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In this paper, the fractional-order Genesio--Tesi system showing chaotic
behaviours is introduced, and the corresponding one in an integer-order form
is studied intensively. Based on the harmonic balance principle, which is
widely used in the frequency analysis of nonlinear control systems, a
theoretical approach is used to investigate the conditions of system
parameters under which this fractional-order system can give rise to a
chaotic attractor. Finally, the numerical simulation is used to verify the
validity of the theoretical results. 相似文献
2.
In this paper, the synchronization in a unified fractional-order
chaotic system is investigated by two methods. One is the
frequency-domain method that is analysed by using the Laplace
transform theory. The other is the time-domain method that is
analysed by using the Lyapunov stability theory. Finally, the
numerical simulations are used to illustrate the effectiveness
of the proposed synchronization methods. 相似文献
3.
In this paper, an approach for chaotifying a stable controllable
linear system via single input state-feedback is presented. The
overflow function of the system states is designed as the
feedback controller, which can make the fixed point of the
closed-loop system to be a snap-back repeller, thereby yields
chaotic dynamics. Based on the Marotto theorem, it proves
theoretically that the closed-loop system is chaotic in the
sense of Li and Yorke. Finally, the simulation results are used
to illustrate the effectiveness of the proposed method. 相似文献
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