Multi-scroll in bidirectional coupling schemes of two second-order non-oscillatory systems: theoretical analysis and PSpice implementation

HD Mekak-egong, LK Kemgang… - International Journal of …, 2024 - Springer
In this study, we provide a way to generate multi-scroll dynamics between two second-order
non-oscillatory systems just through a bidirectional coupling between the subsystems …

Multiscroll in bidirectionally coupled jerk oscillators: theoretical analysis and PSpice verification

HD Mekak-Egong, B Ramakrishnan… - … Journal of Bifurcation …, 2022 - World Scientific
It is known that the unidirectional coupling between a double-scroll system (drive) in the
oscillation regime with another system (response) in the steady-state, gives rise to more …

A novel image encryption scheme combining a dynamic S-Box generator and a new chaotic oscillator with hidden behavior

GA Gakam Tegue, JDD Nkapkop, MA Abdel… - Arabian Journal for …, 2023 - Springer
This work investigates a new image encryption scheme combining a dynamic elliptic curve-
based S-box generator and pseudorandom sequences generated by a new 4D chaotic …

Hyperchaotic multiscroll dynamics, complex behavior in a simple homogeneous dynamical network of jerk oscillators: bidirectional coupling scheme method …

B Ramakrishnan, HD Mekak-Egong… - … Physical Journal Plus, 2023 - epjplus.epj.org
Network dynamics is the subject of a great deal of scientific research these days. Its scope is
not only restricted to the study of the collective dynamic behavior of the internal subunits of a …

Chaotic Grid-Scroll Attractors and Multistability in a Pair of Mutually Coupled Third-Order Systems

HD Mekak-Egong, J Ramadoss, J Kengne… - … Journal of Bifurcation …, 2024 - World Scientific
This research delves into simple Jerk-type dynamical networks, constructed using a specific
bidirectional coupling scheme that influences the sub-oscillators and compound nonlinearity …

Approximate symmetry memristive mega-stable oscillator with attractor growing and its Hamilton energy balance

B Ramakrishnan, H Natiq, K Rajagopal, S Jafari… - The European Physical …, 2022 - Springer
A unique mega-stable oscillator with a memristor device is constructed, with the special
properties of parity invariant, approximate symmetry, and attractor growing. The introduced …

Jagged-shape chaotic attractors of a megastable oscillator with spatially square-wave damping

M Karami, R Ramamoorthy, AMA Ali… - The European Physical …, 2022 - Springer
Here, a 2D megastable oscillator with a square-wave function is proposed. The oscillator
shows an infinite number of coexisting jagged-shape limit cycles. It has an unstable …

A chaotic quadratic oscillator with only squared terms: Multistability, impulsive control, and circuit design

D Veeman, A Alanezi, H Natiq, S Jafari, AA Abd El-Latif - Symmetry, 2022 - mdpi.com
Here, a chaotic quadratic oscillator with only squared terms is proposed, which shows
various dynamics. The oscillator has eight equilibrium points, and none of them is stable …

Electronic simulation and microcontroller real implementation of an autonomous chaotic and hyperchaotic system made of a Colpitts-Josephson junction like circuit

YJ Monkam, ST Kingni, R Tchitnga, P Woafo - Analog Integrated Circuits …, 2022 - Springer
Most of the simple Josephson junction (JJ) based circuits with chaotic behavior found in the
literature are nonautonomous. Hyperchaotic JJ-based circuits are often either driven by an …

Circuit realization and application of a chaotic system with hidden attractor, controlled spike discharge and offset boosting

J Zhang, J Hou, Q Xie, Y Guo - Nonlinear Dynamics, 2024 - Springer
This paper presents a novel four-dimensional chaotic system that is unique in that it exhibits
a variety of striking nonlinear dynamical phenomena despite the absence of equilibrium …