A fractional-order discrete noninvertible map of cubic type: dynamics, control, and synchronization
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Publication:2187051
DOI10.1155/2020/2935192zbMath1444.37092OpenAlexW3027118445MaRDI QIDQ2187051
Dafeng Tang, Ling Hong, Li-xin Yang, Xiao-Jun Liu
Publication date: 10 June 2020
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/2935192
Fractional derivatives and integrals (26A33) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Cites Work
- Unnamed Item
- Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model
- On Riemann and Caputo fractional differences
- A note on the fractional-order Chen system
- The effect of vaccines on backward bifurcation in a fractional order HIV model
- A two-dimensional mapping with a strange attractor
- A new contribution for the impulsive synchronization of fractional-order discrete-time chaotic systems
- Generalized and inverse generalized synchronization of fractional-order discrete-time chaotic systems with non-identical dimensions
- Quantitative universality for a class of nonlinear transformations
- Stability analysis of Caputo-like discrete fractional systems
- Bifurcation and chaos of a new discrete fractional-order logistic map
- A new collection of real world applications of fractional calculus in science and engineering
- On fractional-order discrete-time systems: chaos, stabilization and synchronization
- On the dynamics, control and synchronization of fractional-order Ikeda map
- On explicit stability conditions for a linear fractional difference system
- Hopf bifurcation analysis of a new commensurate fractional-order hyperchaotic system
- Chaos in a fractional order logistic map
- Chaos and mixed synchronization of a new fractional-order system with one saddle and two stable node-foci
- Dynamical Analysis and Circuit Simulation of a New Fractional-Order Hyperchaotic System and Its Discretization
- Bifurcation of a Duffing Oscillator Having Nonlinear Fractional Derivative Feedback
- Discrete Fractional Calculus
- BIFURCATION AND CHAOS IN THE FRACTIONAL-ORDER CHEN SYSTEM VIA A TIME-DOMAIN APPROACH
- On a New Definition of the Fractional Difference
- BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS
- Differences of Fractional Order
- Simple mathematical models with very complicated dynamics
- Adaptive synchronization of new fractional‐order chaotic systems with fractional adaption laws based on risk analysis
- Discrete chaos in fractional sine and standard maps