Numerical solutions and synchronization of a variable-order fractional chaotic system
In the present paper, we implement a novel numerical method for solving differential
equations with fractional variable-order in the Caputo sense to research the dynamics of a …
equations with fractional variable-order in the Caputo sense to research the dynamics of a …
Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator
A new set of differential and integral operators has recently been proposed by Abdon et al.,
merging the fractional derivative and the fractal derivative, taking into account non-locality …
merging the fractional derivative and the fractal derivative, taking into account non-locality …
Finite‐time stabilization of complex dynamical networks via optimal control
An optimal control scheme is proposed to stabilize complex networks in finite time.
Furthermore, since it is costly and impractical to control a network by applying controllers to …
Furthermore, since it is costly and impractical to control a network by applying controllers to …
On a New Three‐Dimensional Chaotic System with Adaptive Control and Chaos Synchronization
NA Saeed, HA Saleh, WA El-Ganaini… - Shock and …, 2023 - Wiley Online Library
A three‐dimensional autonomous deterministic chaotic system having six parameters is
explored within this article. The dynamical characteristics of the proposed system are …
explored within this article. The dynamical characteristics of the proposed system are …
Dynamics of a hyperchaotic Lorenz-type system
Y Chen, Q Yang - Nonlinear Dynamics, 2014 - Springer
This paper discusses the complex dynamics of a new four-dimensional continuous-time
autonomous hyperchaotic Lorenz-type system. The local dynamics, such as the stability …
autonomous hyperchaotic Lorenz-type system. The local dynamics, such as the stability …
[PDF][PDF] Control of a new chaotic fractional-order system using Mittag-Leffler stability
Z Hammouch, T Mekkaoui - Nonlinear Stud, 2015 - researchgate.net
Control of a new chaotic fractional-order system using Mittag-Leffler stability Page 1
NONLINEAR STUDIES - www.nonlinearstudies.com Vol. 22, No. 4, pp. 1-13, 2015 c⃝ CSP …
NONLINEAR STUDIES - www.nonlinearstudies.com Vol. 22, No. 4, pp. 1-13, 2015 c⃝ CSP …
Chaotic behavior of Bhalekar–Gejji dynamical system under Atangana–Baleanu fractal fractional operator
In this paper, a new set of differential and integral operators has recently been proposed by
Abdon et al. by merging the fractional derivative and the fractal derivative, taking into …
Abdon et al. by merging the fractional derivative and the fractal derivative, taking into …
An enhanced multi-wing fractional-order chaotic system with coexisting attractors and switching hybrid synchronisation with its nonautonomous counterpart
This paper presents a new chaotic system that exhibits a two wing (2W) chaotic attractor in
its integer order dynamics, three-wing (3W) and four-wing (4W) chaotic attractors in its …
its integer order dynamics, three-wing (3W) and four-wing (4W) chaotic attractors in its …
A new approach for constrained chaos synchronization with application to secure data communication
In this paper, a new technique is introduced for chaos secure data communication. In this
approach, in addition to the usually used techniques for data encryption, the concept of …
approach, in addition to the usually used techniques for data encryption, the concept of …
Ultimate bound sets of a hyperchaotic system and its application in chaos synchronization
HS Nik, S Effati, J Saberi‐Nadjafi - Complexity, 2015 - Wiley Online Library
In this article, we investigate globally exponentially attractive sets and chaos synchronization
for a hyperchaotic system, namely, Lorenz–Stenflo system. For this system, two ellipsoidal …
for a hyperchaotic system, namely, Lorenz–Stenflo system. For this system, two ellipsoidal …