A simple Jerk-like system without equilibrium: Asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees

S Zhang, Y Zeng - Chaos, Solitons & Fractals, 2019 - Elsevier
The topic associated with hidden attractor and multistability has been received considerable
attention recently. In this paper, a novel no-equilibrium Jerk-like chaotic system is …

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 …

A 5-D hyperchaotic Rikitake dynamo system with hidden attractors

S Vaidyanathan, VT Pham, CK Volos - The European Physical Journal …, 2015 - Springer
This paper presents a 5-D hyperchaotic Rikitake dynamo system with three positive
Lyapunov exponents which is derived by adding two state feedback controls to the famous 3 …

Takagi-Sugeno fuzzy logic controller for Liu-Chen four-scroll chaotic system

S Vaidyanathan, AT Azar - International Journal of …, 2016 - inderscienceonline.com
Chaos modelling, chaos control and chaos synchronisation are active areas in chaos theory,
while research in these areas has potential applications in many fields like nonlinear optics …

[PDF][PDF] Adaptive synchronization of novel 3-D chemical chaotic reactor systems

S Vaidyanathan - parameters, 2015 - researchgate.net
Chaos theory has a manifold variety of applications in science and engineering. In this
paper, new chemical chaotic reactor equations are derived by modifying the chemical …

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 …

[PDF][PDF] Adaptive biological control of generalized Lotka-Volterra three-species biological system

S Vaidyanathan - International Journal of PharmTech Research, 2015 - researchgate.net
Recent research has shown the importance of biological control in many biological systems
appearing in nature. This paper investigates research in the dynamic and chaotic analysis of …

[PDF][PDF] Adaptive control of the FitzHugh-Nagumo chaotic neuron model

S Vaidyanathan - International Journal of PharmTech Research, 2015 - researchgate.net
Chaos is an important applied area in nonlinear dynamical systems and it is applicable to
many real-world systems including the biological systems. Nerve membranes are known to …

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 …

[PDF][PDF] Global chaos synchronization of the forced Van der Pol chaotic oscillators via adaptive control method

S Vaidyanathan - International Journal of PharmTech Research, 2015 - researchgate.net
Chaos theory has a lot of applications in science and engineering. This paper first details the
qualitative properties of the forced Van der Pol chaotic oscillator, which has important …