Dynamics, synchronization control of a class of discrete quantum game chaotic map

Wang, Shaofu

doi:10.1016/j.physa.2022.127596

Cited by 10 publications

(2 citation statements)

References 8 publications

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“…Many scholars have attempted to describe games in the quantum domain, in particular the quantum scheme proposed by Li et al [4,5]. Some new and exciting dynamical results have been discovered in this research on quantum games, which are diferent from the classical game models [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 98%

Nonlinear Dynamics of a Quantum Cournot Duopoly with Bounded Rationality and Relative Profit Maximization

Tan

Chen

Akgül

2023

Mathematical Problems in Engineering

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Based on boundary rationality and relative profit maximization, quantum game theory is applied to develop a dynamic model of the quantum Cournot duopoly game. We investigate the effect of quantum properties on game stability and nonlinear dynamics. The results show that quantum entanglement can improve the model’s stability and control the generation of bifurcation and chaos when comparing the classical game and the game without considering relative profit maximization. It facilitates the player’s choice of quantum entanglement to control the chaos that emerges in the production output. Numerical simulations verify the chaotic properties of the game by means of bifurcations, maximum Lyapunov exponents, and phase diagrams. The results show that quantum entanglement has different effects on different games.

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Section: Introductionmentioning

confidence: 98%

Nonlinear Dynamics of a Quantum Cournot Duopoly with Bounded Rationality and Relative Profit Maximization

Tan

Chen

Akgül

2023

Mathematical Problems in Engineering

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“…Quantum electronics is an important branch of Quantum science and quantum electronic devices are the core of nanoelectron [1,2]. The research with new concepts and mechanisms represented by QCA has become a hot topic in the quantum field [3][4][5][6][7][8][9]. Many cellular neural networks with cellular coupling have been constructed.…”

Section: Introductionmentioning

confidence: 99%

A fractional-order quantum neural network: dynamics, finite-time synchronization

Wang,

2023

Phys. Scr.

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A model of fractional-order quantum cellular neural network (FoQCNN) by using fractional-order quantum-dot cellular automata (QCA) is constructed and its dynamics are analyzed. Then, a robust finite-time synchronization scheme using terminal sliding mode control (SMC) technique is proposed. And then, taking the perturbed FoQCNN model with uncertainties and external disturbances as an example, the results are simulated which present the proposed scheme is effective. It has robust synchronization performance and good anti-interference ability, which provides a theoretical basis for the application of neural network in security.

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Bifurcations in a new two-cell spiking map: a numerical and experimental study

Buscarino,

Famoso,

Fortuna

2023

Nonlinear Dyn

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In this paper, a new nonlinear discrete-time map is presented. The map is based on a second-order dynamics that, despite the limited number of parameters, is able to produce a rich dynamical behavior, including the onset of spiking trends. This latter case will be particularly emphasized, since it allows to consider the introduced system as a novel discrete-time model for spiking neurons. The study is performed by using a numerical bifurcation approach. Moreover, the possibility to obtain a spiking behavior using noise is also shown. The implementation of the map using advanced microcontroller units and the obtained experimental results are discussed.

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Dynamics, synchronization control of a class of discrete quantum game chaotic map

Cited by 10 publications

References 8 publications

Nonlinear Dynamics of a Quantum Cournot Duopoly with Bounded Rationality and Relative Profit Maximization

Nonlinear Dynamics of a Quantum Cournot Duopoly with Bounded Rationality and Relative Profit Maximization

A fractional-order quantum neural network: dynamics, finite-time synchronization

Bifurcations in a new two-cell spiking map: a numerical and experimental study

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