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Tytuł artykułu

Hyperchaos, adaptive control and synchronization of a novel 5-D hyperchaotic system with three positive Lyapunov exponents and its SPICE implementation

Autorzy
Vaidyanathan S. , Volos C. , Pham V.-T.
Treść / Zawartość
Pełne teksty:
Vaidyanathan.pdf
Identyfikatory
DOI
10.2478/acsc-2014-0023
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this research work, a twelve-term novel 5-D hyperchaotic Lorenz system with three quadratic nonlinearities has been derived by adding a feedback control to a ten-term 4-D hyperchaotic Lorenz system (Jia, 2007) with three quadratic nonlinearities. The 4-D hyperchaotic Lorenz system (Jia, 2007) has the Lyapunov exponents L1 = 0.3684,L2 = 0.2174,L3 = 0 and L4 =−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 L1 = 0.4195,L2 = 0.2430,L3 = 0.0145,L4 = 0 and L5 = −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.
Słowa kluczowe
EN
Wydawca
Polish Academy of Sciences, Committee of Automatic Control and Robotics
Czasopismo
Archives of Control Sciences
Rocznik
2014
Tom
Vol. 24, no. 4
Strony
409--446
Opis fizyczny
Bibliogr. 131 poz., rys., wzory
Twórcy
autor
Vaidyanathan S.
sundarvtu@gmail.com
  • Research and Development Centre, Vel Tech University, Avadi, Chennai- 600062, Tamilnadu, India
autor
Volos C.
  • Physics Department, Aristotle University of Thessaloniki, GR-54124, Greece
autor
Pham V.-T.
  • School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam
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Bibliografia
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