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 …

[图书][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 …

Generating multiple chaotic attractors from Sprott B system

Q Lai, S Chen - International Journal of Bifurcation and Chaos, 2016 - World Scientific
Multiple chaotic attractors, implying several independent chaotic attractors generated
simultaneously in a system from different initial values, are a very interesting and important …

Design and implementation of n-scroll chaotic attractors from a general jerk circuit

S Yu, J Lu, H Leung, G Chen - IEEE Transactions on Circuits …, 2005 - ieeexplore.ieee.org
This paper proposes a novel nonlinear modulating function approach for generating n-scroll
chaotic attractors based on a general jerk circuit. The systematic nonlinear modulating …

Designing hyperchaotic systems with any desired number of positive Lyapunov exponents via a simple model

C Shen, S Yu, J Lü, G Chen - IEEE Transactions on Circuits and …, 2014 - ieeexplore.ieee.org
This paper introduces a new and unified approach for designing desirable dissipative
hyperchaotic systems. Based on the anti-control principle of continuous-time systems, a …

A systematic methodology for constructing hyperchaotic systems with multiple positive Lyapunov exponents and circuit implementation

C Shen, S Yu, J Lü, G Chen - IEEE Transactions on Circuits and …, 2013 - ieeexplore.ieee.org
This paper aims at developing a systematic methodology for constructing continuous-time
autonomous hyperchaotic systems with multiple positive Lyapunov exponents. To overcome …

On the simplest fractional-order memristor-based chaotic system

D Cafagna, G Grassi - Nonlinear Dynamics, 2012 - Springer
In 1695, G. Leibniz laid the foundations of fractional calculus, but mathematicians revived it
only 300 years later. In 1971, LO Chua postulated the existence of a fourth circuit element …

Some progresses of chaotic cipher and its applications in multimedia secure communications

S Yu, L Jinhu, C Li - 电子与信息学报, 2016 - jeit.ac.cn
This paper reviews the past situation and existing problems in chaotic cipher theories and
applications, and reports the recent progress of some issues on theoretical design and …

On a new hyperchaotic system

G Qi, MA van Wyk, BJ van Wyk, G Chen - Physics Letters A, 2008 - Elsevier
A new hyperchaotic system is presented, which has two large positive and one small
negative Lyapunov exponent over a large range of parameters. As a consequence, system …

Constructing discrete chaotic systems with positive Lyapunov exponents

C Wang, C Fan, Q Ding - International Journal of Bifurcation and …, 2018 - World Scientific
The chaotic system is widely used in chaotic cryptosystem and chaotic secure
communication. In this paper, a universal method for designing the discrete chaotic system …