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 novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability

BA Mezatio, MT Motchongom, BRW Tekam… - Chaos, Solitons & …, 2019 - Elsevier
This paper presents a 6D autonomous system, obtained by introducing a flux-controlled
memristor model into an existing 5D hyperchaotic autonomous system. The dynamics of the …

The variable separation solution, fractal and chaos in an extended coupled (2+ 1)-dimensional Burgers system

YW Zhao, JW Xia, X Lü - Nonlinear Dynamics, 2022 - Springer
As one kind of Burgers-type equation, the extended coupled (2+ 1)-dimensional Burgers
system is used to describe certain wave process in oceanography, acoustics or …

Hidden extreme multistability in memristive hyperchaotic system

BC Bao, H Bao, N Wang, M Chen, Q Xu - Chaos, Solitons & Fractals, 2017 - Elsevier
By utilizing a memristor to substitute a coupling resistor in the realization circuit of a three-
dimensional chaotic system having one saddle and two stable node-foci, a novel memristive …

A conservative memristive system with amplitude control and offset boosting

X Zhang, C Li, E Dong, Y Zhao, Z Liu - International Journal of …, 2022 - World Scientific
Based on a variable-boostable chaotic system, a conservative chaotic system with
controllable amplitude and offset is proposed. The system exhibits rich symmetrical …

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 …

Exact recovery of chaotic systems from highly corrupted data

G Tran, R Ward - Multiscale Modeling & Simulation, 2017 - SIAM
Learning the governing equations in dynamical systems from time-varying measurements is
of great interest across different scientific fields. This task becomes prohibitive when such …

Four-wing hidden attractors with one stable equilibrium point

Q Deng, C Wang, L Yang - International Journal of Bifurcation and …, 2020 - World Scientific
Although multiwing hidden attractor chaotic systems have attracted a lot of interest, the
currently reported multiwing hidden attractor chaotic systems are either with no equilibrium …

Color image encryption with cipher feedback and coupling chaotic map

H Liu, A Kadir, C Xu - International Journal of bifurcation and chaos, 2020 - World Scientific
Based on the classic quadratic map (CQM) with abundant bifurcations and periodic
windows, a new 3D improved coupling quadratic map (3D-ICQM) is constructed, and its …

Generating one to four-wing hidden attractors in a novel 4D no-equilibrium chaotic system with extreme multistability

S Zhang, Y Zeng, Z Li, M Wang, L Xiong - Chaos: An Interdisciplinary …, 2018 - pubs.aip.org
By using a simple state feedback controller in a three-dimensional chaotic system, a novel
4D chaotic system is derived in this paper. The system state equations are composed of nine …