A new 4-D multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization
A new 4-D multi-stable hyperchaotic two-scroll system with four quadratic nonlinearities is proposed in this paper. The dynamical properties of the new hyperchaotic system are described in terms of finding equilibrium points, phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, dissipativi...
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| Main Authors: | , , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2020
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| Subjects: | |
| Online Access: | http://eprints.unisza.edu.my/1941/1/FH03-FIK-20-37462.pdf http://eprints.unisza.edu.my/1941/ |
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| Institution: | Universiti Sultan Zainal Abidin |
| Language: | English |
| Summary: | A new 4-D multi-stable hyperchaotic two-scroll system with four quadratic nonlinearities is proposed in this paper.
The dynamical properties of the new hyperchaotic system are described in terms of finding equilibrium points, phase
portraits, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc. We discover that the new hyperchaotic
system has no equilibrium point and hence it exhibits a hidden attractor. Furthermore, we show that the new
hyperchaos system has multi-stability by the coexistence of hyperchaotic attractors for different values of initial
conditions. As a control application, we use integral sliding mode control (ISMC) to derive new results for the
hyperchaos synchronization of the new 4-D multi-stable hyperchaotic two-scroll system with hidden attractor. |
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