The discrete fractional duffing system: Chaos, 0–1 test, C complexity, entropy, and control
From MaRDI portal
Publication:5129881
DOI10.1063/5.0005059zbMath1445.39004OpenAlexW3049548796WikidataQ98886426 ScholiaQ98886426MaRDI QIDQ5129881
Adel Ouannas, Viet-Thanh Pham, Shaher Momani, Amina-Aicha Khennaoui
Publication date: 2 November 2020
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0005059
Discrete version of topics in analysis (39A12) Bifurcation theory for difference equations (39A28) Chaotic behavior of solutions of difference equations (39A33) Computational methods for problems pertaining to difference and functional equations (39-08)
Related Items
Dynamic analysis of new two‐dimensional fractional‐order discrete chaotic map and its application in cryptosystem, On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator, Unnamed Item, Fractional order logistic map: numerical approach
Cites Work
- Unnamed Item
- Principles of delta fractional calculus on time scales and inequalities
- On Riemann and Caputo fractional differences
- Remarks on fractional derivatives
- Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps
- A two-dimensional mapping with a strange attractor
- An exploration of the Hénon quadratic map
- Discrete chaos in a novel two-dimensional fractional chaotic map
- Generalized and inverse generalized synchronization of fractional-order discrete-time chaotic systems with non-identical dimensions
- On the \(Q\)-\(S\) chaos synchronization of fractional-order discrete-time systems: general method and examples
- The fractional form of a new three-dimensional generalized Hénon map
- Modelling chaos and hyperchaos with 3-D maps
- On chaos in the fractional-order Grassi-Miller map and its control
- 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
- Chaos, control, and synchronization in some fractional-order difference equations
- A new test for chaos in deterministic systems
- Discrete Fractional Calculus
- Discrete fractional calculus with the nabla operator
- Approximate entropy as a measure of system complexity.
- Two-Fluid Model Stability, Simulation and Chaos
- On the Dynamics and Control of a Fractional Form of the Discrete Double Scroll
- Simple mathematical models with very complicated dynamics
- CONDITIONS FOR IMPULSIVE SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC SYSTEMS
