Intermittent and metastable chaos in a memristive artificial neuron with inertia

Wojtusiak, Agnieszka; Balanov, A. G.; Savel’ev, Sergey

doi:10.1016/j.chaos.2020.110383

Cited by 9 publications

(11 citation statements)

References 38 publications

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“…In this part, we are to apply a suitable controller to eliminate the chaotic phenomenon of system (4). By virtue of the idea of Tang et al [37], the fractional-order PD ζ controller can be designed as follows:…”

Section: Suppressing Chaos Via Fractional-order Pd ζ Controllermentioning

confidence: 99%

“…Chaos exists widely in many areas such as climate, physics, chemistry, engineering, economy and finance, complex networks, and population systems [1][2][3][4][5][6]. e chaotic phenomenon depends on the initial condition of the original system.…”

Section: Introductionmentioning

confidence: 99%

“…Remark 2. In this paper, we use the fractional-order PD ζ controller to control the chaos of the fractional-order chaotic chemical reaction model (4). Compared with the time delay feedback controller, the fractional-order PD ζ controller has more adjustable parameters and then can control the chaos of model (4) neatly.…”

mentioning

confidence: 99%

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Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller

Wang

2022

Journal of Mathematics

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In this work, based on the earlier publications, we build a new fractional-order chemical reaction model. Computer simulations manifest that the fractional-order chemical reaction model presents chaotic behavior under a certain parameter condition. To eliminate the chaotic dynamical property, a suitable fractional-order PD ζ controller with time delay is designed. Regarding the time delay as a bifurcation parameter, we set up a novel delay-independent stability and bifurcation criterion guaranteeing the stability and the creation of Hopf bifurcation of the controlled fractional-order chemical reaction model. The influence of time delay on the stability and Hopf bifurcation of the controlled fractional-order chemical reaction model is revealed. At last, numerical simulations are performed to sustain the rationality of the designed PD ζ controller. The obtained conclusions of this work are completely novel and have immense application prospects in the chaos control of chemical reaction systems. Furthermore, the research idea can also be utilized to suppress the chaos of a lot of fractional-order chaotic models.

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Section: Suppressing Chaos Via Fractional-order Pd ζ Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller

Wang

2022

Journal of Mathematics

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“…Chaos widely exists in many areas, such as astronomy, quantum mechanics, economy and finance, weather, climate, network science, thermodynamics, chemistry, probabilistic mathematics, fluid mechanics and so on [1][2][3][4][5][6][7]. The study indicates that chaos has a very important application value in power system protection, flow dynamics, biomedicine, computer technique, information science, cryptology, communication engineering and so on [8].…”

Section: Introductionmentioning

confidence: 96%

Chaos Suppression of a Fractional-Order Modificatory Hybrid Optical Model via Two Different Control Techniques

Gao

et al. 2022

Fractal Fract

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In this current manuscript, we study a fractional-order modificatory hybrid optical model (FOMHO model). Experiments manifest that under appropriate parameter conditions, the fractional-order modificatory hybrid optical model will generate chaotic behavior. In order to eliminate the chaotic phenomenon of the (FOMHO model), we devise two different control techniques. First of all, a suitable delayed feedback controller is designed to control chaos in the (FOMHO model). A sufficient condition ensuring the stability and the occurrence of Hopf bifurcation of the fractional-order controlled modificatory hybrid optical model is set up. Next, a suitable delayed mixed controller which includes state feedback and parameter perturbation is designed to suppress chaos in the (FOMHO model). A sufficient criterion guaranteeing the stability and the onset of Hopf bifurcation of the fractional-order controlled modificatory hybrid optical model is derived. In the end, software simulations are implemented to verify the accuracy of the devised controllers. The acquired results of this manuscript are completely new and have extremely vital significance in suppressing chaos in physics. Furthermore, the exploration idea can also be utilized to control chaos in many other differential chaotic dynamical models.

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“…This device produces resistive switching through the diffusion of Ag-metallic nanoclusters within SiO 2 from one terminal to another, this forms a bridge between the two terminals 1 . The combination of mechanical, thermal and electrical degrees of freedom allows this device to have a wide range of stochastic, dynamical and sometimes chaotic behavior (see, e.g., Ref 17,18 ). Not only is this memristor interesting from a mathematical viewpoint, the device can emulate both long-term and short-term plasticity 1 , meaning that it resembles biological cell mechanics closer than other memristive devices.…”

Section: Introductionmentioning

confidence: 99%

Deterministic modeling of the diffusive memristor

Akther

Ushakov

Balanov

et al. 2021

Chaos: An Interdisciplinary Journal of Nonlinear Science

Self Cite

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Recently developed diffusive memristors have gathered a large amount of research attention due to their unique property to exhibit a variety of spiking regimes reminiscent to that found in biological cells, which creates a great potential for their application in neuromorphic systems of artificial intelligence and unconventional computing. These devices are known to produce a huge range of interesting phenomena through the interplay of regular, chaotic and stochastic behavior. However, the character of these interplays as well as the instabilities responsible for different dynamical regimes are still poorly studied, because of the difficulties in analyzing the complex stochastic dynamics of the memristive devices. In this paper we introduce a new deterministic model justified from the Fokker-Planck description to capture the noise-driven dynamics that noise has been known to produce in the diffusive memristor. This allows us to apply bifurcation theory to reveal the instabilities and the description of the transition between the dynamical regimes.Recently fabricated diffusive memristors 1 show a wide range of complex dynamics determined by the interplay of nanomechanical, heat, and electric degrees of freedom. If the diffusive memristor is connected to a simple circuit with a resistor in series and a capacitor in parallel, such a neuromorphic circuit demonstrates different types of oscillations, some of which are driven by dynamical features of the system and others are induced by noise. More interestingly, the system starts to demonstrate a new class of emerging phenomena which can only appear due to the interplay of dynamical and noise-driven properties. To understand and control the system we need to develop models which uncover such emerging mechanisms, this can be done by proper averaging over the stochastic dynamics and separating fast and slow degrees of freedom within the system which is the goal of this paper.

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Intermittent and metastable chaos in a memristive artificial neuron with inertia

Cited by 9 publications

References 38 publications

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller

Chaos Suppression of a Fractional-Order Modificatory Hybrid Optical Model via Two Different Control Techniques

Deterministic modeling of the diffusive memristor

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Intermittent and metastable chaos in a memristive artificial neuron with inertia

Cited by 9 publications

References 38 publications

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PDζ Controller

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PDζ Controller

Chaos Suppression of a Fractional-Order Modificatory Hybrid Optical Model via Two Different Control Techniques

Deterministic modeling of the diffusive memristor

Contact Info

Product

Resources

About

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller