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SCHOOL OF NATURAL SCIENCES
NATURAL SCIENCES
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Faculty
Department of Mathematics
Lal Mohan Saha
Professor & Fellow,
IIIMIT and Department of Mathematics,
School of Natural Sciences
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Education Details
M.Sc. (1968), Patna University
Ph.D. in Applied Mathematics, (1974), University of Calcutta
Professional Experience
Teaching Experience: 39 years (Approx.)
Research Experience: 45 Years
Research Interests
Nonlinear Dynamical Systems and Chaos, Applications of Principles of Nonlinear Dynamics to Celestial Mechanics, Physics, Mechanics, Biological & Medical Sciences, Ecology, Financial Mathematics. Fractals & Dynamics of Fractal.

Fluid Mechacics, Continuum Mechanics, Microstructure bodies
Selected Publications
  1. L. M. Saha, Til Prasad Sarma and Purnima Dixit (2016): Study of Complexities in Bouncing Ball Dynamical System .Submitted for publication to Journal of Applied Computer Science & Mathematics (Rumania) (I. F. = 1.289)

  2. L. M. Saha,Til Prasad Sarma, Purnima Dixit (2016): Complexity analysis in bouncing ball dynamical system, [math.DS]

  3. Neha Kumra and L. M. Saha (2015) : Complexities in age-structured predator-prey system. Accepted & to be published in Applied Mathematical Sciences, 9, 2015, 5939 - 5949

  4. Sudeepto Bhattacharya and L. M. Saha (2015): A model of discrete Kolmogorov-type competitive interaction in a two-species ecosystem. [math.DS]

  5. R. K. Mohanty, Venu Gopal and L. M. Saha (2014): A new High accuracy non-polynomial tension spline method for the solution of one dimensional wave equation in polar coordinates. Journal of Egyptian Mathematical Society ( Elsevier ), 22, 280 – 285.

  6. Yasuo Tanaka and L. M. Saha (2013): Chaotic Motions of Pulsating Stars with convection Zones. Progress in Physics of the Sun and Stars, (Ed.) Hiromoto Shibahashi, Vol. 479, Page 561-567, Astron. Soc. Pacific Conference Series. (Impact Factor: 5.08)

  7. L. M. Saha and Roopesh Tehri (2013): Studying role of Tidal and magnetic parameter in Regular and Chaotic evolution of satellites Amalthea and 1980S27. Int. J. Nonlin. Sci. (IJNS), 16, No. 4, 346–352.

  8. L. M. Saha, Sadanand Prasad and R. K. Mohanty (2013): Dynamic behavior of generalized invertible Henon map. Int. J. of Appl. Math and Mech. (IJAMM), 9 (18): 28-37, 2013.

  9. Mridula Budhraja, Keerti Jain Bahera and L. M. Saha (2013): Complexity study and chaos control in a prey-predator system. Accepted in Journal of Advances in Mathematics, 4 (3), 469 – 477.

  10. Mridula Budhraja, Narender Kumar and L. M. Saha (2012): The 0-1 Test applied to Peter-de- Jong map. Int. J. Eng. and Innov. Tech., 2 (6),,253 - 257. (Impact Factor 1.895)

  11. Yasuo Tanaka and L. M. Saha (2012): Nonlinear Behaviors of Pulsating Stars with Convective Zones. PASJ: Publ. Astron. Soc. Japan 64, L8-1- 4. (Impact Factor 4.4)

  12. L. M. Saha, Sadanand Prasad and G. H. Erjaee (2012): Interesting dynamic behavior in some discrete maps. Iranian J, of Science & Technology, IJST A3 (sp. Issue): 383-389.

  13. L. M. Saha, Sadanand Prasad and Manabu Yuasa (2012): Measuring chaos: Topological entropy and correlation dimension in discrete maps. . Science and Technology, Japan, 24, 11-23.

  14. L. M. Saha and Niteesh Sahni (2012) : Chaotic Evolutions in a modified coupled logistic type predator-prey model. Applied Mathematical Sciences, 6, 6927 – 6942.

  15. L. M. Saha Sadanand Prasad and R. K. Mohanty (2012): Correlation dimension and topological entropy in discrete maps. Applied Mathematical Sciences, 6, No. 84, 4197 – 4209.

  16. L.M. Saha, Niteesh Sahni, Til Prasad Sarma (2012): Measuring Chaos in Some Discrete Nonlinear Systtems. Int. J. Eng. and Innov. Tech. (U S A), vol. 2, Issue 5, 194 – 200.

  17. M. K. Das, Anindita Bhattarchrjee, Navin K. Bhatraju, M. Yousa and L. M. Saha (2012): Cooperative Dynamics of Coupled Neuron Model and Multifractality. Bull. Cal. Math. Soc., 104, No. (6), 71 - 100.

  18. Bharti, L. M. Saha and Manabu Yuasa (2011): Energy variability and chaos in Ueda oscillator. Science and Technology, Kinki University, Japan. No. 23, pp 1 -10.

  19. L. M. Saha, Bharti an M. Yuasa (2010):Energy variability in chaotic dynamical Systems. Science and Technology, Kinki University, Japan. No. 22, 1 – 8.

  20. L. M. Saha, Bharti and R. K. Mohanty (2010): Study of bifurcation and hyperbolicity in discrete dynamical systems. Iranian J, of Science & Technology, 34, No. A1, 1 – 12.

  21. M. K. Das, Pankaj Narang, M. Yuasa and L. M. Saha (2010): Simulation and characterization of trajectories in Sun-Jupiter-Comet system. Ind. J. Radio & Spac Phys. (IJRSP), 39 (5), 237-239.

  22. G. Litak, L. M. Saha and M. Ali (2010): Continuous and Pulsive Feedback Control of Chaos, Recent Progress in Controlling Chaos, by Miguel A. F. Sanjuan and Celso Grebogi, World Scientific (Chapter 12), p. 337 – 369.

  23. L. M. Saha and Roopesh Tehri (2010): Applications of recent indicators of regularity and chaos to discrete maps. Int. J.Appl. Math. Mech.,6 ,86– 93.

  24. A. Syta, G. Litak, Mridula Budhraja and L. M. Saha (2009): Detection of the chaotic behaviour of a bouncing ball by 0 – 1 test, Chaos, Solitons & Fractals, 42, 1511-1517.

  25. Z. A. Taqvi, Monika Saxena and L. M. Saha (2009): Chaotic motion of an ellipsoidal satellite. Proc. Nat. Acad. Sci. India, Sec. A, 79, 259 – 266.

  26. L. M. Saha, R. K. Mohanty and Bharti. (2009): Hyperbolicity and chaos in discrete systems. Int. J. of Appl. Math and Mech. 5 (5), 48 – 56.

  27. L. M. Saha and Neenu Gupta (2009): Lyapunov exponent in stellar oscillations for regular and chaotic evolutions. Int. J. of Appl. Math and Mech., 4 (4), 16 – 21.

  28. Manabu Yuasa and L. M. Saha (2008): Indicators of chaos. Science and Technology, Kinki University, Japan. No. 20, 1 – 12.

  29. M. K. Das, Pankaj Narang, M. Yuasa and L. M. Saha (2008): On particle trajectories in restricted 3-body problem including the effect of radiation: Sun-Jupiter system. Astrophys. Space Sc. 314, 59 – 71.

  30. L. M. Saha, M. K. Das and Mridula Budhraja (2007): Characterization of attractors in Gumowski – Mira map using fast Lyapunov indicators. Accepted for publication in FORMA, 21, 151 – 158.

  31. G. Litak, M. Ali, L. M. Saha (2007): Pulsating feedback control for stabilizing unstable periodic orbits in a nonlinear oscillator with a non-symmetric potential. Int. J. Bifur. Chaos, 17, 2797 – 2803.

  32. G. Litak, M. Borowiec, M. Ali, L. M. Saha and M. I. Friswell (2007): Pulsive feedback control of a quarter car forced by a road profile. Chaos Soliton and Fractals, 33, 1672-1676.

  33. L. M. Saha and Mridula Budhraja (2007): The largest eigenvalue: An indicator of chaos? Int. J. of Appl. Math. And Mech., 3(1), 61 - 71.

  34. L. M. Saha and Mridula Budhraja (2007): Complete synchronization of chaotic systems. Proc. Nat. Acad. Sci. INDIA, 77(A), 11. 161 – 168.

  35. M. Ali and L. M. Saha (2005): Local lyapunov exponents and characteristics of fixed/ periodic points embedded within a chaotic attractor, J. Zhejiang Univ. Sci.,6A(4), 296 - 304.

  36. M. Ali, L. M. Saha, Yasuo Tanaka and H. Soga (2005): Bifurcation Scenario in Gumowski-Mira map: Chaos doubling phenomena, Bull. Fac. Edu., Ibaraki Univ. (Nat. Sci.), 54, 129 - 139.

  37. L. M. Saha, Til Prasad Sarma, G. H. Erjaee and Purnima Dixit (2005): Hill’s stability criteria in the oblate restricted three-body problem, Proc. Nat. Acad. Sci., Sec. A, 75A, No. 1, 51 – 55.

  38. M. Ali, L. M. Saha, Yasuo Tanaka and H. Soga (2005): Non parametric periodic orbit as a singularity of the OGY stabilization technique, Bull. Fac. Edu., Ibaraki Univ. (Nat. Sci.), 54, 121 - 128.

  39. G. H. Erjaee, M. H. Atabakzade and L. M. Saha (2004): Interesting synchronization-like behavior, Int. Jour. Bifur.. Chaos, 14(4),1447-1453.

  40. L. M. Saha, G. H. Erjaee and Mridula Budhraja (2004): Controlling chaos in 2-dimensional systems, Iranian Jour. Sci. Tech., Trans. A, 28, No.A2, 219 – 226.

  41. L. M. Saha, M. K. Das and Yasuo Tanaka (2003): On the motion of an infinitesimal mass in the gravitational potential of a binary star system, Mass-Losing Pulsating Stars and their Circumstellar Matter, (eds.) N. Nakada et al., Kluwer Academic Publishers, Netherlands, 121-122.

  42. L. M. Saha, M. K. Das and Yasuo Tanaka (2003): Effect of radiation from primaries on nonlinear stability of motion around L4, Bull. Fac. Edu., Ibaraki Univ. (Nat. Sci.), 52, 21 – 25.

  43. M. K. Das, Manabu Yuasa, L. M. Saha and Reza K. Tavakol (2003): Numerical investigation of the stability of motion of a mass element ejected from a component of a binary star system, Mass-Losing Pulsating Stars and their Circumstellar Matter, (eds.) N. Nakada et al., Kluwer Academic Publishers, Netherlands, 123-124.

  44. M. K. Das, P. Narang, Manabu Yuasa, L. M. Saha, Reza Tavakol and Yasuo Tanaka (2003): On the motion of a mass element moving in the gravitational field of a radiating binary system, Bull. Fac.Edu., Ibaraki Univ. (Nat. Sci.), 52, 27–30.

  45. L. M. Saha, Ayub Khan & Til Prasad Sarma, (2000): Effects of solar radiation pressure and tidal forces on the rotational motion of a satellite, Bull. Astron. Soc. India, 28, 147-152.

  46. Ayub Khan, L. M. Saha and Til Prasad Sarma (1999): Hori’s method to non-linear coupled oscillators and applications to restricted problem; Bull. Astron. Soc. India, 27, 81 –84.

  47. Yasuo Tanaka, L. M. Saha and M. K. Das (1997): Spatiotemporal analysis of stellar pulsation and convection; Pulsating Stars, Proceedings of the Joint Discussion of the 23rd General Assembly of the IAU, Kyoto, Japan, Ed. M. Takeuti & D. D. Sasselov, Universal Academy Press, Tokyo, Japan, p. 241 – 244.

  48. K. B. Bhatnagar and L. M. Saha, (1994) : General motion of N-rigid bodies, Bull. Astro. Soc. Ind. 22, 1-19.

  49. K.B.Bhatnagar, Ayub Khan and L. M. Saha (1994): Non-linear planar oscillation of a satellite in elliptic orbit under the influence of solar radiation pressure (I), Bull. Astro. Soc. Ind., 22, 47-58.

  50. K.B.Bhatnagar, Ayub Khan and L. M. Saha (1994): Non-linear planar oscillation of a satellite in elliptic orbit under the influence of solar radiation pressure (II), Bull. Astro. Soc. Ind., 22, 275-290.

  51. L. M. Saha, (1993) : On instability leading to chaos, Proceedings of I A U Colloquium 132, Delhi (1990) : Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics, ed. K.B.Bhatnagar, Nova Publishers, New York, (1993), P. 47-60.

  52. K. B. Bhatnagar and L. M. Saha, (1993) : N-body problem, Bull. Astro. Soc. Ind., 21, 1-15.

  53. L. M. Saha and Y. K. Mehta, (1981) : On finite strain theory for elastic-inelastic bodies, Ind. J. Pure and Appl. Math., 12, 758-763.

  54. Ayub Khan, Renu Sharma & L. M. Saha, (1998) : Chaotic motion of an ellipsoidal satellite I, The Astronomical Journal , 116, 2058-2066.

  55. G. Capriz and L. M. Saha, (1976) :Anelastic deformation as an internal parameter, Meccanica, 11, 36-41.

  56. G. Capriz and L. M. Saha, (1974) :Anelastic deformation as an internal parameter, (with G. Capriz), (1974) : Topics in Contemporary Mechanics, CISM 210, Springer,Wien, P.53-57.

  57. G. Capriz and L. M. Saha, (1974) :Deformazioni di continui con dislocazioni, Proceedings of 2nd Congresso Nazionale del’ Associazione Italiana di Meccanica Teorica ed Applicata, AIMETA, Napoli, P. 37-45.

  58. L. M. Saha and L. Debnath, (1973):Unsteady boundary layer flows induced by a wavy plate, Pure and Applied Geophys., 105, 801-809.

  59. L. M. Saha, (1972): Some observations on stress-strain relations , Ind. J. Phys.45, 193-199.

  60. M. Dutta and L. M. Saha, (1972):On the number of elastic coefficients of general aeolotropic bodies, Ind. J. Phys. 45, 140-142.

  61. L. M. Saha, (1972): On some important relations between elastic coefficients, Anal. Bucu. Ser. Mat. Meca., 21, 81-83.
National and International Recognition
  1. Research Fellow (1968 – 72): Centre of Advanced Study in Applied Mathematics, University of Calcutta, INDIA

  2. Senior Associate, Inter-University Centre for Astronomy & Astrophysics (IUCAA), Pune, INDIA. (1989 - 2008).

  3. Research Fellow (1972 – 74): Scuola Normale Superiore, Pisa, ITALY

  4. Senior Research Fellow (Post-Doctoral) (1974 – 77): Istituto di Elaborazione della Informazione del C N R, Consiglio Nazionale delle Ricerche (National Research Council), Pisa, ITALY.

  5. Visiting Fellow, Universitat Düsseldorff, GERMANY, Aug.–Sept., 1975

  6. Visiting Fellow, Gesamthochschule Paderborn, GERMANY: July-August, 1978

  7. Visiting Professor, Japan Society for the Promotion of Science (JSPS), Ibaraki University, Mito, JAPAN: May 5 – July 5, 1997.

  8. Visiting Professor, (JSPS), Research Institute of Science and Technology (RIST), Kinki University, Osaka, JAPAN: June 15 – July 15, 2006

  9. Medal Awarded: PROFESSOR KANEHISA HASHIMOTO, the President, Ibaraki University, Mito, JAPAN, has awarded a Medal on 4th July, 1997, in commemoration of visit to Japan with the invitation of Japan Society for the Promotion of Science, JSPS.
Executive Summary
  1. Supervised 15 Ph.D. & 8 M.Phil students
  2. Editor of Iranian Journal of Science and Technology,
  3. Member of the Editorial Board of Journal of Chaos.
  4. Reviewer of a number of International & National Journals
  5. Member of Board of Studies:
    G.G.S.I.P. University,Dwarka, Delhi
    Jamia Millia Islamia, Delhi
    BML Munjal University, Gurgaon.
  6. Life Member of a number of Learned Societies
  • Research Collaborations: Prof. G. Litak (Poland), Prof. Manabu Yuasa (Japan), Prof. Yasuo Tanaka (Japan), Prof. E. Frieswell (U K), Prof. G. H. Erjaee (Iran), and with a number of Indian sholars from Delhi University, G G S I P University, Jamia Millia Islamia, Calcutta University, Chitkara University etc.
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