A new 4-D chaotic hyperjerk system, its synchronization, circuit design and applications in RNG, image encryption and chaos-based steganography

S Vaidyanathan, A Akgul, S Kaçar… - The European Physical …, 2018 - Springer
Hyperjerk systems have received significant interest in the literature because of their simple
structure and complex dynamical properties. This work presents a new chaotic hyperjerk …

[PDF][PDF] Analysis, adaptive control and synchronization of a novel 4-D hyperchaotic hyperjerk system and its SPICE implementation

S Vaidyanathan, C Volos, VT Pham… - Archives of Control …, 2015 - bibliotekanauki.pl
A hyperjerk system is a dynamical system, which is modelled by an nth order ordinary
differential equation with n 4 describing the time evolution of a single scalar variable …

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 …

Dynamical analysis of a novel autonomous 4-D hyperjerk circuit with hyperbolic sine nonlinearity: chaos, antimonotonicity and a plethora of coexisting attractors

GD Leutcho, J Kengne, LK Kengne - Chaos, Solitons & Fractals, 2018 - Elsevier
In this paper, a novel fourth-order autonomous hyperjerk circuit is proposed and the
corresponding dynamics is systematically analyzed. Two anti-parallel semiconductor diodes …

Uncertain destination dynamics of a novel memristive 4D autonomous system

ZT Njitacke, J Kengne, RW Tapche, FB Pelap - Chaos, Solitons & Fractals, 2018 - Elsevier
This paper studies the dynamics of a novel memristive 4D autonomous system obtained by
replacing the memristive diode bridge in the original circuit of [Chaos, Solitons and Fractals …

Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors

X Wang, S Vaidyanathan, C Volos, VT Pham… - Nonlinear …, 2017 - Springer
Although different hyperjerk systems have been discovered, a few hyperjerk systems can
exhibit hyperchaotic behavior. In this work, we introduce a new hyperjerk system with …

Hyperchaotic attractor in a novel hyperjerk system with two nonlinearities

P Daltzis, S Vaidyanathan, VT Pham, C Volos… - Circuits, Systems, and …, 2018 - Springer
Hyperjerk systems have received considerable interest in the literature because of their
simplicity and complex dynamical properties. In this work, we introduce a novel hyperjerk …

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 …

Reversals of period doubling, coexisting multiple attractors, and offset boosting in a novel memristive diode bridge-based hyperjerk circuit

J Kengne, GD Leutcho, ANK Telem - Analog Integrated Circuits and Signal …, 2019 - Springer
In this paper, a new memristive diode bridge-based RC hyperjerk circuit is proposed. This
new memristive hyperjerk oscillator (MHO) is obtained from the autonomous 4-D hyperjerk …

A new four-dimensional hyperjerk system with stable equilibrium point, circuit implementation, and its synchronization by using an adaptive integrator backstepping …

JP Singh, VT Pham, T Hayat, S Jafari… - Chinese …, 2018 - iopscience.iop.org
This paper reports a new simple four-dimensional (4D) hyperjerk chaotic system. The
proposed system has only one stable equilibrium point. Hence, its strange attractor belongs …