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Publication Type : Journal Article
Publisher : Physics Letters, Section A: General, Atomic and Solid State Physics
Source : Physics Letters, Section A: General, Atomic and Solid State Physics, Volume 376, Number 32, p.2188-2194 (2012)
Campus : Amritapuri
School : School of Engineering
Department : Physics
Year : 2012
Abstract : Existence of amplitude independent frequencies of oscillation is an unusual property for a nonlinear oscillator. We find that a class of N coupled nonlinear Liénard type oscillators exhibit this interesting property. We show that a specific subset can be explicitly solved from which we demonstrate the existence of periodic and quasiperiodic solutions. Another set of N coupled nonlinear oscillators, possessing the amplitude independent nature of frequencies, is almost integrable in the sense that the system can be reduced to a single nonautonomous first order scalar differential equation which can be easily integrated numerically. © 2012 Elsevier B.V.
Cite this Research Publication : V. Ka Chandrasekar, Sheeba, J. Ha, Pradeep, RaGladwin, Divyasree, R. Sab, and Lakshmanan, Ma, “A class of solvable coupled nonlinear oscillators with amplitude independent frequencies”, Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 376, pp. 2188-2194, 2012.