Education

• Ph.D. (CUSAT, Cochin)
• M.Phil. (Univ. of Kerala)
• M.Sc. (Univ. of Kerala)

Course Offered

Undergraduate: Mathematics I

Experience

• Worked as JRF and SRF in Regional Research Laboratory (CSIR), Trivandrum -695 019 (1993-1996).
• Worked as a Lecturer (permanent), Dept of Mathematics, St. John’s College (affiliated to University of Kerala), Anchal PO, India (27 Sept. 1996-2000).
• Worked as a Senior Grade Lecturer (permanent), Dept of Mathematics, St. John’s College (affiliated to University of Kerala), Anchal PO, India (2000- 2005 Oct.19).
• Worked as a Selection Grade Lecturer/Reader (permanent), Dept of Mathematics, St. John’s College (affiliated to University of Kerala), Anchal PO, India (2000- 2005 Oct.19).
• Worked as UGC Research awardees, Dept. of Mathematics, Mar Ivanios College, Thiruvananthapuram. (2006 Oct 20 2007 Sept. 4)
• Working as Asst. Professor in Mathematics, IIST, Thiruvananthapuram 695 022, India ( 2007 Sept. 5 till date)

Research Work / Area

Presently working in the area of analysis and modeling of naturally occurring series from Ionospheric and Magnetospheric data. Investigated the chaotic dynamics of the time series of Total Electron Content (TEC), the geomagnetic horizontal Intensity (H) and the RING current index (Dst). The analysis based on the calculation of the invariant characteristics such as Lyapunov exponent, Correlation dimension, etc. and of the surrogate data test established the existence of a low dimensional deterministic chaotic system in all cases. Both the dynamics are efficiently modeled to an approximate functional relation in symbolic form using an evolutionary program. Continuing the analysis in the case of the Dst data also. The Wavelet analysis of these data sets is in progress. 3 papers are communicated to internationally reputed journals. Two of them are under revision

Rheology, Atmospheric and magnetospheric chaos- linear and nonlinear time series analysis

Selected Publications:

• C. V. Anil Kumar, K. Satheesh Kumar and T. R. Ramamohan, Chaotic dynamics of periodically forced spheroids in simple shear flow with potential application to particle separatio, Rheologica Acta, 34, 504-511 (1995).
• (This paper is listed in the current World Literature section in Current Opinion in Colloid and Interface Science vol.1/4 1996)
• C. V. Anil Kumar and T. R. Ramamohan, New Type-I intermittency in the dynamics of periodically forced spheroids in simple shear flow, Phys. Lett. A, 277, 72-78 (1997).
• C. V. Anil Kumar, K. Satheesh Kumar and T. R. Ramamohan, Erratum: Chaotic dynamics of periodically forced spheroids in simple shear flow with potential application to particle separation, Rheologica Acta>, 35, 523 (1996).
• C. V. Anil Kumar and T. R. Ramamohan, Controlling chaotic dynamics of periodically forced spheroids in simple shear flow: Results for an example of a potential application, Sadhana, 23(2), 131-149 (1998).
• C. V. Anil Kumar, J. Dasan and T. R. Ramamohan, Comparative analysis of a heuristic control of chaos algorithm on some model systems, Int. J. Bifurcation and Chaos, 10(1) 237-249 (2000).
• K. Satheesh Kumar, Benny George, C. V. Anil Kumar, G. Renuka, and C. Venugopal, Analysis of the fluctuations of the total electron content (TEC) measured at Goose Bay using tools of nonlinear method, J. Geophys. Res. Vol. 109 A02308, doi: 10.1029/2002JA009768 (2004).
• K. Asokan, C. V. Anil Kumar, J. Dasan, K. Radhakrishnan, K. Satheesh Kumar and T. R. Ramamohan, Review of chaos in the dynamics and rheology of suspensions of orientable particles in simple shear flow subject to an external periodic force, J. Non-Newtonian Fluid. Mech., (2005).
• Benny George, K. Satheesh Kumar, C. V. Anil Kumar, R. Renuka and C. Venugopal, Period doubling and chaotic behaviour of the geomagnetic horizontal intensity investigated by wavelet transform techniques, Earth Planets and Space (under revision)
• C. V. Anil Kumar, K. Satheesh Kumar, Benny George, R. Renuka and C. Venugopal, The nonlinear time series analysis of the index Dst, J. Atmospheric and solar terr. phys. (under revision)