q-deformed logistic map with delay feedback

Details q-deformed logistic map with delay feedback q-deformed logistic map with delay feedback

2012-03-14

arxiv.org/abs/1203.3137v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

The delay logistic map with two types of q-deformations: Tsallis and Quantum-group type are studied. The stability of the map and its bifurcation scheme is analyzed as a function of the deformation and delay feedback parameters. Chaos is suppressed in a certain region of deformation and feedback parameter space. The steady state obtained by delay feedback is maintained in one type of deformation while chaotic behavior is recovered in another type with increasing delay.

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