2012/04/27 by V. K. Chandrasekar, Chandrasekar, V. K., Jane H. Sheeba +7
Computer Science · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #nlin.SI
paper · pdf · doi:10.48550/arxiv.1204.6166
Accepted for publication in Physics Letters A
arxiv created 2012/04/27 · openalex publication_date 2012/04/27 · arxiv updated 2012/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.