A fractional-order form of a system with stable equilibria and its synchronization
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Publication:1711249
DOI10.1186/S13662-018-1479-0zbMath1445.34028OpenAlexW2784220585MaRDI QIDQ1711249
Hamid Reza Abdolmohammadi, Xiong Wang, Viet-Thanh Pham, Adel Ouannas
Publication date: 17 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1479-0
Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06) Chaos control for problems involving ordinary differential equations (34H10)
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Cites Work
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- Three-dimensional chaotic autonomous system with a circular equilibrium: analysis, circuit implementation and its fractional-order form
- Delayed feedback on the 3-D chaotic system only with two stable node-foci
- Localization of hidden Chua's attractors
- A novel non-equilibrium fractional-order chaotic system and its complete synchronization by circuit implementation
- Elegant chaos in fractional-order system without equilibria
- Hidden attractors in dynamical systems
- Dynamical analysis of a new autonomous 3-D chaotic system only with stable equilibria
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Dynamical analysis of the generalized Sprott C system with only two stable equilibria
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- 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
- The synchronization of chaotic systems
- Chaos synchronization of fractional chaotic maps based on the stability condition
- A chaotic system with an infinite number of equilibrium points located on a line and on a hyperbola and its fractional-order form
- Lyapunov functions for Riemann-Liouville-like fractional difference equations
- A modified numerical scheme and convergence analysis for fractional model of Lienard's equation
- Detailed error analysis for a fractional Adams method
- A fractional-order chaotic system with an infinite number of equilibrium points
- Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity
- Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion
- Multistability and hidden attractors in a multilevel DC/DC converter
- Chaos in a new fractional-order system without equilibrium points
- Lyapunov functions for fractional order systems
- Discrete Chaotic Systems with One-Line Equilibria and Their Application to Image Encryption
- Full state hybrid projective synchronization of variable-order fractional chaotichyperchaotic systems with nonlinear external disturbances and unknown parameters
- A UNIFIED LORENZ-TYPE SYSTEM AND ITS CANONICAL FORM
- CHAOTIC ATTRACTORS OF THE CONJUGATE LORENZ-TYPE SYSTEM
- A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
- AN UNUSUAL 3D AUTONOMOUS QUADRATIC CHAOTIC SYSTEM WITH TWO STABLE NODE-FOCI
- YET ANOTHER CHAOTIC ATTRACTOR
- A New Family of the Local Fractional PDEs
- True Random Bit Generation From a Double-Scroll Attractor
- A new numerical technique for local fractional diffusion equation in fractal heat transfer
- Deterministic Nonperiodic Flow
- A NEW CHAOTIC ATTRACTOR COINED
- Synchronization in chaotic systems
- Hidden Attractors and Dynamical Behaviors in an Extended Rikitake System
- Controlling Dynamics of Hidden Attractors
- A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
- Analysis of fractional differential equations
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