Dynamics analysis and fractional-order nonlinearity system via memristor-based Chua oscillator

Sabarathinam, S; Papov, Viktor; Wang, Zi-Peng; Vadivel, R; Gunasekaran, NALLAPPAN

doi:10.1007/s12043-023-02590-5

Cited by 4 publications

(2 citation statements)

References 41 publications

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“…. , n), then we can say that the boundary value problem (1) has a solution such that κ m ∈ C([η, Υ m ], R) satisfying equation (5) and…”

Section: Resultsmentioning

confidence: 99%

“…Te existing diferential equations in this theory are determined by generalizing integer-order derivatives to arbitrary order ones. For the sake of the efective memory of the fractional derivation operator, such classes of equations have been widely used in mathematical modeling including parameter identifcation in the 2D fractional system and modeling of heat distribution in porous aluminum (see [1][2][3][4][5]).…”

Section: Introductionmentioning

confidence: 99%

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Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

Bouazza,

Souid,

Günerhan

et al. 2024

Complexity

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The problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann–Liouville derivative is examined in this article along with its existence and stability. Specifically, the locally solvability, which is equivalent to the existence of solutions, is related to the symmetry of a transformation of a nonlinear equations system. To demonstrate the reliability of the found results, we design an example.

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“…. , n), then we can say that the boundary value problem (1) has a solution such that κ m ∈ C([η, Υ m ], R) satisfying equation (5) and…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

Bouazza,

Souid,

Günerhan

et al. 2024

Complexity

View full text Add to dashboard Cite

show abstract

Predefined finite time anti-phase synchronization studies of Hindmarsh–Rose neuron networks

Lin,

Yang,

et al. 2024

AIP Advances

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This article investigates the anti-phase synchronization of 5D Hindmarsh–Rose neuron networks (5D HRNNs) by using a predefined finite time approach. First, the global finite time stability of dynamic nonlinear systems is studied by using the inequality theorem. Then, by designing new negative predefined finite time controllers, in light of the Lyapunov functional method, novel predefined finite time anti-phase synchronization criteria are established for the considered 5D HRNNs. The anti-phase synchronization time of each state variable of two 5D HRNNs is different and can be defined in advance. Finally, two examples are used to verify the accuracy of the theorems.

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Robust sampled-data synchronization of chaotic fractional variable order neural networks with time delays

Kiruthika,

Manivannan

2024

Eur. Phys. J. Spec. Top.

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Dynamics analysis and fractional-order nonlinearity system via memristor-based Chua oscillator

Cited by 4 publications

References 41 publications

Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

Predefined finite time anti-phase synchronization studies of Hindmarsh–Rose neuron networks

Robust sampled-data synchronization of chaotic fractional variable order neural networks with time delays

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