Constructing conditional symmetry in symmetric chaotic systems

C Li, JC Sprott, X Zhang, L Chai, Z Liu - Chaos, Solitons & Fractals, 2022 - Elsevier
Based on the analysis of polarity balance and exhaustive computer searching, a series of
symmetric chaotic flows is found for hosting conditional symmetry. Symmetric structure …

A simple Jerk-like system without equilibrium: Asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees

S Zhang, Y Zeng - Chaos, Solitons & Fractals, 2019 - Elsevier
The topic associated with hidden attractor and multistability has been received considerable
attention recently. In this paper, a novel no-equilibrium Jerk-like chaotic system is …

A memristive chaotic oscillator with controllable amplitude and frequency

X Zhang, C Li, Y Chen, HC Herbert, T Lei - Chaos, Solitons & Fractals, 2020 - Elsevier
Broadband frequency property of chaos stands in the way of application. Internal parameter
of a memristor leaves a new opportunity for easy amplitude/frequency control. Based on a …

High speed FPGA-based chaotic oscillator design

M Tuna, M Alçın, İ Koyuncu, CB Fidan… - Microprocessors and …, 2019 - Elsevier
In this study, autonomous Lü-Chen (2002) chaotic system has been implemented on FPGA
using Heun numerical algorithm in VHDL 32-bit IQ-Math fixed-point number format for …

CCII and FPGA Realization: A Multistable Modified Fourth‐Order Autonomous Chua's Chaotic System with Coexisting Multiple Attractors

F Yu, H Shen, L Liu, Z Zhang, Y Huang, B He… - …, 2020 - Wiley Online Library
In this paper, a multistable modified fourth‐order autonomous Chua's chaotic system is
investigated. In addition to the dynamic characteristics of the third‐order Chua's chaotic …

[PDF][PDF] Chaotic dynamics of modified Wien bridge oscillator with fractional order memristor

K Rajagopal, C Li, F Nazarimehr… - …, 2019 - pdfs.semanticscholar.org
In this paper a modified third order Wien bridge oscillator with fractional order memristor is
proposed. Various dynamical properties of the proposed oscillator are investigated such as …

Dynamic analysis and robust control of a chaotic system with hidden attractor

H Tian, Z Wang, P Zhang, M Chen, Y Wang - Complexity, 2021 - Wiley Online Library
In this paper, a 3D jerk chaotic system with hidden attractor was explored, and the
dissipativity, equilibrium, and stability of this system were investigated. The attractor types …

Dynamics of a neuron exposed to integer-and fractional-order discontinuous external magnetic flux

K Rajagopal, F Nazarimehr, A Karthikeyan… - Frontiers of Information …, 2019 - Springer
We propose a modified Fitzhugh-Nagumo neuron (MFNN) model. Based on this model, an
integer-order MFNN system (case A) and a fractional-order MFNN system (case B) were …

A conditional symmetric memristive system with amplitude and frequency control

Z Gu, C Li, X Pei, C Tao, Z Liu - The European Physical Journal Special …, 2020 - Springer
By introducing a memristor into a chaotic system with a single non-quadratic term and
substituting an absolute value function for conditional symmetry, a unique chaotic system is …

Multi-stable hidden attractor chaotic system and its analog coexistence circuit realization

Q Su, C Dong - Journal of Statistical Mechanics: Theory and …, 2024 - iopscience.iop.org
This paper proposes a multi-stable chaotic system with relatively complex hidden attractors.
The dynamic performance of chaotic systems is under investigation via numerical …