On the Three-Dimensional Fractional-Order Hénon Map with Lorenz-Like Attractors
DOI10.1142/S021812742050217XzbMath1452.37043OpenAlexW3089285989MaRDI QIDQ4971044
Amina-Aicha Khennaoui, Viet-Thanh Pham, Giuseppe Grassi, Adel Ouannas, Zaid M. Odibat
Publication date: 8 October 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021812742050217x
controlchaossynchronizationCaputo-like difference operatorfractional discrete-time calculusHénon-like map
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Difference operators (39A70)
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Cites Work
- Unnamed Item
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- A new approach to study the coexistence of some synchronization types between chaotic maps with different dimensions
- A note on phase synchronization in coupled chaotic fractional order systems
- Principles of delta fractional calculus on time scales and inequalities
- Existence results for nonlinear fractional difference equation
- On Riemann and Caputo fractional differences
- On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors
- Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps
- Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Chaos control. Theory and applications
- Chaos synchronization of fractional chaotic maps based on the stability condition
- Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system
- Fractional analysis of co-existence of some types of chaos synchronization
- 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
- Chaos in the fractional order Chen system and its control
- Fractional sums and differences with binomial coefficients
- Stability analysis of Caputo-like discrete fractional systems
- A new collection of real world applications of fractional calculus in science and engineering
- On the dynamics, control and synchronization of fractional-order Ikeda map
- On explicit stability conditions for a linear fractional difference system
- On the asymptotic stability of linear system of fractional-order difference equations
- Discrete fractional logistic map and its chaos
- Chaos in a fractional order modified Duffing system
- Chaos control and synchronization in a fractional neuron network system
- On chaos synchronization of fractional differential equations
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach
- The Fractional Trigonometry
- Discrete Fractional Calculus
- Discrete fractional calculus with the nabla operator
- Controlling chaos
- Synchronization of non-identical chaotic systems: an exponential dichotomies approach
- Synchronization in chaotic systems
- THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS