Chaotic flows with special equilibria

Z Wang, Z Wei, K Sun, S He, H Wang, Q Xu… - The European Physical …, 2020 - Springer
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …

Chaos in analog electronic circuits: Comprehensive review, solved problems, open topics and small example

J Petrzela - Mathematics, 2022 - mdpi.com
This paper strives to achieve a comprehensive review of chaos in analog circuits and
lumped electronic networks. Readers will be guided from the beginning of the investigations …

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 **ong - 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 …

A simple no-equilibrium chaotic system with only one signum function for generating multidirectional variable hidden attractors and its hardware implementation

S Zhang, X Wang, Z Zeng - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
This paper proposes a simple no-equilibrium chaotic system with only one signum function
as compared with the existing no-equilibrium chaotic ones with at least one quadratic or …

FPGA implementation of novel fractional-order chaotic systems with two equilibriums and no equilibrium and its adaptive sliding mode synchronization

K Rajagopal, A Karthikeyan, AK Srinivasan - Nonlinear Dynamics, 2017 - Springer
This paper introduces two novel fractional-order chaotic systems with cubic nonlinear
resistor and investigates its adaptive sliding mode synchronization. Firstly the novel two …

Simple chaotic 3D flows with surfaces of equilibria

S Jafari, JC Sprott, VT Pham, C Volos, C Li - Nonlinear Dynamics, 2016 - Springer
Using a systematic computer search, twelve simple three-dimensional chaotic flows were
found that have surfaces of equilibria. Although there are some four-dimensional systems …

A new three-dimensional chaotic system with a hidden attractor, circuit design and application in wireless mobile robot

S Vaidyanathan, A Sambas, M Mamat… - Archives of Control …, 2017 - yadda.icm.edu.pl
This research work proposes a new three-dimensional chaotic system with a hidden
attractor. The proposed chaotic system consists of only two quadratic nonlinearities and the …

A new double-wing chaotic system with coexisting attractors and line equilibrium: bifurcation analysis and electronic circuit simulation

A Sambas, S Vaidyanathan, S Zhang, Y Zeng… - IEEE …, 2019 - ieeexplore.ieee.org
This research work reports a double-wing chaotic system with a line of equilibrium points
and constructs an electronic circuit via MultiSIM for practical implementation. Explicitly, the …

Chaotic chameleon: Dynamic analyses, circuit implementation, FPGA design and fractional-order form with basic analyses

K Rajagopal, A Akgul, S Jafari, A Karthikeyan… - Chaos, Solitons & …, 2017 - Elsevier
There are many recent investigations on chaotic systems with self-excited and hidden
attractors. In this paper we introduce a chaotic system in which the attractor can change …

A novel chaotic system with two circles of equilibrium points: multistability, electronic circuit and FPGA realization

A Sambas, S Vaidyanathan, E Tlelo-Cuautle, S Zhang… - Electronics, 2019 - mdpi.com
This paper introduces a new chaotic system with two circles of equilibrium points. The
dynamical properties of the proposed dynamical system are investigated through evaluating …