Name
Title | ||
|---|---|---|
Infinitely Many Necklace-Shaped Coexisting Attractors in a Nonautonomous Memcapacitive Oscillator |
Abstract | ||
|---|---|---|
Extreme multistability usually emerges in a mem-element's circuit or system that possesses a line or plane equilibrium set closely associated with the internal initial state of the mem-element. To extend the investigation of extreme multistability, this paper proposes a nonautonomous memcapacitive oscillator, discovering a new type of extreme multistability due to the infinitely many discrete equilibrium points therein. This memcapacitive oscillator is constructed by connecting a simple memcapacitor-resistor circuit with a sinusoidal voltage. With its normalized model, the infinitely many discrete equilibrium points are computed and the infinitely many necklace-shaped coexisting attractors that were not yet reported are disclosed by numerical methods. Since the number and stability of the equilibrium points vary with time, the attraction basins with complex ripple structures are formed in the memcapacitive oscillator, resulting in the appearance of a special type of extreme multistability. Furthermore, PSIM circuit simulations and microcontroller-based hardware experiments are performed to verify the numerical results. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1142/S0218127422500286 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
Bifurcation, chaos, coexisting attractors, extreme multistability, infinitely many discrete equilibrium points, memcapacitive oscillator, nonautonomous system | Journal | 32 |
Issue | ISSN | Citations |
02 | 0218-1274 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bei Chen | 1 | 0 | 0.68 |
| Xinxin Cheng | 2 | 0 | 0.34 |
| Huagan Wu | 3 | 0 | 0.34 |
| Bocheng Bao | 4 | 119 | 19.50 |
| Quan Xu | 5 | 28 | 7.13 |