A New Memristive Chaotic System with a Plane and Two Lines of Equilibria
| Author | Wang, Zhen |
| Author | Khalaf, Abdul Jalil M. |
| Author | Jafari, Sajad |
| Author | Panahi, Shirin |
| Author | Li, Chunbiao |
| Author | Hussain, Iqtadar |
| Available date | 2024-07-21T06:24:22Z |
| Publication Date | 2021 |
| Publication Name | International Journal of Bifurcation and Chaos |
| Resource | Scopus |
| Identifier | http://dx.doi.org/10.1142/S0218127421500668 |
| ISSN | 2181274 |
| Abstract | A new 4D memristive chaotic system with an infinite number of equilibria is proposed via exhaustive computer search. Interestingly, such a new memristive system has a plane of equilibria and two other lines of equilibria. Lyapunov exponent and bifurcation analysis show that this system has chaotic solutions with coexisting attractors. The basins of attraction of the coexisting attractors show chaos, stable fixed-points, and unbounded solutions. Furthermore, the 2D parameter space of the system is explored to find the optimum values of the parameters using the ALO (Ant Lion Optimizer) optimization algorithm. |
| Sponsor | The work is supported by the Natural Science Foundation of China (Nos. 11726624, 11726623 and 61473237), the Key Research and Development Program of Shaanxi (Nos. 2019GY-025 and 2018GY-091), the Innovation Capability Support Program of Shaanxi (No. 2018GHJD-21), and the Natural Science Basic Research Plan in Shandong Province of China (No. ZR2017PA008). |
| Language | en |
| Publisher | World Scientific |
| Subject | chaos line of equilibria Memristive system multistability plane of equilibria |
| Type | Article |
| Issue Number | 5 |
| Volume Number | 31 |
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Mathematics, Statistics & Physics [699 items ]