Extreme events in dynamical systems and random walkers: A review

SN Chowdhury, A Ray, SK Dana, D Ghosh - Physics Reports, 2022 - Elsevier
Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its' applications in image encryption

X Liu, X Tong, Z Wang, M Zhang - Chaos, Solitons & Fractals, 2022 - Elsevier
In view of the problem that dissipative chaos has attractors and is easy to be attacked by
reconstruction, which leads to the security defects of encryption algorithm based on …

A novel image encryption scheme based on conservative hyperchaotic system and closed-loop diffusion between blocks

M Zhou, C Wang - Signal Processing, 2020 - Elsevier
Dissipative chaotic systems have been widely used in digital image encryption schemes in
the past 20 years. However, compared to conservative chaotic systems, the dissipative …

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) …

[HTML][HTML] A new class of Hamiltonian conservative chaotic systems with multistability and design of pseudo-random number generator

E Dong, M Yuan, S Du, Z Chen - Applied Mathematical Modelling, 2019 - Elsevier
Compared to dissipative chaotic system, conservative chaotic systems have some attractive
features valuable for engineering applications, such as security communication. This paper …

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 …

[HTML][HTML] Design and FPGA implementation of a hyperchaotic conservative circuit with initial offset-boosting and transient transition behavior based on memcapacitor

X Zhang, J Xu, AJ Moshayedi - Chaos, Solitons & Fractals, 2024 - Elsevier
A charge-controlled memcapacitive conservative chaotic circuit with trigonometric function
terms is constructed in this paper. By analyzing the characteristics of the infinite equilibrium …

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 …

Infinitely many coexisting conservative flows in a 4D conservative system inspired by LC circuit

N Wang, G Zhang, H Bao - Nonlinear Dynamics, 2020 - Springer
Conservative chaotic flows, a category of incompressible chaos, are usually generated from
dynamical systems without dissipation. The existing results on conservative chaos are …

A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits

Z Zhang, L Huang - Nonlinear Dynamics, 2022 - Springer
Based on Euler equation and energy analysis, a new five-dimensional (5D) hyperchaotic
system is proposed in this paper. The new system is a conservative system which conforms …