International Conference on Mechanical Engineering and Technology (ICMET-London 2011)
96 Research of Generalized Lorenz System Family and Chua's Circuit Based on Simulink
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In mathematics, chaos theory describes the behavior of certain dynamical systems — that is, systems whose states evolve with time — that manifests as an exponential growth of perturbations. Chaos in engineering systems such as nonlinear circuits has gradually moved from being simply a curious phenomenon to one with practical significance and applications. Chaos has been found to be useful or have great potential in many disciplines such as in high-performance circuit design for telecommunication and biomedical engineering applications. The Lorenz system is the first classical chaotic system, the general Lorenz system family is a natural generalization of the classical Lorenz system, which has a similar double-scroll butterfly-like attractor. Chua oscillator is the most famous electrical circuit to exemplify chaos. In the study of this circuit, we will show that the system possesses a strange attractor called the Double Scroll, has well chaotic attractors. In this paper, Models of generalized Lorenz system family and Chua's circuit are established, numerical simulations are presented graphically.