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arXiv · 2103.09797

Nonlinear analysis of a classical double oscillator model

Bijan Bagchi·Dibyendu Ghosh·Lal Mohan Saha
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Abstract

A classical double oscillator model, that includes in certain parameter limits, the standard harmonic oscillator and the inverse oscillator, is interpreted as a dynamical system. We study its essential features and make a qualitative analysis of orbits around the equilibrium points, period-doubling bifurcation, time series curves, surfaces of section and Poincare maps. An interesting outcome of our findings is the emergence of chaotic behavior when the system is confronted with a periodic force term like fcosωt.

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Bijan Bagchi, Dibyendu Ghosh, Lal Mohan Saha. 2021-08-25. Nonlinear analysis of a classical double oscillator model. https://doi.org/10.9790/4861-1304030714

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