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_{1}= 0.3684,L

_{2}= 0.2174,L

_{3}= 0 and L

_{4}=−12.9513, and the Kaplan-Yorke dimension of this 4-D system is found as DKY =3.0452. The 5-D novel hyperchaotic Lorenz system proposed in this work has the Lyapunov exponents L

_{1}= 0.4195,L

_{2}= 0.2430,L

_{3}= 0.0145,L

_{4}= 0 and L

_{5}= −13.0405, and the Kaplan-Yorke dimension of this 5-D system is found as DKY =4.0159. Thus, the novel 5-D hyperchaotic Lorenz system has a maximal Lyapunov exponent (MLE), which is greater than the maximal Lyapunov exponent (MLE) of the 4-D hyperchaotic Lorenz system. The 5-D novel hyperchaotic Lorenz system has a unique equilibrium point at the origin, which is a saddle-point and hence unstable. Next, an adaptive controller is designed to stabilize the novel 5-D hyperchaotic Lorenz system with unknown system parameters. Moreover, an adaptive controller is designed to achieve global hyperchaos synchronization of the identical novel 5-D hyperchaotic Lorenz systems with unknown system parameters. Finally, an electronic circuit realization of the novel 5-D hyperchaotic Lorenz system using SPICE is described in detail to confirm the feasibility of the theoretical model.

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Tom

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409--446

Opis fizyczny

Bibliogr. 131 poz., rys., wzory

Twórcy

autor

- Research and Development Centre, Vel Tech University, Avadi, Chennai- 600062, Tamilnadu, India, sundarvtu@gmail.com

autor

- Physics Department, Aristotle University of Thessaloniki, GR-54124, Greece

autor

- School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam

Bibliografia

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Bibliografia

Identyfikator YADDA

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