Some jerk systems with hidden chaotic dynamics

B Li, B Sang, M Liu, X Hu, X Zhang… - International Journal of …, 2023 - World Scientific
Hidden chaotic attractors is a fascinating subject of study in the field of nonlinear dynamics.
Jerk systems with a stable equilibrium may produce hidden chaotic attractors. This paper …

A novel infinitely coexisting attractor and its application in image encryption

Q Shi, X An, F Yang, L Zhang - Multimedia Tools and Applications, 2024 - Springer
The security performance of image encryption schemes based on chaotic systems has been
greatly improved. Specifically, those chaotic systems with high-dimension or special …

Multistability analysis and nonlinear vibration for generator set in series hybrid electric vehicle through electromechanical coupling

MI Tametang Meli, GD Leutcho… - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
The non-linear analysis of undesired vibrations observed on hybrid electric vehicle (HEV)
powertrains is hardly developed in the literature. In this paper, a mathematical modeling of …

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 …

Synchronization, extreme multistability, and its control for a field coupled neurons with time delays

L Zhang, XL An, L **ong, S Qiao… - International Journal of …, 2022 - World Scientific
Neurons are connected through synapses, but it is not reasonable to equate the connection
mode of synapses to an edge in the network due to synaptic plasticity whereas the magnetic …

Chaos, multistability and coexisting behaviours in small-scale grid: Impact of electromagnetic power, random wind energy, periodic load and additive white Gaussian …

PC Gupta, PP Singh - Pramana, 2022 - Springer
This paper explores nonlinear analysis of a novel small-scale grid (SSG) and studies the
impact of electromagnetic power, random wind power, periodic load and additive white …

Emergence of chaotic hysteresis in a second-order non-autonomous chaotic circuit

G Sivaganesh, K Srinivasan, TF Fozin… - Chaos, Solitons & …, 2023 - Elsevier
The observation of hysteresis in the switching between the attractors of a third-order
autonomous chaotic system namely, the Chua's circuit has been reported recently (Gomes …

Hidden and self-excited collective dynamics of a new multistable hyper-jerk system with unique equilibrium

MD Vijayakumar, H Natiq, GD Leutcho… - … Journal of Bifurcation …, 2022 - World Scientific
Nonlinear dynamical systems with hidden attractors belong to a recent and hot area of
research. Such systems can exist in different forms, such as without equilibrium or with a …

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 …

Coexisting and hidden attractors of memristive chaotic systems with and without equilibria

XC Liu, Q Tu - The European Physical Journal Plus, 2022 - epjplus.epj.org
This work presents two special four-dimensional memristive chaotic systems by combining
an ideal magnetron memristor to a five-term chaotic system. One is no-equilibria system …