Department

Areas of Current Research Interest : 
1) Study of Chaotic Behavior in Nonlinear Systems
2) Nonlinear Time Series Analysis of Astrophysical Data
3) Stochastic Resonance and Noise Induced Resonance Phenomena
4) Chaos in Small World Systems & Networks 

Contributions to Teaching:
1) An electronics Practical Text book was prepared for the B. Sc students and a Practical Guide in General Physics Experiments for M. Sc. Students of Mahatma Gandhi University. 
2) Resource Person for Seminars and Workshops conducted by various Colleges under Mahatma Gandhi University. 
3) Resource Person for the UGC/ CSIR Net Coaching classes organized by Maharajas College, Ernakulam, under the scheme of Cluster of Colleges in Mahatma Gandhi University, since 2009. 
4) Question Paper Setter for M. Sc Photonics Course of Cochin University of Sci. & Technology, since 2005. 

Books Published:
1) Co-Author of the Book "Methodology of Physics" prescribed for study for the B.Sc. students of the MG University. 

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1) K. P. Harikrishnan, R. Misra and G. Ambika, Search for Deterministic Nonlinearity in the Light Curves of the Black Hole System GRS 1915 + 105, Chaotic Modeling and Simulation, Vol. 3, (2012), p.477 

2) K. P. Harikrishnan, R. Misra and G. Ambika, Revisiting the box counting algorithm for the correlation dimension analysis of hyperchaotic time series, Commun. Nonlinear Sci. and Numerical Simulations, Vol. 17, (2012), p. 263 

3) K. P. Harikrishnan, R. Misra and G. Ambika, Nonlinear Time Series Analysis of the Light Curves from the Black Hole System GRS 1915+105, Research in Astron. & Astrophys., Vol. 11, (2011), p.71 

4) K. P. Harikrishnan, R. Misra, G. Ambika and R. E. Amritkar, Computing the multifractal spectrum from time series: An algorithmic approach, CHAOS, Vol. 19, (2010)143129 

5) K. P. Harikrishnan, R. Misra, G. Ambika and R. E. Amritkar, Parametric characterization of a chaotic attractor using the two scale Cantor measure, Physica D, Vol. 239, (2010) p. 420 

6) K. P. Harikrishnan, R. Misra and G. Ambika, Combined use of correlation dimension and entropy as discriminating measures for time series analysis, Comm. in Nonlinear Sci. and Numerical Simulations, Vol.14 (2009) p. 3608 

7) K. P. Harikrishnan, R. Misra and G. Ambika, Efficient use of correlation entropy for analyzing time series data, Pramana J. Phys., Vol.72 (2009) p. 325 

8) K. P. Harikrishnan and G. Ambika, Resonance Phenomena in discrete systems with bichromatic input signal : European Phys. Journal B, Vol.61 (2008) p.343. 

9) K. P. Harikrishnan, G. Ambika and R. Misra, An algorithmic computation of correlation dimension from time series, Modern Phys. Letters B, Vol. 21 (2007) p. 129 

10) K. P. Harikrishnan, R. Misra, G. Ambika and A. K. Kembhavi, A non-subjective approach to the GP algorithm for analyzing noisy time series : Physica D, Vol. 215 (2006) p. 137 

11) R. Misra, K. P. Harikrishnan, G. Ambika and A. K. Kembhavi, The nonlinear behavior of the Black Hole system GRS1915+105 : The Astrophysical Journal, Vol. 643 (2006) p. 1114 

12) G. Ambika, Kamala Menon and K. P. Harikrishnan, Noise induced resonance phenomena in coupled map lattices : European Phys. Journal B, Vol.49 (2006) p. 225 

13) G. Ambika, Kamala Menon and K. P. Harikrishnan, Lattice Stochastic Resonance in coupled map lattice : Europhys. Letters, Vol. 73 (2006) p. 506 

14) G. Ambika, Kamala Menon and K. P. Harikrishnan, Aspects of Stochastic Resonance in Josephson junction, bimodal maps and coupled map lattice : Pramana  J. Phys. Vol.64 (2005) p.535 

15) K. P. Harikrishnan and G. Ambika, Stochastic Resonance in a model for Josephson junction :Physica Scripta Vol.71 (2005) p.148 

16) R. Misra, K. P. Harikrishnan, G. Ambika and A. K. Kembhavi, Chaotic Behaviour of the Blackhole System GRS 1915 + 105: Astrophysical Journal Vol.609 (2004) p.313 

17) G. Ambika, N. V. Sujatha and K. P. Harikrishnan, Stochastic Resonance and Chaotic Resonance in Bimodal Maps: A case study : Pramana Journal of Physics Vol. 59 (2002) pg.539. 

18) Presented a paper in the 5 International Conference (CMSIM 2012) held in Athens, Greece, June 12 - 15, 2012. 

19) Presented a paper in the Seventh National Conference on Nonlinear Systems & Dynamics, at Indian Institute of Science Education and Research (IISER), Pune, from July 12 - 15, 2012. 

20) Presented a paper in the 4 International Conference (CMSIM 2011) held in Agios Nikolaos, Greece, May 31 - June 3, 2011. 

21) Presented a paper in the Sixth National Conference on Nonlinear Systems & Dynamics, School of Physics, Bharathidasan University, Thiruchirappally, from Jan 27 -30, 2011. 

22) Presented a paper in the International Conference on Recent Deveopments in Nonlinear Dynamics, School of Physics, Bharathidasan University, Thiruchirappally, from Feb. 13 - 16, 2008. 

23) Presented a paper in the Fourth National Conference on Nonlinear Systems and Dynamics, Physical Research Laboratory, Ahmedabad, from Jan. 3 - 5, 2008. 

24) Presented a paper in the Third National Conference on Nonlinear Systems and Dynamics, RIASM, University of Madras, from Feb.6- 8, 2006. 

25) Presented a paper in the Second National Conference on Nonlinear Systems and Dynamics, Aligarh Muslim Univ., from Feb.21-23, 2005. 

26) Presented a paper in the First National Conference on Nonlinear Systems and Dynamics, I I T Kharagpur, from Dec.26-28, 2003. 

27) Presented a paper in the VIII Ramanujan Symposium on recent developments in Nonlinear Systems, Feb. 14-16,2001 at the Ramanujan Institute for Advanced Study in Mathematics, University of Madras 

28) Meeting on Chaos, Complexity and Information from Feb 1- 7,1997 at Dhvanyaloka, Mysore 

29) Presented a paper at the Inter national Conference on Mathematical Modelling in Science and Technology held at I.I.T Madras (Aug 11- AUG 14,1988)

1) Study and characterization of complex networks based on nonlinear time series analysis tools, sponsored by Department of Science and Technology (DST), Govt. of India. (Ongoing) 

2) Studies on the multifractal properties of astrophysical time series data as Principal Investigator, sponsored by Department of Science and Technology (DST), Govt. of India. 

3) Stochastic resonance studies on pendulum systems and maps as Co-Investigator, sponsored by the Department of Science and Technology (DST), Govt. of India.