A new multi-scroll Chua's circuit with composite hyperbolic tangent-cubic nonlinearity: Complex dynamics, Hardware implementation and Image encryption …

F Yu, H Shen, Z Zhang, Y Huang, S Cai, S Du - Integration, 2021 - Elsevier
In this paper, a new method for generating multi-scroll chaotic attractors via constructing a
compound hyperbolic tangent-cubic nonlinear function in canonical Chua's circuit is …

Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four‐Wing Memristive System, Active Control Synchronization, and Secure Communication Application

F Yu, L Liu, B He, Y Huang, C Shi, S Cai, Y Song… - …, 2019 - Wiley Online Library
By introducing a flux‐controlled memristor with quadratic nonlinearity into a 4D hyperchaotic
system as a feedback term, a novel 5D hyperchaotic four‐wing memristive system (HFWMS) …

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 …

A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors

GD Leutcho, J Kengne - Chaos, Solitons & Fractals, 2018 - Elsevier
This work proposes and systematically investigates the dynamics of a novel snap system
with a single parameterized nonlinearity in the form φ k (z)= 0.5 (exp (kz)− exp (− z)). The …

[HTML][HTML] A new chaotic system with multiple attractors: Dynamic analysis, circuit realization and S-Box design

Q Lai, A Akgul, C Li, G Xu, Ü Çavuşoğlu - Entropy, 2017 - mdpi.com
This paper reports about a novel three-dimensional chaotic system with three nonlinearities.
The system has one stable equilibrium, two stable equilibria and one saddle node, two …

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 …

A simple three-dimensional fractional-order chaotic system without equilibrium: Dynamics, circuitry implementation, chaos control and synchronization

VT Pham, ST Kingni, C Volos, S Jafari… - … -international Journal of …, 2017 - Elsevier
Chaotic systems without equilibrium points have been investigated and received significant
attention recently. In this work, we propose a new three-dimensional fractional-order chaotic …

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 …

Calculation of Hamilton energy and control of dynamical systems with different types of attractors

J Ma, F Wu, W Jin, P Zhou, T Hayat - Chaos: An Interdisciplinary …, 2017 - pubs.aip.org
Strange attractors can be observed in chaotic and hyperchaotic systems. Most of the
dynamical systems hold a finite number of attractors, while some chaotic systems can be …

Arduino-based chaotic secure communication system using multi-directional multi-scroll chaotic oscillators

AD Pano-Azucena, J de Jesus Rangel-Magdaleno… - Nonlinear …, 2017 - Springer
The experimental realization of a chaotic secure communication system is introduced herein
taking advantage of Arduino's open source integrated development environment along with …