Different dimensional fractional-order discrete chaotic systems based on the Caputo \(h\)-difference discrete operator: dynamics, control, and synchronization
DOI10.1186/s13662-020-03086-xzbMath1487.39013OpenAlexW3095875068MaRDI QIDQ2144093
Viet-Thanh Pham, Iqbal M. Batiha, Abdelhak Berkane, Adel Ouannas, Giuseppe Grassi, Amina-Aicha Khennaoui, Ibtissem Talbi
Publication date: 1 June 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-03086-x
controlsynchronizationdiscrete fractional calculusdiscrete Lorenz systemLyapunov approachdiscrete Wang system
Fractional derivatives and integrals (26A33) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)
Related Items (4)
Cites Work
- On the stability of some discrete fractional nonautonomous systems
- On Riemann and Caputo fractional differences
- A two-dimensional mapping with a strange attractor
- An exploration of the Hénon quadratic map
- Secure digital communication using discrete-time chaos synchronization
- Chaos synchronization of fractional chaotic maps based on the stability condition
- A new approach for the nonlinear fractional optimal control problems with external persistent disturbances
- Generalized and inverse generalized synchronization of fractional-order discrete-time chaotic systems with non-identical dimensions
- Constrained controllability of the \(h\)-difference fractional control systems with Caputo type operator
- Lyapunov functions for Riemann-Liouville-like 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
- On chaos in the fractional-order Grassi-Miller map and its control
- Stability analysis of Caputo-like discrete fractional systems
- Oligopolies price game in fractional order system
- Different type kernel \(h\)-fractional differences and their fractional \(h\)-sums
- On fractional-order discrete-time systems: chaos, stabilization and synchronization
- Fractional difference operators with discrete generalized Mittag-Leffler kernels
- On delta and nabla Caputo fractional differences and dual identities
- On explicit stability conditions for a linear fractional difference system
- Dual identities in fractional difference calculus within Riemann
- Discrete fractional logistic map and its chaos
- Chaos, control, and synchronization in some fractional-order difference equations
- Theh-Difference Approach to Controllability and Observability of Fractional Linear Systems with Caputo-Type Operator
- The non-integer difference of the discrete-time function and its application to the control system synthesis
- Discrete Fractional Calculus
- Initial value problems in discrete fractional calculus
- DISCRETE-TIME CHAOTIC SYSTEMS: APPLICATIONS IN SECURE COMMUNICATIONS
- Discrete Chaos-I: Theory
- Differences of Fractional Order
- Overview of Fractional h-difference Operators
- Synchronization in chaotic systems
- New variable-order fractional chaotic systems for fast image encryption
- On the Dynamics and Control of a Fractional Form of the Discrete Double Scroll
- Control of chaos: methods and applications in mechanics
- CONDITIONS FOR IMPULSIVE SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC SYSTEMS
- Short memory fractional differential equations for new memristor and neural network design
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