Chaos in a coupled oscillators system with widely spaced frequencies and energy-preserving non-linearity |
| |
Authors: | JM Tuwankotta |
| |
Institution: | Departemen Matematika, Bandung Institute of Technology, Jl. Ganesha no. 10, Bandung, Indonesia |
| |
Abstract: | This paper is a sequel to Tuwankotta Widely separated frequencies in coupled oscillators with energy-preserving nonlinearity, Physica D 182 (2003) 125-149.], where a system of coupled oscillators with widely separated frequencies and energy-preserving quadratic non-linearity is studied. We analyze the system for a different set of parameter values compared with those in Tuwankotta Widely separated frequencies in coupled oscillators with energy-preserving nonlinearity, Physica D 182 (2003) 125-149.]. In this set of parameters, the manifold of equilibria are non-compact. This turns out to have an interesting consequence to the dynamics. Numerically, we found interesting bifurcations and dynamics such as torus (Neimark-Sacker) bifurcation, chaos and heteroclinic-like behavior. The heteroclinic-like behavior is of particular interest since it is related to the regime behavior of the atmospheric flow which motivates the analysis in Tuwankotta Widely separated frequencies in coupled oscillators with energy-preserving nonlinearity, Physica D 182 (2003) 125-149.] and this paper. |
| |
Keywords: | Coupled-oscillators Bifurcation Strange attractor Chaos |
本文献已被 ScienceDirect 等数据库收录! |
|