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A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation. (English) Zbl 1457.93045

Summary: A new 4-D dynamical system with hyperchaos is reported in this work. It is shown that the proposed nonlinear dynamical system with hyperchaos has no equilibrium point. Hence, the new dynamical system exhibits hidden hyperchaotic attractor. An in-depth dynamic analysis of the new hyperchaotic system is carried out with bifurcation transition diagrams, multistability analysis, period-doubling bubbles and offset boosting analysis. Using Integral Sliding Mode Control (ISMC), global hyperchaos synchronization results of the new hyperchaotic system are described in detail. Furthermore, an electronic circuit realization of the new hyperchaotic system has been simulated in MultiSim software version 13.0 and the results of which are in good agreement with the numerical simulations using MATLAB.

MSC:

93C15 Control/observation systems governed by ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
93B12 Variable structure systems
93C10 Nonlinear systems in control theory

Software:

Matlab; Multisim
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Full Text: DOI

References:

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