Modelling discrete time fractional Rucklidge system with complex state variables and its synchronization

DOI10.1016/j.amc.2023.128111OpenAlexW4378531034MaRDI QIDQ6107988

Shaobo He, D. Vignesh, Santo Banerjee

Publication date: 29 June 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2023.128111

zbMATH Keywords

stabilitybifurcationsynchronizationdiscrete fractional calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (1)

Chaos and multi-layer attractors in asymmetric neural networks coupled with discrete fractional memristor

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chaos in the fractional-order complex Lorenz system and its synchronization
• Si'lnikov chaos and Hopf bifurcation analysis of Rucklidge system
• On Riemann and Caputo fractional differences
• Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps
• The complex Lorenz equations
• Chaos synchronization of fractional chaotic maps based on the stability condition
• Generation and suppression of a new hyperchaotic nonlinear model with complex variables
• A new fractional-order chaotic complex system and its antisynchronization
• Existence and stability of nonlinear discrete fractional initial value problems with application to vibrating eardrum
• A note on stability of fractional logistic maps
• Symmetry-breaking and bifurcation diagrams of fractional-order maps
• On Hyers-Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum
• On the dynamics of fractional q-deformation chaotic map
• Global Mittag-Leffler stability and synchronization of discrete-time fractional-order complex-valued neural networks with time delay
• On the dynamics, control and synchronization of fractional-order Ikeda map
• Variable-order fractional discrete-time recurrent neural networks
• On explicit stability conditions for a linear fractional difference system
• Integrability of the Rucklidge system
• Discrete fractional logistic map and its chaos
• Synchronization in coupled integer and fractional-order maps
• Discretized Fractional Calculus
• Discrete Fractional Calculus
• ACTIVE CONTROL AND GLOBAL SYNCHRONIZATION OF THE COMPLEX CHEN AND LÜ SYSTEMS
• Discrete fractional calculus with the nabla operator
• Initial value problems in discrete fractional calculus
• Chaos in models of double convection
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Deterministic Nonperiodic Flow
• CHEN'S ATTRACTOR EXISTS
• A NEW CHAOTIC ATTRACTOR COINED
• Differences of Fractional Order
• Bursting Oscillations and Experimental Verification of a Rucklidge System
• Intermittent Bursting in the Fractional Difference Logistic Map of Matrices
• Chaos Synchronization of the Fractional Rucklidge System based on New Adomian Polynomials
• New variable-order fractional chaotic systems for fast image encryption
• THREE SCHEMES TO SYNCHRONIZE CHAOTIC FRACTIONAL-ORDER RUCKLIDGE SYSTEMS
• Discrete chaos in fractional sine and standard maps
• Dynamical analysis of a fractional discrete-time vocal system

This page was built for publication: Modelling discrete time fractional Rucklidge system with complex state variables and its synchronization