Extreme multi-stability analysis of a novel 5D chaotic system with hidden attractors, line equilibrium, permutation entropy and its secure communication scheme
| Autor: | Christos Volos, Iqtadar Hussain, Hamid Reza Abdolmohammadi, Atefeh Ahmadi, Abdul Jalil M. Khalaf, Lazaros Moysis |
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| Rok vydání: | 2020 |
| Předmět: |
Observer (quantum physics)
business.industry Computer science Chaotic General Physics and Astronomy Lyapunov exponent Topology 01 natural sciences Synchronization 010305 fluids & plasmas Nonlinear Sciences::Chaotic Dynamics symbols.namesake Secure communication 0103 physical sciences Attractor Line (geometry) symbols General Materials Science Physical and Theoretical Chemistry business 010301 acoustics Bifurcation |
| Zdroj: | The European Physical Journal Special Topics. 229:1175-1188 |
| ISSN: | 1951-6401 1951-6355 |
| DOI: | 10.1140/epjst/e2020-900225-9 |
| Popis: | In this paper a new 5D chaotic system with line equilibrium is designed and described to reveal its extreme multi-stability. Hence, all of the resulting attractors are hidden. The suggested system owns many complex dynamic behaviors in comparison with other chaotic systems. System initial state-associated complex dynamical behaviors are considered and we discover that it possesses an immeasurable number of coexisting attractors, which expresses the occurrence of extreme multi-stability. Besides, we also demonstrate the line equilibrium stability in detail, bifurcation diagrams, Lyapunov exponents, and basins of attraction. Also, in order to analyze the new 5D chaotic system we have considered the permutation entropy technique. Finally, the application of the novel 5D chaotic system with line equilibrium to the problem of chaos synchronization and secure communication through observer design is presented. |
| Databáze: | OpenAIRE |
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