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 …

A new chaotic system and beyond: the generalized Lorenz-like system

J Lü, G Chen, D Cheng - International Journal of Bifurcation and …, 2004 - World Scientific
This article introduces a new chaotic system of three-dimensional quadratic autonomous
ordinary differential equations, which can display (i) two 1-scroll chaotic attractors …

[BUCH][B] Elegant chaos: algebraically simple chaotic flows

JC Sprott - 2010 - books.google.com
This heavily illustrated book collects in one source most of the mathematically simple
systems of differential equations whose solutions are chaotic. It includes the historically …

Optical color image encryption scheme with a novel DNA encoding algorithm based on a chaotic circuit

M Yildirim - Chaos, Solitons & Fractals, 2022 - Elsevier
An optical setup with a unique color image cryptography technique employing a chaotic
system is suggested in this study. For this purpose, deoxyribonucleic acid (DNA) encoding is …

Pinning adaptive synchronization of a general complex dynamical network

J Zhou, J Lu, J Lü - Automatica, 2008 - Elsevier
There are two challenging fundamental questions in pinning control of complex networks:(i)
How many nodes should a network with fixed network structure and coupling strength be …

Generating hyperchaotic Lü attractor via state feedback control

A Chen, J Lu, J Lü, S Yu - Physica A: Statistical Mechanics and its …, 2006 - Elsevier
This paper constructs a new hyperchaotic system based on Lü system by using a state
feedback controller. The detailed dynamical behaviors of this hyperchaotic system are …

On hybrid impulsive and switching systems and application to nonlinear control

ZH Guan, DJ Hill, X Shen - IEEE Transactions on Automatic …, 2005 - ieeexplore.ieee.org
In this note, a new class of hybrid impulsive and switching models is introduced and their
asymptotic stability properties are investigated. Using switched Lyapunov functions, some …

Synchronization of an uncertain unified chaotic system via adaptive control

S Chen, J Lü - Chaos, Solitons & Fractals, 2002 - Elsevier
Synchronization of an uncertain unified chaotic system via adaptive control - ScienceDirect
Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in …

Chaotic attractors in incommensurate fractional order systems

MS Tavazoei, M Haeri - Physica D: Nonlinear Phenomena, 2008 - Elsevier
In this paper, based on the stability theorems in fractional differential equations, a necessary
condition is given to check the existence of 1-scroll, 2-scroll or multi-scroll chaotic attractors …

Analysis of a new chaotic system

G Qi, G Chen, S Du, Z Chen, Z Yuan - Physica A: Statistical Mechanics and …, 2005 - Elsevier
This paper reports a new three-dimensional continuous quadratic autonomous chaotic
system, modified from the Lorenz system, in which each equation contains a single …