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 …

Dynamic analysis and multistability of a novel four-wing chaotic system with smooth piecewise quadratic nonlinearity

VRF Signing, J Kengne, LK Kana - Chaos, Solitons & Fractals, 2018 - Elsevier
In this contribution, a new four-wing chaotic system with a smooth piecewise quadratic
nonlinearity is introduced. The novel system is inspired from the cubic one introduced by …

Adaptive backstep** control, synchronization and circuit simulation of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities

S Vaidyanathan, C Volos, VT Pham… - Archives of Control …, 2014 - yadda.icm.edu.pl
In this research work, a six-term 3-D novel jerk chaotic system with two hyperbolic sinusoidal
nonlinearities has been proposed, and its qualitative properties have been detailed. The …

Hybrid synchronization of identical chaotic systems using sliding mode control and an application to Vaidyanathan chaotic systems

S Vaidyanathan, AT Azar - Advances and applications in sliding mode …, 2014 - Springer
Hybrid phase synchronization is a new type of synchronization of a pair of chaotic systems
called the master and slave systems. In hybrid phase synchronization, the odd numbered …

[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 …

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 …

[PDF][PDF] A 3-D Novel Conservative Chaotic System and its Generalized Projective Synchronization via Adaptive Control.

S Vaidyanathan, S Pakiriswamy - Journal of Engineering …, 2015 - pdfs.semanticscholar.org
This research work proposes a five-term 3-D novel conservative chaotic system with a
quadratic nonlinearity and a quartic nonlinearity. The conservative chaotic systems have the …

[PDF][PDF] Analysis, adaptive control and synchronization of a seven-term novel 3-D chaotic system with three quadratic nonlinearities and its digital implementation in …

S Vaidyanathan, K Rajagopal, CK Volos… - Journal of …, 2015 - researchgate.net
This research work proposes a seven-term novel 3-D chaotic system with three quadratic
nonlinearities and analyses the fundamental properties of the system such as dissipativity …

[PDF][PDF] Analysis, adaptive control and adaptive synchronization of a nine-term novel 3-D chaotic system with four quadratic nonlinearities and its circuit simulation

S Vaidyanathan, CK Volos, VT Pham - J Eng Sci Technol Rev, 2015 - jestr.org
This research work describes a nine-term novel 3-D chaotic system with four quadratic
nonlinearities and details its qualitative properties. The phase portraits of the 3-D novel …