Extreme events in dynamical systems and random walkers: A review
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 …
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 …
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 …
the past 20 years. However, compared to conservative chaotic systems, the dissipative …
Chaotic flows with special equilibria
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) …
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
Compared to dissipative chaotic system, conservative chaotic systems have some attractive
features valuable for engineering applications, such as security communication. This paper …
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 …
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 …
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
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 …
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
Conservative chaotic flows, a category of incompressible chaos, are usually generated from
dynamical systems without dissipation. The existing results on conservative chaos are …
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 …
system is proposed in this paper. The new system is a conservative system which conforms …