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Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system.
- Source :
- International Journal of Nonlinear Sciences & Numerical Simulation; Nov2023, Vol. 24 Issue 7, p2639-2648, 10p
- Publication Year :
- 2023
-
Abstract
- This paper discusses the complex dynamic behavior of a novel chaotic system, which was firstly established by introducing a memristor into a similar Chen's system. Then by choosing a as the key parameter, we analyze the stability of memristor system based on eigenvalue theory. It is also found that when a cross some critical values, the system can exhibit Neimark–Sacker bifurcation and chaos behaviors. Some numerical simulations including phase diagrams and maximum Lyapunov exponent graph of the memristor-based systems are presented to verify the existence of chaos attractors. Finally, to make the results of this paper useful in the actual situation, such as the design of chaos security algorithm, analog electronic circuit of memristor chaotic system is designed. [ABSTRACT FROM AUTHOR]
- Subjects :
- CHAOS theory
LYAPUNOV exponents
ANALOG circuits
ELECTRONIC circuits
PHASE diagrams
Subjects
Details
- Language :
- English
- ISSN :
- 15651339
- Volume :
- 24
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- International Journal of Nonlinear Sciences & Numerical Simulation
- Publication Type :
- Academic Journal
- Accession number :
- 173777492
- Full Text :
- https://doi.org/10.1515/ijnsns-2021-0393