I have been doing research in Applied Mathematics and my field of specialization/interest is Dynamical Systems. I have worked on chaos theory and most of my research is on measuring chaos of different kinds of discrete maps/ models through Lyapunov Characterstic Exponent, Topological Entropy and Correlation dimension after getting the bifurcation diagrams leading to chaos. I have also used indicators of chaos like FLI, SALI, DLI etc. in some of my research papers. Apart from this I have also worked on Non Linear Dynamics and Space dynamics and few papers on restricted three body problem have been published in reputed journals. Currently I am working on generalised circular three body problem and on motion properties of the variable mass planetoid in the elliptical Sitnikov problem.
Development of portable Electronic Nose prototype with autonomous & stand-alone operation for quantified Ambient Air Pollution (AAP) measurement using wireless data transfer protocol on Android® enabled mobile phones (DU INNOVATION PROJECT ANDC 304)
Co-supervisor of Ms. Gunjan Goyal in M.Sc. Applied Mathematics, Amity University. She has submitted her dissertation entitled “CHAOS MEASURE IN ECOLOGICAL MODELS” on 30 May 2016.
ELITE project on “Detection and measuring chaos in non-linear dynamical systems” at Acharya Narendra Dev College, University of Delhi.
Mathematical Models (ISSN 2349-154X)
Classification of Second Order Linear Equations
(ISSN 2349-154X).Both the above for Differential Equation and Mathematical Modeling
Reduction Formulae (ISSN 2349-154X)
Concavity, Points of Inflexion, Curve Sketching (ISSN 2349-154X). Both the above for Calculus
Differential Equations of first order but not of first degree,Clairaut's Equationsand singular solutions, Envelops and Orthogonal trajectories, Existence andUniqueness of Solutions of first order differential equations(Differential Equation) (ISSN 2349-154X)
Numerical Solution of Ordinary Differential Equations – Numerical Methods (ISSN 2349-154X)
Measuring Chaos: Topological Entropy and Correlation Dimension in Discrete Maps
L. M. Saha, Sadanand Prasad and Manabu Yuasa
Science and Technology, Vol. 24, 2012, pg.11 - 23, JAPAN
(ISSN: 0916-2054)
Correlation Dimension and Topological Entropy in Discrete Maps
L. M. Saha, Sadanand Prasad and R. K. Mohanty
Applied Mathematical Sciences, Journal of Hikari, Vol. 6, 2012, no. 84, 4197 – 4209, BULGARIA, ISSN: 1314-7552 (online), 1312-885X (print)
Interesting Dynamic Behavior in Some Discrete Maps
L. M. Saha, Sadanand Prasad and G. H. Erjaee
Iranian Journal of Science & Technology, Vol. A3(Special issue-Mathematics), 2012, Pg. 383-389
ISSN: 1028-6276 (print version), 2364-1819 (electronic version)
Dynamic Behavior of Generalized Invertible Henon Map
L. M. Saha, Sadanand Prasad and R. K. Mohanty
Int. J. of Appl. Math and Mech. 9 (18): 28-37, 2013, (ISSN: 0973-0184)
Chaos Measure in Some Discrete Maps
L. M. Saha and Sadanand Prasad
Rev. Bull. Cal. Math. Soc. 20 (2): 113-120, 2012.(ISSN: 0008-0659)
Circular Restricted three-body problem when both the primaries are heterogeneous spheroid of three layer and infinitesimal body varies its mass
Abdullah A. Ansari, Ziyad Ali AlHussain and Sada Nand Prasad
J. Astrophys. Astr. 39:57,2018, ISSN: 0250-6335 (print) 0973-7758 (web)
Complexity Dynamics of Invertible Henon Map
L. M. Saha, Sadanand Prasad
Indian Journal of Industrial and Applied Mathematics, Vol. 9, No. 1, 54-59, 2018 ISSN: 1945-919X(Web), 0973-4317(Print)
Synchronization of fractal order Rabinovich-Fabrikant systems using sliding mode control techniques
Sanjay Kumar, Chaman Singh, Sada Nand Prasad, Chandra Shekhar and Rajiv Aggarwal
Archives of Control Sciences, Vol. 29(LXV) No. 2, 307-322, 2019
(ISSN: 1230-2384, 2300-2611)
Variable mass of a test particle in Copenhagen problem with Manev-type potential
Abdullah, Sada Nand Prasad, Mehtab Alam
Research and Review: Journal of Physics, Vol. 9(1), Pg. 17- 27, March 2020. (ISSN: 2278 - 2265)
Complexity Dynamics of Gumowski-Mira Map, accepted for publication in AAM journal, 2020. (ISSN: 1932-9466)
“Generalized elliptic restricted four-body problem with variable mass” accepted for publication in “Astronomy Letters” Vol. 6, Issue 4, 2020, Russia
ISSN: 1562-6873(Web), 1063-7737 (Print)
"Motion of the infinitesimal variable mass in the generalized circular restricted three-body problem under the effect of asteroids belt.
Ferdaous Bouaziz, Abdullah Ansari, Sada Nand Prasad
Under review in Journal of Astrophysics and Astronomy
"The motion properties of the variable mass planetoid in the elliptical Sitnikov problem"
Abdullah A. Ansari, Ph.D.; Sada Nand Prasad, Ph.D.
Under review in SN Partial Differential Equations and Applications