animation showing
chaotic behavior Lakshmanan has done extensive research in the field of nonlinear dynamics, especially on
solitons and
chaos theory. Collaborating with K. Murali and
Leon O. Chua, he developed a non-autonomous chaotic circuit,
Murali—Lakshmanan-Chua (MLC) Circuit which they detailed in an article,
Controlling and Synchronization of Chaos in the Simplest Dissipative Non-autonomous Circuit, published in
International Journal of Bifurcation and Chaos in 1995. He studied
Heisenberg spin chains with respect to its
solitons and elucidated the collision of optical solitons in
multimode fibres and demonstrated the energy sharing between them. His studies have been documented by way of a number of articles Besides, he has published nine books "Chaos in Nonlinear Oscillators: Controlling and Synchronization", "Symmetries and singularity structures", "Dynamics of Nonlinear Time-Delay Systems" and "Nonlinear Evolution Equations: Integrability and Spectral Methods". His work has drawn citations from other scientists and he has mentored over 25 doctoral and many master's scholars, which has helped develop a school of research on nonlinear dynamics. Lakshmanan founded the
Centre for Nonlinear Dynamics of Bharathidasan University and served as the head of the centre for almost a decade and half from 1992 to 2006. and has been associated with many other journals such as
Advances in Mathematical Physics,
Physics News,
Journal of Nonlinear Mathematical Physics,
Indian Journal of Physics and
Proceedings of the Royal Society of London A. He also served as the guest editor-in-chief of
Chaos, Solitons and Fractals when they published a special issue on solitons in 1995. He has been involved in the organization of the international conferences, workshops and winter schools and is a member of the organizing committee of the 3rd
International Conference on Symmetries, Differential Equations and Applications (SDEA-III) scheduled to be held at
Istanbul Technical University in August 2017. He delivered the keynote address as the chief guest at the workshop on
Nonlinear Dynamics and its Applications organized by Indian Academy of Sciences and Bharathidasan University in 2003 and was the session chair of the ''Physics and Applied Mathematics Researchers' Meet
(PAAMRM-2015) held at Indian Statistical Institute in March 2015. He was also an invited speaker at the Society for Industrial and Applied Mathematics conference on Nonlinear Waves and Coherent Structures (NW08)
in July 2008, at the international conference on Nonlinear Evolution Equations and Dynamical Systems-2009
in Italy in May 2009, at the Robin Bullough Memorial Meeting of the University of Manchester in June 2009, at the Symmetry plus Integrability
conference in Texas in June 2011, at Physcon-2011
in Spain in September 2011 and at the international conference on Frontiers in Mathematics'' at
Guwahati University in March, 2015. When the National Academy of Sciences, India organized a national symposium on "New Materials" in 1987, he was among the organizers of the event and he served in the councils of the other two major Indian science academies, at Indian National Science Academy during 2005–07 He also was on the
National Board for Higher Mathematics from 1989 to 1992. == Awards and honors ==