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Dynamical analysis of a Lorenz-like chaotic system. (Chinese. English summary) Zbl 1340.37050

Summary: The dynamical characteristics of a new Lorenz-like chaotic system are analyzed in detail. The stability of the fixed point is studied by a numerical computation, which gets the condition of producing Hopf bifurcation. Then through a numerical simulation, we can get the system’s bifurcation diagram, Lyapunov exponent spectrum, Poincare map, by which we can analysis its dynamical behavior detailedly. At last, through observing the phase portraits, one can get the forming mechanism of this new chaotic attractor structure with the control of the parameters.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37G10 Bifurcations of singular points in dynamical systems
37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
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