Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6753399 | Journal of Sound and Vibration | 2018 | 16 Pages |
Abstract
The method is applied to the linear harmonic oscillator, a couple of nonlinear oscillators, the elastic pendulum and the Henon-Heiles system. The approach is used to trace the bifurcations of the periodic solutions of the last two, being 2 degree-of-freedom systems demonstrating very rich dynamical behavior. In the process, the advantages offered by the current formulation of the energy balance is brought out. A harmonic perturbation approach is used to evaluate the stability of the solutions for the bifurcation diagram.
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Authors
Nidish Narayanaa Balaji, I.R. Praveen Krishna, C. Padmanabhan,