Generating multiscroll chaotic attractors: theories, methods and applications

J Lü, G Chen - International Journal of Bifurcation and chaos, 2006 - World Scientific
Over the last two decades, theoretical design and circuit implementation of various chaos
generators have been a focal subject of increasing interest due to their promising …

Model free adaptive control of the under-actuated robot manipulator with the chaotic dynamics

O Tutsoy, DE Barkana - ISA transactions, 2021 - Elsevier
Abstract Development of practical control approaches for the under-actuated chaotic
systems such as the robot manipulators are challenging due to the unpredictable character …

Global chaos synchronization of new chaotic systems via nonlinear control

HK Chen - Chaos, Solitons & Fractals, 2005 - Elsevier
Nonlinear control is an effective method for making two identical chaotic systems or two
different chaotic systems be synchronized. However, this method assumes that the …

Dynamical behaviors, circuit design, and synchronization of a novel symmetric chaotic system with coexisting attractors

H Qiu, X Xu, Z Jiang, K Sun, C Cao - Scientific Reports, 2023 - nature.com
In this paper, we introduce a novel three-dimension chaotic system with strange
characteristic by applying construction of a 3D chaotic circuit method. Multiple equilibria and …

Synchronization of fractional order chaotic systems using active control method

SK Agrawal, M Srivastava, S Das - Chaos, Solitons & Fractals, 2012 - Elsevier
In this article, the active control method is used for synchronization of two different pairs of
fractional order systems with Lotka–Volterra chaotic system as the master system and the …

Anti-synchronization of four-wing chaotic systems via sliding mode control

S Vaidyanathan, S Sampath - International Journal of Automation and …, 2012 - Springer
Sliding mode control is an important method used in nonlinear control systems. In robust
control systems, the sliding mode control is often adopted due to its inherent advantages of …

Adaptive synchronization between two different chaotic systems with unknown parameters

H Zhang, W Huang, Z Wang, T Chai - Physics Letters A, 2006 - Elsevier
A unified mathematical expression describing a class of chaotic systems is presented, for
which the problem of adaptive synchronization between two different chaotic systems with …

Adaptive feedback synchronization of a unified chaotic system

J Lu, X Wu, X Han, J Lü - Physics Letters A, 2004 - Elsevier
This Letter further improves and extends the work of Wang et al.[Phys. Lett. A 312 (2003) 34].
In detailed, the linear feedback synchronization and adaptive feedback synchronization with …

Active control and global synchronization of the complex Chen and Lü systems

GM Mahmoud, T Bountis… - International Journal of …, 2007 - World Scientific
Chaos synchronization is a very important nonlinear phenomenon, which has been studied
to date extensively on dynamical systems described by real variables. There also exist …

Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control

Q Yao - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, a novel fixed-time adaptive sliding mode control scheme is proposed for the
synchronization of second-order chaotic systems with system uncertainties and external …