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1965 - B.Sc. (H) Mathematics - S.P.
College, Dumka, Bhagalpur University
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1968 - M.Sc. Mathematics - Patna University, Patna
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1974 - Ph.D. Applied Mathematics - University of Calcutta, Kolkata
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| Higher Studies & Research |
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Centre of Advanced Study in Applied Mathematics, University of Calcutta, India, (11.08.1968 - 09.10.1972), as a Research Fellow. |
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Scuola Normale Superiore, Pisa, ITALY: (10.10.1972 – 09.10.1974), As a Research Fellow. |
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ITALY |
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Istituto di Elaborazione della Informazione del C. N. R., Pisa,, (01.10.1974 – 25.08.1977), Post-DoctorateResearch. |
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Department of Mathematics, University of Delhi, (17.09.1986 – 22.08.1988) : Scientific Pool Officer, Council of Scientific and Industrial Research (CSIR), Govt. of India.
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| Research
Interests |
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Dynamical Systems,Celestial Mechanics & Astronomy , Fluid Dynamics and Nemurical Analysis.
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| Details
of publications |
| Dynamical Systems & Chaos: |
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L. M. Saha, (1995): On chaos in nonlinear dynamical systems, Presented at the IUCAA Workshop on Celestial Mechancis and Space Dynamics, Muzaffarpur, India, September 18-22, (1995), and appeared in its Proceedings in (1998), eds. K.B.Bhatnagar & B. Iswar, P. 154-167. |
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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. |
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L. M. Saha, (1996) : Order and chaos in nature Jigyansa, J. Soc. Sci. 1, 69-75. |
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Ila Sahay and L. M. Saha (2002): Bifurcation in the expansion of a gas bubble in the rayleigh model, News Bull. Cal. Math. Soc., 25, 17 – 22. |
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Purnima Dixit and L. M. Saha (2003): On sensitivity to initial conditions and chaos, The Journal of Math. Sci., 2, 1 – 9. |
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L. M. Saha and Purnima Dixit (2003): On controlling chaos in oscillators. News Bull. Cal. Math. Soc., 26, 19 - 24. |
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G. H. Erjaee, M. H. Atabakzade and L. M. Saha (2004): Interesting synchronization-like behavior, Int. Jour. Bifur.. Chaos, 14,1147-1453. |
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Ila Sahay and L. M. Saha (2004): Controlling chaos by periodic parametric excitation in Froude pendulum, Science Lett., 27, 65 – 68. |
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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. |
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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. |
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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. |
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Z. A. Taqvi, Khursheed Alam and L. M. Saha (2005): Regular and chaotic motion in oscillators, News Bull. Cal. Math. Soc., 28, 7 – 12. |
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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. |
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Roopesh Tehri adn L. M Saha(2006): Controlling chaotic oscillations in a buckeed elastic beam by periodic parametric perturbation, Vol. XL, No.2, 81-87. |
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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. |
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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. |
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L. M. Saha (2006): Realization of chaos and fractals using Mathematica. Presented and Printed in the Proceedings of 2nd National Workshop on “ Techniques in Applied Mathematics”, June 20 – 28, 2006, University of Calcutta, p 198 – 208. |
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L. M. Saha and Mridula Budhraja (2007): Complete synchronization of chaotic systems. Proc. Nat. Acad. Sci. INDIA, 77(A), 11, 161-168. |
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G. Litak, M. Ali, L. M. Saha (2007): Pulsive feedback control for stabilizing unstable periodic orbits in a nonlinear oscillator with a non-symmetric potential. To appear in Int. J. Bifur. Chaos, 17, 2797 -2803. |
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L. M. Saha and Mridula Budhraja (2007): The largest eigenvalue: An indicator of chaos? In Press, Int. J. of Appl. Math and Mech.,3(1), 61-71. |
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Mridula Budhraja and L. M. Saha (2007): Analysis of the dynamics of the uncontrolled and controlled Henon map. In Press, News Bull. Cal. Math. Soc. |
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Mridula Budhraja and L. M. Saha (2007): Synchronization and anti- Synchronization in chaotic systems. Communicated to Proc. Nat. Acad. Sci. India. |
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L. M. Saha and Mridula Budharaja (2007): Analysis of the dynamics of uncontrolled and controlled Henon map. In Press, Bull. Cal. Math. Soc. |
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Manabu Yuasa and L. M. Saha (2008): Indicators of chaos. Science and Technology, Kinki University, Japan. No. 20, 1-12 |
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A. Syta, G. Litak, Mridula Budharaja and L.M. Saha(2008): Detection of the chaotic behaviour of a bouncing ball by 0-1 test. Accepted, Int. J. Bifur and Chaos. |
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A. Syta, G. Litak, Mridula Budharaja and L.M. Saha(2008): Dynamics and bouncing ball and use of various indicators. Accepted, Zeitschrift fur Naturforschung A. |
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Mridula Budhraja, Arkadiusz, L. M. Saha and G. litak (2008): Bouncing ball dynamics by novel chaos indicators. Accejpted for publication in Chaos, Solitions adn Fractals. |
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L. M. Saha and Bharati (2008): On hyperbolicity and chaos in discrete systems. To appear in the Proceedings of the Workshop on Operator Theory adn application, University of Delhi, Jan 9-12, Accepted. |
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L. M. Saha, G.Litak, R.K. Mohtanty and Bharti(2009): Bifurcation and hyperbolicity in discrete systems.to appear in Physica 'A'. |
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Z. A Taqvi, Khursheed Alam and L. M. Saha (2005): Stabilizing chaotic motion in Duffing oscillator. Communicated, Proc. Nat. Acad. Sci. Ind. |
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M. Ali and L. M. Saha (2006): Proxy map technique (PMT) for stabilizing non parametric periodic orbit, in Press, Ind. J. Pure & Appl. Math. |
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L. M. Saha and Ila Sahay (2006): Filtering data and effect of noise on evolution in dynamical systems. (Comm. To The Journal of Math. Sci.). |
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M. Ali, L. M. Saha and G. H. Erjaee (2006): Periodic breaking of a chaotic attractor in Gumowski – Mira map. (communicated). |
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| Celestial Mechanics & Astronomy: |
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K. B. Bhatnagar and L. M. Saha, (1993) : N-body problem, Bull. Astro. Soc. Ind., 21, 1-15.
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K. B. Bhatnagar and L. M. Saha, (1994) : General motion of N-rigid bodies, Bull. Astro. Soc. Ind. 22, 1-19.
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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.
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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.
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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.
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L. M. Saha, (1997): Chaos, chaos in solar system and chaos in stellar pulsation : Presented in a Special Lecture, on 6th June, (1997), at National Astronomical Observatory (NAO), Tokyo, Japan.
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Ayub Khan, Renu Sharma & L. M. Saha, (1998) : Chaotic motion of an ellipsoidal satellite I, The Astronomical Journal , 116, 2058-2066.
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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L. M. Saha and Til Prasad Sarma (2003): Motion of an artificial satellite moving around the oblate earth under the influence of atmospheric drag, Mathematical Analysis and Applications, ed. R. C. Sharma, Allied Publishers Pvt. Limited, New Delhi, pp. 241 – 246. |
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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. |
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Neenu Gupta and L.M. Saha (2005): Regularity and chaos in stellar variability. Nat. Acad. Sci. Lett., 28 109-115 |
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Neenu Gupta and L. M. Saha (2005): Application of dynamical system to study stellar pulsations. Proceedings of the National Conference on Frontiers in Applied and Computational Mathematics, (FACM – 2005), March 04 – 05, 2005. Eds. H. S. Kasana, M. K. Sharma, R. Kumar and K. Verma, Allied Publishers Pvt. Ltd., New Delhi, P. 350 – 355. |
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Ayub Khan, L. M. Saha and Til Prasad Sarma (2005): Lie technique in restricted three body problem, Ganita Sandesh, 19, 63 – 78. |
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L. M. Saha, Z. A. Taqvi and Monika Saxena (2006): Stability of motion of an artificial earth, News Bull. Cal. Math. Soc., 29, 13 – 18. |
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Neenu Gupta and L. M. Saha (2006): On regular and chaotic evolution in stellar system. Communicated to Proceedings of National Academy of Sciences, India. |
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M. K. Das, L. M. Saha and Yasuo Tanaka (2006): Radiation effect on the stability of a small mass moving in the potential field of binary stars. To appear in IUCAA Proceedings. |
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L. M. Saha and Neenu Gupta (2007): Lyapunov exponent in stellar oscillations for regular and chaotic evolutions. Accepted, Int, J. Appl. Math. Mech. |
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L. M. Saha, M. K. Das, Pankaj Narang and M. Yuasa (2005): On the effect of Poynting-Robertson drag on nonlinear stability of motion in a binary system. Presented at CELMEC IV, San Martino al Cimino, Viterbo, Italy, Sept. 11- 16, (2005). |
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Neenu Gupta and L. M. Saha (2007): Lyapunov exponents in stellar variability and chaos. Communicated to Cal. Math. Soc. |
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M. K. Das, L. M. Saha and Pankaj Narang (2007): Simulation and characterization of trajectories in Sun-Jupiter-Comet system. Presented at IHY- CAWSES India Workshop on Super active Regions of Solar Cycle 23 and their Geo-Space Impact, AIRES, Nainital, May 7 10, 2007. |
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L. M. Saha, Pankaj Narang, M. K. Das and M Yuasa (2007): Stability of motion of a Comet in Sun-Jupiter system. Presented at IHY-CAWSES India Workshop on Super active Regions of Solar Cycle 23 and their Geo-Space Impact, AIRES, Nainital, May 7 10, 2007. |
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M.K Das, Pankaj Narang, M. Yuasa and L.M. Saha (2008): On partical trajectories in restricted 3-body problem including the efffect of raditioin: Sun-Jupiter system. Astrophys. Space Sci., 314, P. 59-71 |
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| Continuum Mechanics: |
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L. M. Saha, (1972): Some observations on stress-strain relations , Ind. J. Phys.45,193-199. |
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M. Dutta and L. M. Saha, (1972):On the number of elastic coefficients of general aeolotropic bodies, Ind. J. Phys. 45, 140-142. |
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L. M. Saha, (1972): On some important relations between elastic coefficients, Anal. Bucu. Ser. Mat. Meca., 21, 81-83. |
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L. M. Saha and L. Debnath, (1973):Unsteady boundary layer flows induced by a wavy plate, Pure and Applied Geophys., 105, 801-809. |
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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. |
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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. |
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G. Capriz and L. M. Saha, (1976) :Anelastic deformation as an internal parameter, Meccanica, 11, 36-41. |
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L. M. Saha and L. Debnath, (1975) :Unsteady boundary layer flows between two wavy plates, Published in J. Fluid Mech.. |
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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. |
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L. M. Saha, (1986) : On a mathematical theory of deformation for bodies with microstructure, Libyan J. Sci., 12, 67-74. |
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Y. Tanaka, G. Ambika, L. M. Saha, M. K. Das and H. Soga (2007): Convective
flows in a cavity with a boundary varying temperature in time. Communicated |
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| Research Projects |
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Chaos in Stars and Stellar Systems, (May 5 – July 5, 1997) : Japan Society for the Promotion of Science, JSPS, Jointly worked with Professor Yasuo Tanaka, Ibaraki University, Mito, JAPAN. Project Completed.
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On Instability and Chaos in Nonlinear Dynamical Systems and in Solar System, (1990-1993) : Department of Science and Technology (DST), Govt. of India, Jointly worked with Professor K. B. Bhatnagar. Project Completed.
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Chaos in Astronomy and Astrophysics, (1994 -1997) :University Grants Commission (UGC), Govt. of India, Jointly worked with Professor K. B. Bhatnagar. Project Completed. |
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On Nonlinearity and Chaos in Dynamical Systems, (2001 – 2004), :University Grants Commission (UGC), Govt. of India. Project Completed. |
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On Measure 0f Chaos in Nonlinear Systems: Numerical and Analytical Exploration Using Recent tools, a JSPS – DST (Japan – India, 2008 - 2010) Project is submitted recently to DST with Dr. M. K. Das. |
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| Ph. D. awarded or Submitted |
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| M. Phil. awarded or Submitted |
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| Visiting Fellowships |
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GERMANY : |
Universitat Dusseldorff : August – September, 1975.
Gesamthochschule Paderborn : July – August, 1978. |
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JAPAN :
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Ibaraki University, Mito : May 5 – July 5, 1997. |
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JAPAN :
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Research Institute of Science & Technology, Kinki University, Osaka, Japan: July 1 – July 15, 2007. |
| Language Ablities |
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Hindi, Bengali, Santhali (Indian) :
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Reading, Writing & Speaking. |
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English & Italian :
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Reading, Writing & Speaking. |
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German and French :
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Some Working knowledge. |
