On Dynamics of a Fractional-Order Discrete System with Only One Nonlinear Term and without Fixed Points

Hidden attractors in a new fractional–order discrete system: Chaos, complexity, entropy, and control

(2020) Adel Ouannas et al.   Chinese Physics B

Chaos and control of a three-dimensional fractional order discrete-time system with no equilibrium and its synchronization

(2020) Adel Ouannas et al.   AIP Advances

A Quadratic Fractional Map without Equilibria: Bifurcation, 0–1 Test, Complexity, Entropy, and Control

(2020) Adel Ouannas et al.   Electronics

The fractional form of a new three-dimensional generalized Hénon map

(2019) Lotfi Jouini et al.   Advances in Difference Equations

On chaos in the fractional–order Grassi–Miller map and its control

(2019) Adel Ouannas et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On the Dynamics and Control of a Fractional Form of the Discrete Double Scroll

(2019) Adel Ouannas et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

New variable-order fractional chaotic systems for fast image encryption

(2019) Guo-Cheng Wu et al.   CHAOS

Chaos, control, and synchronization in some fractional-order difference equations

(2019) Amina-Aicha Khennaoui et al.   Advances in Difference Equations

Discrete tempered fractional calculus for new chaotic systems with short memory and image encryption

(2019) Thabet Abdeljawad et al.   OPTIK

Fractional Form of a Chaotic Map without Fixed Points: Chaos, Entropy and Control

(2018) Adel Ouannas et al.   Entropy

Two Simplest Quadratic Chaotic Maps Without Equilibrium

(2018) Shirin Panahi et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

A New Class of Three-Dimensional Maps with Hidden Chaotic Dynamics

(2016) Haibo Jiang et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

The Relationship Between Chaotic Maps and Some Chaotic Systems with Hidden Attractors

(2016) Sajad Jafari et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Dynamical properties of a non-autonomous bouncing ball model forced by non-harmonic excitation

(2016) Marek Lampart et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Chaos synchronization of fractional chaotic maps based on the stability condition

(2016) Guo-Cheng Wu et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps

(2015) Guo-Cheng Wu et al.   Communications in Nonlinear Science and Numerical Simulation

Controlling Dynamics of Hidden Attractors

(2015) Pooja Rani Sharma et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

On explicit stability conditions for a linear fractional difference system

(2015) Jan Čermák et al.   Fractional Calculus and Applied Analysis

Discrete fractional calculus with the nabla operator

(2015) Ferhan M. Atici et al.   Electronic Journal of Qualitative Theory of Differential Equations

Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor

(2014) G. A. Leonov et al.   NONLINEAR DYNAMICS

HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS

(2013) G. A. LEONOV et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Discrete fractional logistic map and its chaos

(2013) Guo-Cheng Wu et al.   NONLINEAR DYNAMICS

Hidden attractor in smooth Chua systems

(2012) G.A. Leonov et al.   PHYSICA D-NONLINEAR PHENOMENA

On Riemann and Caputo fractional differences

(2011) Thabet Abdeljawad   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Dynamical behaviors of a chaotic system with no equilibria

(2011) Zhouchao Wei   PHYSICS LETTERS A

Principles of delta fractional calculus on time scales and inequalities

(2010) George A. Anastassiou   MATHEMATICAL AND COMPUTER MODELLING

On the Implementation of the 0–1 Test for Chaos

(2009) Georg A. Gottwald et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS