315 citations
- M. Lakshmanan2 profiles20 · h 53
- V. K. Chandrasekar2 profiles6 · h 24
- D. Senthilkumar5 · h 21
- Paulsamy Muruganandam2 profiles5 · h 24
- M. Daniel4 · h 22
- M. Senthilvelan4 · h 31
- V. Vasumathi4 · h 8
- Jürgen Kurths2 profiles3 · h 19
- R. Radha2 profiles3 · h 22
- S. Arumugam3 · h 27
- C. Kumar2 · h 6
- Jane H. Sheeba2 profiles2 · h 7
- University of PotsdamDE3 papers
- Anna University, ChennaiIN2 papers
- Google (United States)US2 papers
- Ain Shams UniversityEG1 paper
- B.S. Abdur Rahman Crescent Institute of Science & TechnologyIN1 paper
- Central Glass and Ceramic Research InstituteIN1 paper
- Centre de Physique ThéoriqueFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- École PolytechniqueFR1 paper
- Indian Institute of Science Education and Research MohaliIN1 paper
- Institute of Mathematical SciencesIN1 paper
- King Saud UniversitySA1 paper
9 papers · 1 filter
Soliton-like base pair opening in a helicoidal DNA: An analogy with helimagnet and cholesterics
M. Daniel, V. Vasumathi
We propose a model for DNA dynamics by introducing the helical structure through twist deformation in analogy with the structure of helimagnet and cholesteric liquid crystal system…
Perturbed soliton-like molecular excitations in a deformed DNA chain
V. Vasumathi, M. Daniel
We study the nonlinear dynamics of a deformed Deoxyribonucleic acid (DNA) molecular chain which is governed by a perturbed sine-Gordon equation coupled with a linear wave equation…
Transition to complete synchronization in phase coupled oscillators with nearest neighbours coupling
Hassan F. El-Nashar, Paulsamy Muruganandam, Fernando F. Ferreira +1
We investigate synchronization in a Kuramoto-like model with nearest neighbour coupling. Upon analyzing the behaviour of individual oscillators at the onset of complete synchroniza…
Phase Synchronization in Unidirectionally Coupled Ikeda Time-delay Systems
D. V. Senthilkumar, M. Lakshmanan, J. Kurths
Phase synchronization in unidirectionally coupled Ikeda time-delay systems exhibiting non-phase-coherent hyperchaotic attractors of complex topology with highly interwoven trajecto…
Bubbling route to strange nonchaotic attractor in a nonlinear series LCR circuit with a nonsinusoidal force
D. V. Senthilkumar, K. Srinivasan, K. Thamilmaran +1
We identify a novel route to the birth of a strange nonchaotic attractor (SNA) in a quasiperiodically forced electronic circuit with a nonsinusoidal (square wave) force as one of t…
On the complete integrability and linearization of nonlinear ordinary differential equations - Part IV: Coupled second order equations
V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
Coupled second order nonlinear differential equations are of fundamental importance in dynamics. In this part of our study on the integrability and linearization of nonlinear ordin…