Author
M. Lakshmanan
Other affiliations: Eindhoven University of Technology, University of Manchester, Manonmaniam Sundaranar University ...read more
Bio: M. Lakshmanan is an academic researcher from Bharathidasan University. The author has contributed to research in topics: Nonlinear system & Soliton. The author has an hindex of 54, co-authored 533 publications receiving 13357 citations. Previous affiliations of M. Lakshmanan include Eindhoven University of Technology & University of Manchester.
Papers published on a yearly basis
Papers
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Book•
01 Jun 1996
TL;DR: In this article, the authors present chaotic dynamics of Bonhoeffer-Van der Pol (BVP) and Duffing van der POL (DVP) oscillators with Chua's diode controlling of chaos synchronization and secure communications.
Abstract: Duffing oscillator - bifurcation and chaos, analytic approaches chaotic dynamics of Bonhoeffer-Van der Pol (BVP) and Duffing-Van der POL (DVP) oscillators chaotic oscillators with Chua's diode controlling of chaos synchronization and secure communications.
524 citations
TL;DR: In this paper, it was shown that the one-dimensional classical spins with nearest neighbor Heisenberg interaction is an exactly solvable system and its dynamics describable by the nonlinear Schrodinger equation.
433 citations
Book•
01 Jan 2003
TL;DR: In this article, nonlinear dynamics integrability chaos and patterns 1st edition PDF is available at the online library of the University of South Carolina, United States of America (USAA).
Abstract: NONLINEAR DYNAMICS INTEGRABILITY CHAOS AND PATTERNS 1ST EDITION PDF Are you looking for nonlinear dynamics integrability chaos and patterns 1st edition Books? Now, you will be happy that at this time nonlinear dynamics integrability chaos and patterns 1st edition PDF is available at our online library. With our complete resources, you could find nonlinear dynamics integrability chaos and patterns 1st edition PDF or just found any kind of Books for your readings everyday.
329 citations
TL;DR: The significant fact that the various partially coherent solitons discussed in the literature are special cases of the higher order bright soliton solutions of the N-CNLS equations is reported.
Abstract: We present the exact bright one-soliton and two-soliton solutions of the integrable three coupled nonlinear Schrodinger equations (3-CNLS) by using the Hirota method, and then obtain them for the general N-coupled nonlinear Schrodinger equations ( N-CNLS). It is pointed out that the underlying solitons undergo inelastic (shape changing) collisions due to intensity redistribution among the modes. We also analyze the various possibilities and conditions for such collisions to occur. Further, we report the significant fact that the various partially coherent solitons discussed in the literature are special cases of the higher order bright soliton solutions of the N-CNLS equations.
274 citations
TL;DR: By constructing a six-parameter bright two-soliton solution of the integrable coupled nonlinear Schrodinger equation (Manakov model) using the Hirota method, the solitons exhibit certain inelastic collision properties, which have not been observed in any other $(1+1)$-dimensional soliton system so far as discussed by the authors.
Abstract: By constructing the general six-parameter bright two-soliton solution of the integrable coupled nonlinear Schr\"odinger equation (Manakov model) using the Hirota method, we find that the solitons exhibit certain novel inelastic collision properties, which have not been observed in any other $(1+1)$-dimensional soliton system so far In particular, we identify the exciting possibility of switching solitons between modes by changing the phase However, the standard elastic collision property of solitons is regained with specific choices of parameters
274 citations
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TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.
Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …
33,785 citations
Journal Article•
28,685 citations
28 Jul 2005
TL;DR: PfPMP1）与感染红细胞、树突状组胞以及胎盘的单个或多个受体作用，在黏附及免疫逃避中起关键的作�ly.
Abstract: 抗原变异可使得多种致病微生物易于逃避宿主免疫应答。表达在感染红细胞表面的恶性疟原虫红细胞表面蛋白1（PfPMP1）与感染红细胞、内皮细胞、树突状细胞以及胎盘的单个或多个受体作用，在黏附及免疫逃避中起关键的作用。每个单倍体基因组var基因家族编码约60种成员，通过启动转录不同的var基因变异体为抗原变异提供了分子基础。
18,940 citations
Proceedings Article•
14 Jul 1996TL;DR: The striking signature of Bose condensation was the sudden appearance of a bimodal velocity distribution below the critical temperature of ~2µK.
Abstract: Bose-Einstein condensation (BEC) has been observed in a dilute gas of sodium atoms. A Bose-Einstein condensate consists of a macroscopic population of the ground state of the system, and is a coherent state of matter. In an ideal gas, this phase transition is purely quantum-statistical. The study of BEC in weakly interacting systems which can be controlled and observed with precision holds the promise of revealing new macroscopic quantum phenomena that can be understood from first principles.
3,530 citations
TL;DR: In this paper, the authors describe the rules of the ring, the ring population, and the need to get off the ring in order to measure the movement of a cyclic clock.
Abstract: 1980 Preface * 1999 Preface * 1999 Acknowledgements * Introduction * 1 Circular Logic * 2 Phase Singularities (Screwy Results of Circular Logic) * 3 The Rules of the Ring * 4 Ring Populations * 5 Getting Off the Ring * 6 Attracting Cycles and Isochrons * 7 Measuring the Trajectories of a Circadian Clock * 8 Populations of Attractor Cycle Oscillators * 9 Excitable Kinetics and Excitable Media * 10 The Varieties of Phaseless Experience: In Which the Geometrical Orderliness of Rhythmic Organization Breaks Down in Diverse Ways * 11 The Firefly Machine 12 Energy Metabolism in Cells * 13 The Malonic Acid Reagent ('Sodium Geometrate') * 14 Electrical Rhythmicity and Excitability in Cell Membranes * 15 The Aggregation of Slime Mold Amoebae * 16 Numerical Organizing Centers * 17 Electrical Singular Filaments in the Heart Wall * 18 Pattern Formation in the Fungi * 19 Circadian Rhythms in General * 20 The Circadian Clocks of Insect Eclosion * 21 The Flower of Kalanchoe * 22 The Cell Mitotic Cycle * 23 The Female Cycle * References * Index of Names * Index of Subjects
3,424 citations