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{\bf 
\hspace{1cm}CENTRE FOR NONLINEAR DYNAMICS\\
\hspace{1cm}SCHOOL OF PHYSICS\\
\hspace{1cm}BHARATHIDASAN UNIVERSITY\\
\hspace{1cm}TIRUCHIRAPPALLI - 620 024\\
\hspace{1cm}TAMILNADU, INDIA}
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{\bf
Dr. M. Daniel\\
Professor (Retd.)}
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\underline{\large\bfseries CERTIFICATE}
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\hspace{0.4cm}Certified that the  work reported in this thesis entitled \textquotedblleft{\bfseries \ttitle}\textquotedblright ~ is based on the bonafide work done by ~~~~~~~~~~{\sc \bfseries Mr.~\authorname} 
under my guidance in the Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli - 620 024, during the period 2011-2016 and has not been included in any other thesis submitted previously for the award of any degree.


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\noindent { TIRUCHIRAPPALLI - 620 024 \hfill \sc \bfseries[M. DANIEL]}

\noindent{$\;\;\;\;\;\;\;\;\;\;$ SEPTEMBER 2016\hfill SUPERVISOR}
