- Home
- Best Scientists - Engineering and Technology
- M. Lakshmanan

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Engineering and Technology
D-index
57
Citations
11,546
255
World Ranking
824
National Ranking
11

2009 - Fellow, The World Academy of Sciences

- Quantum mechanics
- Mathematical analysis
- Nonlinear system

His main research concerns Nonlinear system, Soliton, Integrable system, Quantum mechanics and Mathematical physics. His work carried out in the field of Nonlinear system brings together such families of science as Synchronization of chaos and Mathematical analysis, Linear equation. M. Lakshmanan has researched Soliton in several fields, including One-dimensional space, Gross–Pitaevskii equation, Classical mechanics and Schrödinger equation.

His Integrable system study incorporates themes from Quantum electrodynamics and Elastic collision. His study looks at the relationship between Quantum mechanics and topics such as Continuum, which overlap with Spins and Spin system. His Mathematical physics research integrates issues from Singularity, Boundary, Wave equation, Differential equation and Space.

- Chaos in Nonlinear Oscillators: Controlling and Synchronization (413 citations)
- Continuum spin system as an exactly solvable dynamical system (377 citations)
- Nonlinear Dynamics: Integrability, Chaos and Patterns (257 citations)

M. Lakshmanan mainly focuses on Nonlinear system, Mathematical physics, Integrable system, Mathematical analysis and Quantum mechanics. Nonlinear system is a subfield of Control theory that he studies. The concepts of his Mathematical physics study are interwoven with issues in Symmetry, Nonlinear Schrödinger equation, Homogeneous space, Singularity and Hamiltonian.

The study incorporates disciplines such as Soliton and Ode in addition to Integrable system. His study in Soliton is interdisciplinary in nature, drawing from both Elastic collision, Spin-½, One-dimensional space and Schrödinger equation. His Chaotic research incorporates themes from Topology, Synchronization of chaos, Synchronization and Bifurcation.

- Nonlinear system (33.58%)
- Mathematical physics (20.22%)
- Integrable system (20.04%)

- Nonlinear system (33.58%)
- Mathematical physics (20.22%)
- Oscillation (3.53%)

M. Lakshmanan focuses on Nonlinear system, Mathematical physics, Oscillation, Soliton and Quantum mechanics. M. Lakshmanan combines subjects such as Type, Statistical physics, Optics and Schrödinger's cat with his study of Nonlinear system. His work focuses on many connections between Mathematical physics and other disciplines, such as Noether's theorem, that overlap with his field of interest in Physical system and Scalar field.

His work on Manakov system as part of general Soliton research is frequently linked to Parametric statistics, thereby connecting diverse disciplines of science. His Manakov system research incorporates themes from Energy sharing and Classical mechanics. His work on Cluster, Exponential growth and Cluster state as part of general Quantum mechanics study is frequently linked to Chimera, therefore connecting diverse disciplines of science.

- Chimera states in two-dimensional networks of locally coupled oscillators (44 citations)
- Distinct collective states due to trade-off between attractive and repulsive couplings (28 citations)
- Nonstandard bilinearization of PT-invariant nonlocal nonlinear Schrödinger equation: Bright soliton solutions (26 citations)

- Quantum mechanics
- Mathematical analysis
- Nonlinear system

M. Lakshmanan mainly investigates Nonlinear system, Quantum mechanics, Soliton, Oscillation and Manakov system. His study in Nonlinear system is interdisciplinary in nature, drawing from both Optics, Attractor, Invariant, Statistical physics and Integrable system. His works in Cluster state and Bifurcation are all subjects of inquiry into Quantum mechanics.

His Soliton research is multidisciplinary, incorporating elements of Critical power, Coupling length, Degenerate energy levels and Mathematical physics. His work carried out in the field of Mathematical physics brings together such families of science as Complex conjugate, Nonlinear Schrödinger equation and Parity. His Manakov system research incorporates elements of Energy sharing and Classical mechanics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Chaos in Nonlinear Oscillators: Controlling and Synchronization

Muthuswamy Lakshmanan;K. Murali.

**(1996)**

745 Citations

Nonlinear Dynamics: Integrability, Chaos and Patterns

Muthuswamy Lakshmanan;S. Rajasekar.

**(2003)**

681 Citations

Continuum spin system as an exactly solvable dynamical system

M. Lakshmanan.

Physics Letters A **(1977)**

530 Citations

Dynamics of Nonlinear Time-Delay Systems

Muthusamy Lakshmanan;Dharmapuri Vijayan Senthilkumar.

**(2011)**

366 Citations

Inelastic Collision and Switching of Coupled Bright Solitons in Optical Fibers

R. Radhakrishnan;M. Lakshmanan;J. Hietarinta.

Physical Review E **(1997)**

355 Citations

Exact soliton solutions, shape changing collisions, and partially coherent solitons in coupled nonlinear Schrödinger equations.

T. Kanna;M. Lakshmanan.

Physical Review Letters **(2001)**

306 Citations

Bright and dark soliton solutions to coupled nonlinear Schrodinger equations

R. Radhakrishnan;Muthusamy Lakshmanan.

Journal of Physics A **(1995)**

266 Citations

Secure communication using a compound signal from generalized synchronizable chaotic systems

K. Murali;M. Lakshmanan.

Physics Letters A **(1998)**

260 Citations

Transmission of signals by synchronization in a chaotic Van der Pol-Duffing oscillator.

K. Murali;M. Lakshmanan.

Physical Review E **(1993)**

243 Citations

The fascinating world of the Landau-Lifshitz-Gilbert equation: an overview

M. Lakshmanan.

Philosophical Transactions of the Royal Society A **(2011)**

243 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Potsdam Institute for Climate Impact Research

Anna University, Chennai

Pondicherry University

Potsdam Institute for Climate Impact Research

University of California, Berkeley

Australian National University

Columbia University

Tel Aviv University

University of Chicago

Nazarbayev University

University of California, Los Angeles

Stanford University

University of Tennessee at Knoxville

Leibniz Association

National Institutes of Health

Howard Hughes Medical Institute

Fisheries and Oceans Canada

University of Alaska Fairbanks

The Wistar Institute

University of Washington

University of Washington

Agricultural Research Organization

Centre for Environment, Fisheries and Aquaculture Science

University Medical Center Groningen

The University of Texas MD Anderson Cancer Center

DuPont (United States)

Something went wrong. Please try again later.