Lower-dimensional simple chaotic systems with spectacular features

Z Wang, A Ahmadi, H Tian, S Jafari, G Chen - Chaos, Solitons & Fractals, 2023 - Elsevier
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …

Hidden attractors in a chaotic system with an exponential nonlinear term

VT Pham, S Vaidyanathan, CK Volos… - The European Physical …, 2015 - Springer
Studying systems with hidden attractors is new attractive research direction because of its
practical and threoretical importance. A novel system with an exponential nonlinear term …

Analysis and adaptive control of a novel 3-D conservative no-equilibrium chaotic system

S Vaidyanathan, C Volos - Archives of Control Sciences, 2015 - infona.pl
First, this paper announces a seven-term novel 3-D conservative chaotic system with four
quadratic nonlinearities. The conservative chaotic systems are characterized by the …

[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 …

[PDF][PDF] A Memristor-Based Hyperchaotic System with Hidden Attractors: Dynamics, Synchronization and Circuital Emulating.

VT Pham, CK Volos, S Vaidyanathan, TP Le… - Journal of Engineering …, 2015 - jestr.org
Memristor-based systems and their potential applications, in which memristor is both a
nonlinear element and a memory element, have been received significant attention recently …

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 …

[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 …

Hyperchaos, adaptive control and synchronization of a novel 5-D hyperchaotic system with three positive Lyapunov exponents and its SPICE implementation

S Vaidyanathan, C Volos, VT Pham - Archives of Control …, 2014 - yadda.icm.edu.pl
In this research work, a twelve-term novel 5-D hyperchaotic Lorenz system with three
quadratic nonlinearities has been derived by adding a feedback control to a ten-term 4-D …

Ultra-chaos of a mobile robot: A higher disorder than normal-chaos

Y Yang, S Qin, S Liao - Chaos, Solitons & Fractals, 2023 - Elsevier
The trajectory of a chaotic dynamical system is sensitive to the initial condition, while its
statistics normally do not have sensitive dependence on small disturbances. Such a kind of …

A no-equilibrium hyperchaotic system with a cubic nonlinear term

VT Pham, S Vaidyanathan, C Volos, S Jafari, ST Kingni - Optik, 2016 - Elsevier
Discovering dynamical systems with hidden attractors has become an attractive topic
recently. A novel four-dimensional continuous-time autonomous system with a cubic …