A review of chaotic systems based on memristive Hopfield neural networks

H Lin, C Wang, F Yu, J Sun, S Du, Z Deng, Q Deng - Mathematics, 2023 - mdpi.com
Since the Lorenz chaotic system was discovered in 1963, the construction of chaotic
systems with complex dynamics has been a research hotspot in the field of chaos. Recently …

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 …

Generating any number of initial offset-boosted coexisting Chua's double-scroll attractors via piecewise-nonlinear memristor

S Zhang, C Li, J Zheng, X Wang… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Due to the natural nonlinearity and unique memory characteristics, memristors are
promising candidates for the construction of multiscroll attractors having better application …

Generating multi-scroll Chua's attractors via simplified piecewise-linear Chua's diode

N Wang, C Li, H Bao, M Chen… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
High implementation complexity of multi-scroll circuit is a bottleneck problem in real chaos-
based communication. Especially, in multi-scroll Chua's circuit, the simplified …

Design of pseudorandom number generator based on a controllable multi-double-scroll chaotic system

H Peng, M Ji'e, X Du, S Duan, L Wang - Chaos, Solitons & Fractals, 2023 - Elsevier
The generation, implementation, and application of multi-scroll chaotic systems have been
extensively studied due to their complex dynamic behaviors. This paper introduces a new …

[图书][B] Artificial neural networks for modelling and control of non-linear systems

JAK Suykens, JPL Vandewalle, BL De Moor - 2012 - books.google.com
Artificial neural networks possess several properties that make them particularly attractive for
applications to modelling and control of complex non-linear systems. Among these …

Generation of n-scroll attractors via sine function

WKS Tang, GQ Zhong, G Chen… - IEEE Transactions on …, 2001 - ieeexplore.ieee.org
A new approach for generating n-scroll attractors is introduced. It is demonstrated that n-
scroll attractors can be generated using a simple sine or cosine function. A guideline is …

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 …

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 …

Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits

VO Bragin, VI Vagaitsev, NV Kuznetsov… - Journal of Computer and …, 2011 - Springer
An algorithm for searching hidden oscillations in dynamic systems is developed to help
solve the Aizerman's, Kalman's and Markus-Yamabe's conjectures well-known in control …