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 …

[PDF][PDF] Chaos and Time-Series Analysis

J Sprott - 2003 - test-sprott.physics.wisc.edu
This text provides an introduction to the exciting new developments in chaos and related
topics in nonlinear dynamics, including the detection and quantification of chaos in …

[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 …

Chaos in fractional-order autonomous nonlinear systems

WM Ahmad, JC Sprott - Chaos, Solitons & Fractals, 2003 - Elsevier
We numerically investigate chaotic behavior in autonomous nonlinear models of fractional
order. Linear transfer function approximations of the fractional integrator block are calculated …

Memristor-based chaotic circuits

B Muthuswamy, PP Kokate - IETE Technical Review, 2009 - Taylor & Francis
Ever since its physical fabrication in 2008, the memristor has been promising in the fields of
nanoelectronics, computer logic and neuromorphic computers. Taking advantage of the …

[HTML][HTML] Analysis, control, synchronization, and circuit design of a novel chaotic system

V Sundarapandian, I Pehlivan - Mathematical and Computer Modelling, 2012 - Elsevier
This article introduces a novel three-dimensional autonomous chaotic system with a single
cubic nonlinearity. Several issues, such as the basic dynamical behaviour, equilibria …

True random bit generation from a double-scroll attractor

ME Yalçin, JAK Suykens… - IEEE Transactions on …, 2004 - ieeexplore.ieee.org
In this paper, a novel true random bit generator (TRBG) based on a double-scroll attractor is
proposed. The double-scroll attractor is obtained from a simple model which is qualitatively …

Design and analysis of multiscroll chaotic attractors from saturated function series

J Lu, G Chen, X Yu, H Leung - IEEE Transactions on Circuits …, 2004 - ieeexplore.ieee.org
This paper initiates a saturated function series approach for chaos generation. The
systematic saturated function series methodology developed here can create multiscroll …

A new chaotic jerk circuit

JC Sprott - IEEE Transactions on Circuits and Systems II …, 2011 - ieeexplore.ieee.org
Much recent interest has been given to simple chaotic oscillators based on jerk equations
that involve a third-time derivative of a single scalar variable. The simplest such equation …