Generalized and inverse generalized synchronization of fractional-order discrete-time chaotic systems with non-identical dimensions

DOI10.1186/s13662-018-1764-yzbMath1448.34020OpenAlexW2888893773MaRDI QIDQ1713556

Adel Ouannas, Giuseppe Grassi, Samir Bendoukha, Viet-Thanh Pham, Amina-Aicha Khennaoui, Xiong Wang

Publication date: 25 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1764-y

zbMATH Keywords

discrete fractional calculusgeneralized synchronizationdifferent dimensionsdiscrete chaosinverse generalized synchronization

Mathematics Subject Classification ID

Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (7)

On the dynamics and control of a new fractional difference chaotic map ⋮ Different dimensional fractional-order discrete chaotic systems based on the Caputo \(h\)-difference discrete operator: dynamics, control, and synchronization ⋮ Dynamics, synchronization control of a class of discrete quantum game chaotic map ⋮ A fractional-order discrete noninvertible map of cubic type: dynamics, control, and synchronization ⋮ On the dynamics, control and synchronization of fractional-order Ikeda map ⋮ The discrete fractional duffing system: Chaos, 0–1 test, C complexity, entropy, and control ⋮ On the Three-Dimensional Fractional-Order Hénon Map with Lorenz-Like Attractors

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized synchronization of different dimensional chaotic dynamical systems in discrete time
• A new approach to study the coexistence of some synchronization types between chaotic maps with different dimensions
• Principles of delta fractional calculus on time scales and inequalities
• On Riemann and Caputo fractional differences
• Fractional standard map
• Generalized synchronization of discrete systems
• A two-dimensional mapping with a strange attractor
• An exploration of the Hénon quadratic map
• Chaos synchronization of fractional chaotic maps based on the stability condition
• Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse
• A new approach for the nonlinear fractional optimal control problems with external persistent disturbances
• New aspects of the adaptive synchronization and hyperchaos suppression of a financial model
• A new contribution for the impulsive synchronization of fractional-order discrete-time chaotic systems
• Lyapunov functions for Riemann-Liouville-like fractional difference equations
• An efficient parallel processing optimal control scheme for a class of nonlinear composite systems
• Stability analysis of impulsive fractional difference equations
• Modelling chaos and hyperchaos with 3-D maps
• A novel secure image transmission scheme based on synchronization of fractional-order discrete-time hyperchaotic systems
• Stability analysis of Caputo-like discrete fractional systems
• Universal chaos synchronization control laws for general quadratic discrete systems
• On inverse generalized synchronization of continuous chaotic dynamical systems
• On explicit stability conditions for a linear fractional difference system
• Chaos in a fractional order logistic map
• On the asymptotic stability of linear system of fractional-order difference equations
• Discrete fractional logistic map and its chaos
• Generalized synchronization of different dimensional chaotic dynamical systems
• Chaotic vibration in fractional maps
• Discrete Fractional Calculus
• Discrete fractional calculus with the nabla operator
• Synchronization in chaotic systems
• CONDITIONS FOR IMPULSIVE SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC SYSTEMS
• Discrete chaos in fractional sine and standard maps

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