Hidden Bursting Firings and Bifurcation Mechanisms in Memristive Neuron Model With Threshold Electromagnetic Induction

Bao, Han; Hu, Aihuang; Liu, Yanyi; Bao, Bocheng

doi:10.1109/tnnls.2019.2905137

Cited by 260 publications

(65 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, it is among our future research interests to utilize the system in such a design. Firing phenomena can also be explored [30]. Also, fractional versions of the system can be developed and also implemented in circuits, which is another promising field of study [3,31].…”

Section: Discussionmentioning

confidence: 99%

Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED

et al. 2021

View full text Add to dashboard Cite

In this paper, a chaotic three dimansional dynamical system is proposed, that is a modification of the system in Volos et al. (2017). The new system has two hyperbolic sine nonlinear terms, as opposed to the original system that only included one, in order to optimize system’s chaotic behavior, which is confirmed by the calculation of the maximal Lyapunov exponents and Kaplan-Yorke dimension. The system is experimentally realized, using Bi-color LEDs to emulate the hyperbolic sine functions. An extended dynamical analysis is then performed, by computing numerically the system’s bifurcation and continuation diagrams, Lyapunov exponents and phase portraits, and comparing the numerical simulations with the circuit simulations. A series of interesting phenomena are unmasked, like period doubling route to chaos, coexisting attractors and antimonotonicity, which are all verified from the circuit realization of the system. Hence, the circuit setup accurately emulates the chaotic dynamics of the proposed system.

show abstract

Section: Discussionmentioning

confidence: 99%

Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED

et al. 2021

View full text Add to dashboard Cite

show abstract

“…The chaotic behavior was first noticed by Lorenz [2] in meteorology. Subsequently, researchers have observed chaotic behaviors in different types of natural and nonnatural phenomena, such as the cluster of stars and the change of electricity [3], [4]. According to the definition in [5], a dynamical system shows chaotic behaviors if it has the properties as follows: 1) sensitivity to its initial states; 2) topological transitivity; and 3) density of periodic orbits.…”

Section: Introductionmentioning

confidence: 99%

Exponential Chaotic Model for Generating Robust Chaos

Hua

Zhou²

2021

IEEE Trans. Syst. Man Cybern, Syst.

View full text Add to dashboard Cite

Robust chaos is defined as the inexistence of periodic windows and coexisting attractors in the neighborhood of parameter space. This characteristic is desired because a chaotic system with robust chaos can overcome the chaos disappearance caused by parameter disturbance in practical applications. However, many existing chaotic systems fail to consider the robust chaos. This article introduces an exponential chaotic model (ECM) to produce new one-dimensional (1-D) chaotic maps with robust chaos. ECM is a universal framework and can produce many new chaotic maps employing any two 1-D chaotic maps as base and exponent maps. As examples, we present nine chaotic maps produced by ECM, discuss their bifurcation diagrams and prove their robust chaos. Performance evaluations also show that these nine chaotic maps of ECM can obtain robust chaos in a large parameter space. To show the practical applications of ECM, we employ these nine chaotic maps of ECM in secure communication. Simulation results show their superior performance against various channel noise during data transmission.

show abstract

“…Memristor, known as the fourth circuit element, is a dazzling star in electronic circuit fundamentals [1]- [2]. Its nano-scale property makes the device occupy exceedingly small layout area in IC application [3], the non-volatile property makes it be well received in neuromorphic circuit and informatics processing [4]- [7], and the nonlinearity property makes it contribute to the generation of abundant and complex dynamical behaviors in memristive chaotic circuits [8]- [12]. Unfortunately, for the difficulty of its fabrication, the physical memristor device is inconvenient to acquire through regular purchasing channels.…”

Section: Introductionmentioning

confidence: 99%

Parallel-Type Asymmetric Memristive Diode-Bridge Emulator and Its Induced Asymmetric Attractor

Zhou

et al. 2020

IEEE Access

View full text Add to dashboard Cite

Symmetry brings beauty, while asymmetry is the general law of nature. This paper reports a novel parallel-type asymmetric memristive diode-bridge (AMDB) emulator, which is implemented by an unbalance diode-bridge linked with a RC filter. Following the voltage constraints of the unbalance diodebridge, the mathematical model of the parallel-type AMDB emulator is established. Thereafter, the asymmetric property of the hysteresis loops is demonstrated by the numerical simulations and confirmed by the hardware experiments. Furthermore, by importing the parallel-type AMDB emulator into the classical Chua's circuit, a novel memristive Chua's circuit is proposed, so that the asymmetric double-scroll chaotic attractor, asymmetric coexisting single-scroll chaotic attractors, and asymmetric coexisting limit cycles can be revealed herein. The parallel-type AMDB emulator enriches the types of memristor emulators and it can mimic the asymmetric property of the physical memristor device.

show abstract

Hidden Bursting Firings and Bifurcation Mechanisms in Memristive Neuron Model With Threshold Electromagnetic Induction

Cited by 260 publications

References 56 publications

Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED

Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED

Exponential Chaotic Model for Generating Robust Chaos

Parallel-Type Asymmetric Memristive Diode-Bridge Emulator and Its Induced Asymmetric Attractor

Contact Info

Product

Resources

About