Dynamics and synchronization of new hyperchaotic complex Lorenz system
作者： Emad E. Mahmoud
DOI: 10.1016/J.MCM.2011.11.053
关键词: Complex system 、 Chaotic 、 Lyapunov function 、 Control theory 、 Lorenz system 、 Synchronization 、 Attractor 、 Lyapunov exponent 、 Mathematics 、 Lyapunov stability
摘要: Abstract The aim of this paper is to introduce a new hyperchaotic complex Lorenz system. This system constructed by adding linear controller the second equation chaotic 7-dimensional continuous real autonomous has attractors and quasi-periodic solutions with three zero Lyapunov exponents, while exist for all parameters values two exponents. fractional dimension calculated. Bifurcation diagrams are used demonstrate behaviors active control method based on stability analysis study synchronization Numerical simulations implemented verify results these investigations.
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