Thanjavur, India
Thanjavur, India

The Tamil University, Thanjavur, in Tamil Nadu, India, was established to provide higher research in the Tamil language and advanced study in allied branches such as linguistics, translation, lexicography, music, drama and manuscriptology. M.Phil and Ph.D programmes were introduced in 1992 for disciplines such as Language, Literature, Translation, and Sculpture.The university has six science departments namely Industries and Earth science, Computer Science, Environmental and Herbal Science, Siddha Medicine, Ancient science and Architecture.The Ocean and Atmospheric science and Technology Cell, an autonomous body supported by the Ministry of Earth science, New Delhi is under the Department of Industries and Earth science. Wikipedia.


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Vaidyanathan S.,Tamil University
International Journal of ChemTech Research | Year: 2015

Chaos theory has a manifold variety of applications in science and engineering. The frequent and irregular reversals of the earth’s magnetic field has motivated a number of research studies involving electrical currents within the earth’s molten core. One of the first such nonlinear models that exhibited the frequent and irregular reversals of the earth’s magnetic field was Rikitake’s two-disk dynamo system (1958). Rikitake two-disk dynamo system is a chaotic system that predated the pioneering work of Lorenz (1963). In this paper, we describe the dynamic equations and qualitative properties of the Rikitae two-disk dynamo chaotic system. We also derive new results for the adaptive control of the Rikitake two-disk dynamo chaotic system. MATLAB plots have been depicted to illustrate the phase portraits of the Rikitake two-disk dynamo chaotic attractor and the global chaos control of the Rikitake two-disk dynamo chaotic systems via adaptive control method. © 2015, Sphinx Knowledge House. All rights reserved.


Vaidyanathan S.,Tamil University
International Journal of ChemTech Research | Year: 2015

Chaos theory has a manifold variety of applications in science and engineering. The frequent and irregular reversals of the earth’s magnetic field has motivated a number of research studies involving electrical currents within the earth’s molten core. One of the first such nonlinear models that exhibited the frequent and irregular reversals of the earth’s magnetic field was Rikitake’s two-disk dynamo system (1958). Rikitake two-disk dynamo system is a chaotic system that predated the pioneering work of Lorenz (1963). In this paper, we describe the dynamic equations and qualitative properties of the Rikitae two-disk dynamo chaotic system. We also derive new results for the global chaos synchronization of the Rikitake two-disk dynamo chaotic systems. MATLAB plots have been depicted to illustrate the phase portraits of the Rikitake two-disk dynamo chaotic attractor and the global chaos synchronization of the Rikitake two-disk dynamo chaotic systems via adaptive control method. © 2015, Sphinx Knowledge House. All rights reserved.


Vaidyanathan S.,Tamil University
International Journal of ChemTech Research | Year: 2015

One of the most developed of the modern magnetic fusion concepts is the Tokamak. In respect of their symmetry properties, toroidal magnetically confined plasmas have much in common with the Taylor-Couette flow. This research work discusses the dynamics and properties of the Tokamak system with symmetric and magnetically confined plasma studied by Arter (2009). Then this work discusses the global chaos synchronization of the Tokamak chaotic systems with unknown system parameters via adaptive control method. The main control result is established using Lyapunov stability theory. MATLAB plots have been shown to illustrate all the main results discussed on the Tokamak chaotic system with symmetric and magnetically confined plasma. © 2015, Sphinx Knowledge House. All rights reserved.


Vaidyanathan S.,Tamil University
International Journal of ChemTech Research | Year: 2015

In the 1970s, nonlinear oscillations and bifurcations were discovered first by modelling and then by experiments for the autocatalytic Brusselators and the Belousov-Zhabotinsky (BZ) chemical reaction. The autocatalytic chemical reaction phenomenon plays a vital role for the breakdown of the stability of the thermodynamical branch. This research work investigates the dynamics and qualitative properties of the autocatalytic Brusselator chemical reaction. Then this work discusses the adaptive control of the Brusselator chemical reaction so as to regulate its states to desired steady-state values. The main result is established using Lyapunov stability theory. MATLAB plots have been shown to illustrate all the main results discussed in this research work. © 2015, Sphinx Knowledge House. All rights reserved.


Vaidyanathan S.,Tamil University
International Journal of ChemTech Research | Year: 2015

In the recent decades, there is great interest shown in the literature in the finding of chaotic motion and oscillations in nonlinear dynamical systems arising in physics, chemistry, biology, and engineering. Chaotic systems have many important applications in science and engineering. This paper discusses the Rucklidge chaotic system (1992) for nonlinear double convection. When the convection takes place in a fluid layer rotating uniformly about a vertical axis and in the limit of tall thin rolls, convection in an imposed vertical magnetic field and convection in a rotating fluid layer are both modeled by Rucklidge’s third-order set of ordinary differential equations which produces chaotic solutions. This paper starts with a detailed analysis of the Rucklidge’s nonlinear double convection system and the parameter values for which the Rucklidge system exhibits chaotic behaviour. Next, a sliding mode control law is devised for the global chaos synchronization of the Rucklidge chaotic systems. The main results for the chaos synchronization of Rucklidge chaotic systems are established using Lyapunov stability theory. Next, the sliding mode control results are illustrated with numerical simulations using MATLAB. © 2015, Sphinx Knowledge House. All rights reserved.


Vaidyanathan S.,Tamil University
International Journal of ChemTech Research | Year: 2015

In the 1970s, nonlinear oscillations and bifurcations were discovered first by modelling and then by experiments for the autocatalytic Brusselators and the Belousov-Zhabotinsky (BZ) chemical reaction. The autocatalytic chemical reaction phenomenon plays a vital role for the breakdown of the stability of the thermodynamical branch. This research work investigates the dynamics and qualitative properties of the autocatalytic Brusselator chemical reaction. Then this work discusses the adaptive anti-synchronization of the identical Brusselator chemical reaction systems. The main chemical antisynchronization result is established using Lyapunov stability theory. MATLAB plots have been shown to illustrate all the main results discussed in this research work. © 2015, Sphinx Knowledge House. All rights reserved.


Vaidyanathan S.,Tamil University
International Journal of ChemTech Research | Year: 2015

Chaos theory has a manifold variety of applications in science and engineering. This paper details the qualitative properties of a chemical chaotic attractor discovered by Huang (2005). This paper gives a summary description of the chemical reactor dynamics and the chaos dynamic analysis. Next, new results are obtained for the global chaos synchronization of identical chemical chaotic reactors using a novel sliding mode control method. MATLAB plots have been shown to illustrate the phase portraits of the chemical chaotic attractor and the global chaos synchronization of identical chemical chaotic attractors. © 2015, Sphinx Knowledge House. All rights Reserved.


Vaidyanathan S.,Tamil University
International Journal of ChemTech Research | Year: 2015

In the recent decades, there is great interest shown in the literature in the finding of chaotic motion and oscillations in nonlinear dynamical systems arising in physics, chemistry, biology, and engineering. Chaotic systems have many important applications in science and engineering. This paper discusses the Rucklidge chaotic system (1992) for nonlinear double convection. When the convection takes place in a fluid layer rotating uniformly about a vertical axis and in the limit of tall thin rolls, convection in an imposed vertical magnetic field and convection in a rotating fluid layer are both modeled by Rucklidge’s third-order set of ordinary differential equations which produces chaotic solutions. This paper starts with a detailed description of the Rucklidge’s nonlinear double convection system and the parameter values for which the Rucklidge system exhibits chaotic behaviour. Next, a sliding mode control law is devised for the global chaos control of the Rucklidge chaotic system with unknown parameters. The main results for sliding mode control of the Rucklidge system are established using Lyapunov stability theory. Next, the sliding mode control results are illustrated with numerical simulations using MATLAB. © 2015, Sphinx Knowledge House. All rights reserved.


Vaidyanathan S.,Tamil University
International Journal of ChemTech Research | Year: 2015

One of the most developed of the modern magnetic fusion concepts is the Tokamak. In respect of their symmetry properties, toroidal magnetically confined plasmas have much in common with the Taylor-Couette flow. This research work analyzes the dynamics of the Tokamak system with symmetric and magnetically confined plasma studied by Arter (2009). Then this work discusses the adaptive control of the Tokamak chaotic system with unknown system parameters. The main result is established using Lyapunov stability theory. MATLAB plots have been shown to illustrate all the main results discussed on the Tokamak chaotic system with symmetric and magnetically confined plasma. © 2015, Sphinx Knowledge House. All rights reserved.


Vaidyanathan S.,Tamil University
European Physical Journal: Special Topics | Year: 2014

This paper proposes a eight-term 3-D polynomial chaotic system with three quadratic nonlinearities and describes its properties. The maximal Lyapunov exponent (MLE) of the proposed 3-D chaotic system is obtained as L 1 = 6.5294. Next, new results are derived for the global chaos synchronization of the identical eight-term 3-D chaotic systems with unknown system parameters using adaptive control. Lyapunov stability theory has been applied for establishing the adaptive synchronization results. Numerical simulations are shown using MATLAB to describe the main results derived in this paper. © 2014 EDP Sciences and Springer.

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