What is the most suitable Lyapunov function?

P Zhou, X Hu, Z Zhu, J Ma - Chaos, Solitons & Fractals, 2021 - Elsevier
Lyapunov function provides feasible estimation and prediction of nonlinear system stability,
and useful guidance for adaptive control in chaos and synchronization approach. In case of …

Dynamics, circuit design, feedback control of a new hyperchaotic system and its application in audio encryption

SM Fu, XF Cheng, J Liu - Scientific Reports, 2023 - nature.com
In this study, a 4D hyperchaotic system is constructed based on the foundation of a 3D Lü
chaotic system. The newly devised hyperchaotic system possesses a sole equilibrium point …

Secure image encryption scheme using 4D-Hyperchaotic systems based reconfigurable pseudo-random number generator and S-Box

MD Gupta, RK Chauhan - Integration, 2021 - Elsevier
This paper introduces the design of a hardware efficient reconfigurable pseudorandom
number generator (PRNG) using two different feedback controllers based four-dimensional …

A new 4-D hyper chaotic system generated from the 3-D Rösslor chaotic system, dynamical analysis, chaos stabilization via an optimized linear feedback control, it's …

G Laarem - Chaos, Solitons & Fractals, 2021 - Elsevier
This research article reports the finding of a new twelve term hyper-chaotic system with three
nonlinearities in a fourth dimensional order, obtained by adding a nonlinear state feedback …

A chaotic memcapacitor oscillator with two unstable equilibriums and its fractional form with engineering applications

K Rajagopal, A Akgul, S Jafari, B Aricioglu - Nonlinear Dynamics, 2018 - Springer
A novel charge-controlled memcapacitor 3D chaotic oscillator with two unstable equilibriums
is proposed. Various dynamic properties of the proposed system are derived and …

Hyperchaotic memcapacitor oscillator with infinite equilibria and coexisting attractors

K Rajagopal, S Jafari, A Karthikeyan… - Circuits, Systems, and …, 2018 - Springer
A newly introduced charge-controlled memcapacitor-based hyperchaotic oscillator with
coexisting chaotic attractors is investigated. Dynamic analysis of the oscillator shows that it …

Dynamical analysis and FPGA implementation of a chaotic oscillator with fractional-order memristor components

K Rajagopal, A Karthikeyan, A Srinivasan - Nonlinear Dynamics, 2018 - Springer
Memristor-based chaotic and hyperchaotic systems are of great interest in the recent years,
and addition of meminductor and memcapacitors to the family has widened the applications …

Multistability and coexisting attractors in a new circulant chaotic system

K Rajagopal, A Akgul, VT Pham, FE Alsaadi… - … Journal of Bifurcation …, 2019 - World Scientific
In this paper, a new four-dimensional chaotic flow is proposed. The system has a cyclic
symmetry in its structure and shows a complicated, chaotic attractor. The dynamical …

Image encryption with a Josephson junction model embedded in FPGA

B Ramakrishnan, PY Nkandeu Kamdeu… - Multimedia Tools and …, 2022 - Springer
The dynamical analysis, field programmable gate array (FPGA) implementation and image
encryption of a linear piecewiseresistive-capacitive-inductive shunted Josephson junction …

A review on FPGA implementation of fractional-order systems and PID controllers

A Ali, K Bingi, R Ibrahim, PAM Devan… - AEU-International Journal …, 2024 - Elsevier
Fractional-order systems and controls utilize concepts from fractional calculus for modelling,
control designs, and practical applications. However, it can be challenging to transform …