Lower-dimensional simple chaotic systems with spectacular features
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …
more desirable for practical considerations. Not only can such systems preserve basic …
Multi-scroll chaotic attractors with multi-wing via oscillatory potential wells
G Cheng, D Li, Y Yao, R Gui - Chaos, Solitons & Fractals, 2023 - Elsevier
The oscillatory potential well can cause the mass points in it to move chaotically, which can
be considered as a physical mechanism of chaos generation. Based on this physical …
be considered as a physical mechanism of chaos generation. Based on this physical …
Design and implementation of grid-wing hidden chaotic attractors with only stable equilibria
Y Yang, L Huang, NV Kuznetsov… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Due to complex chaotic characteristics and multistable states, the generation of multi-wing
hidden chaotic attractors shows a new application prospect in chaos-based security …
hidden chaotic attractors shows a new application prospect in chaos-based security …
A new 4-D multi-stable hyperchaotic system with no balance point: Bifurcation analysis, circuit simulation, FPGA realization and image cryptosystem
In this work, we describe the model of a new 4-D hyperchaotic system with no balance point
and deduce that the new hyperchaotic system has a hidden attractor. We present a detailed …
and deduce that the new hyperchaotic system has a hidden attractor. We present a detailed …
Multi-scroll fractional-order chaotic system and finite-time synchronization
S Yan, Q Wang, E Wang, X Sun, Z Song - Physica Scripta, 2022 - iopscience.iop.org
The definition of fractional calculus is introduced into the 5D chaotic system, and the 5D
fractional-order chaotic system is obtained. The new 5D fractional-order chaotic system has …
fractional-order chaotic system is obtained. The new 5D fractional-order chaotic system has …
Dynamics, periodic orbit analysis, and circuit implementation of a new chaotic system with hidden attractor
C Dong - Fractal and Fractional, 2022 - mdpi.com
Hidden attractors are associated with multistability phenomena, which have considerable
application prospects in engineering. By modifying a simple three-dimensional continuous …
application prospects in engineering. By modifying a simple three-dimensional continuous …
Dynamic analysis and geometric control of a novel parametrically controllable multi-scroll conservative chaotic system
C Fan, Q Ding - Nonlinear Dynamics, 2024 - Springer
This paper presents a novel parametrically controllable multi-scroll conservative chaotic
system with a concise mathematical model and rich dynamic properties. The number of …
system with a concise mathematical model and rich dynamic properties. The number of …
Dynamical analysis of a new chaotic system: hidden attractor, coexisting-attractors, offset boosting, and DSP realization
J Wen, Y Feng, X Tao, Y Cao - Ieee Access, 2021 - ieeexplore.ieee.org
In this paper, a new 5-D chaotic system with hidden attractor was presented. The stability
and equilibrium points set of the system were analyzed by the traditional dynamical analysis …
and equilibrium points set of the system were analyzed by the traditional dynamical analysis …
Minimal underactuated synchronization with applications to secure communication
KHM Gularte, JCG Gómez, H dos Santos Rabelo… - … in Nonlinear Science …, 2023 - Elsevier
This work deals with the synchronization of a class of underactuated hyperchaotic systems.
The proposed method is based on Lyapunov theory, and it assumes a small initial …
The proposed method is based on Lyapunov theory, and it assumes a small initial …
Scroll-growing/controlling chaotic attractors in cyclic Hopfield neural networks via memristive bridging
In this paper, a memristor-based neural network is proposed, which is implemented by two
tri-neuron resistive-cyclic Hopfield neural networks (RC-HNNs) via memristive bridging. The …
tri-neuron resistive-cyclic Hopfield neural networks (RC-HNNs) via memristive bridging. The …