منابع مشابه
On hopf bifurcation of Liu chaotic system
Since the pioneering work of Lorenz [1] and Rössler [2], it has been known that chaos can occur in systems of autonomous ordinary differential equations with as few as three variables and one or two quadratic nonlinearities. Many other chaotic systems have been discovered over the last years [3–7]. There have been extensive investigations on dynamical behaviors of these chaotic systems [8–14]. ...
متن کاملHopf Bifurcation for a New Chaotic System
In this paper, a three dimensional autonomous chaotic system is considered. The existence of Hopf bifurcation is investigated by choosing the appropriate bifurcation parameter. Furthermore, formulas for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are derived with the help of normal form theory. Finally, a numerical example is given. Keyw...
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This paper derives new results on the active controller design for the output regulation problem of the LiuLiu-Liu-Su chaotic system (2006), which is one of the paradigms of 3-dimensional chaotic systems discovered by C. Liu, T. Liu, L. Liu and Y. Su. Explicitly, for the constant tracking problem, new state feedback control laws have been derived for regulating the output of the Liu-Liu-Liu-Su ...
متن کاملCoherence resonance near the Hopf bifurcation in coupled chaotic oscillators.
We uncover a coherence resonance near the Hopf bifurcation from chaos in coupled chaotic oscillators. At the bifurcation, a nearly periodic rotating wave becomes stable as the state of synchronous chaos is destabilized. We find that noise can induce the bifurcation and, more strikingly, it can enhance the temporal regularity of the wave pattern in the coupled system. This resonant phenomenon is...
متن کاملAnti-control of Hopf bifurcation in the new chaotic system with two stable node-foci
In order to further understand a complex 3D dynamical system showing strange chaotic attractors with two stable node-foci near Hopf bifurcation point, we propose nonlinear control scheme to the system and the controlled system, depending on five parameters, can exhibit codimension one, two, and three Hopf bifurcations in a much larger parameter regain. The control strategy used keeps the equili...
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2013
ISSN: 2391-4661
DOI: 10.1515/dema-2013-0426