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 …

Enhancing logistic chaotic map for improved cryptographic security in random number generation

M Alawida - Journal of Information Security and Applications, 2024 - Elsevier
The use of chaotic maps for cryptography is advantageous due to their desirable
characteristics, including complexity, unpredictability, sensitivity to initial values and control …

Anti-control of chaos in rigid body motion

HK Chen, CI Lee - Chaos, Solitons & Fractals, 2004 - Elsevier
Anti-control of chaos for a rigid body has been studied in the paper. For certain feedback
gains, a rigid body can easily generate chaotic motion. Basic dynamical behaviors, such as …

A new chaotic system and its generation

W Liu, G Chen - International Journal of Bifurcation and Chaos, 2003 - World Scientific
A NEW CHAOTIC SYSTEM AND ITS GENERATION | International Journal of Bifurcation and
Chaos World Scientific Search This Journal Anywhere Quick Search in Journals Enter words …

Introduction to chaos-based communications and signal processing

CP Silva, AM Young - 2000 IEEE Aerospace Conference …, 2000 - ieeexplore.ieee.org
The evolution of the new discipline of nonlinear engineering is taking place along two fronts:
the first addressing higher-order effects that have become more important in current designs …

Feedback anticontrol of discrete chaos

G Chen, D Lai - International Journal of Bifurcation and Chaos, 1998 - World Scientific
In this paper, a simple feedback control design method earlier proposed by us for discrete-
time dynamical systems is proved to be a mathematically rigorous approach for anticontrol of …

Chaotification via arbitrarily small feedback controls: Theory, method, and applications

XF Wang, G Chen - International Journal of Bifurcation and Chaos, 2000 - World Scientific
In this paper, the problem of making a stable nonlinear autonomous system chaotic or
enhancing the existing chaos of an originally chaotic system by using a small-amplitude …

On feedback anticontrol of discrete chaos

XF Wang, G Chen - International Journal of Bifurcation and Chaos, 1999 - World Scientific
ON FEEDBACK ANTICONTROL OF DISCRETE CHAOS Page 1 International Journal of
Bifurcation and Chaos, Vol. 9, No. 7 (1999) 1435–1441 c World Scientific Publishing Company …

Counteracting the dynamical degradation of digital chaos via hybrid control

H Hu, Y Deng, L Liu - … in Nonlinear Science and Numerical Simulation, 2014 - Elsevier
Chaotic systems would degrade owing to finite computing precisions, and such degradation
often seriously affects the performance of digital chaos-based applications. In this paper, a …

Chaotifying a stable LTI system by tiny feedback control

XF Wang, G Chen - IEEE Transactions on Circuits and Systems …, 2000 - ieeexplore.ieee.org
The problem of making a stable linear time-invariant (LTI) system chaotic by using state-
feedback control of arbitrarily small magnitude is studied. The feedback controller used is a …