effect is the result of the conservation law
of energy. When a dynamical system is coupled to a power source, it acts like a energy sink for which a part of the source energy is spend to deform the system rather than increasing the drive speed. The Sommerfeld effect involves riddling bifurcation which explains the
creation of the hyperchaotic attractor.

Cuvinte cheie: Sommerfeld effect · Hyperchaotic attractor · Riddling bifurcation · Lyapunov exponent

URL: http://DOI 10.1007/s11071-014-1575-y