A New Memristor Based Hyperchaotic System

Li, Yuxia; Chi, Wenqing; Huang, Xia

doi:10.1109/iwcfta.2012.37

Cited by 3 publications

(1 citation statement)

References 19 publications

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“…Mou et al discussed the characteristics of dynamical behaviors of a fractional-order 2 Complexity 4D hyperchaotic memristive system and circuit simulation verification [25]. Other memristor-based hyperchaotic systems were also investigated such as numerical analysis about a four-dimensional hyperchaotic system with memristor and conducted circuit simulation verifications [26][27][28][29]. There are also some other chaotic systems developed by memristive models and its applications [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

A New Memristor‐Based 5D Chaotic System and Circuit Implementation

Wang

Li²,

Gao

et al. 2018

Complexity

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This paper proposes a new 5D chaotic system with the flux-controlled memristor. The dynamics analysis of the new system can also demonstrate the hyperchaotic characteristics. The design and analysis of adaptive synchronization for the new memristor-based chaotic system and its slave system are carried out. Furthermore, the modularized circuit designs method is used in the new chaotic system circuit implementation. The Multisim simulation and the physical experiments are conducted, compared, and matched with each other which can demonstrate the existence of the attractor for the new system.

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Section: Introductionmentioning

confidence: 99%

A New Memristor‐Based 5D Chaotic System and Circuit Implementation

Wang

Li²,

Gao

et al. 2018

Complexity

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Studies on a Operational-Amplifier Based Circuit for Simple and Hyper Chaotic Signal Emulation

Akasam

Anoop

2021

2021 IEEE International Symposium on Smart Electronic Systems (iSES)

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Extreme Multistability and Complex Dynamics of a Memristor-Based Chaotic System

Chang

Chen

et al. 2020

Int. J. Bifurcation Chaos

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A memristor with coexisting pinched hysteresis loops and twin local activity domains is presented and analyzed, with an emulator being designed and applied to the classic Chua’s circuit to replace the diode. The memristive system is modeled with four coupled first-order autonomous differential equations, which has three equilibria determined by three static equilibria of the memristor but not controlled by the system parameters. The complex dynamics of the system are analyzed by using compound coexisting bifurcation diagrams, Lyapunov exponent spectra and phase portraits, including point attractors, limit cycles, symmetrical chaotic attractors and their blasting, extreme multistability, state-switching without parameter, and transient chaos. Of particular surprise is that the extreme multistability of the system is hidden and symmetrically distributed. It is found that the existence of transient chaos in the specified parameter domain is determined by using bifurcation diagrams within different time durations and Lyapunov exponents with chaotic sequences. Finally, the symmetrical chaotic attractor and the system blasting are verified by digital signal processing experiments, which are consistent with the numerical analysis.

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A New Memristor Based Hyperchaotic System

Cited by 3 publications

References 19 publications

A New Memristor‐Based 5D Chaotic System and Circuit Implementation

A New Memristor‐Based 5D Chaotic System and Circuit Implementation

Studies on a Operational-Amplifier Based Circuit for Simple and Hyper Chaotic Signal Emulation

Extreme Multistability and Complex Dynamics of a Memristor-Based Chaotic System

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