Exploring the route to measure synchronization in non-linearly coupled Hamiltonian systems

Gupta, Shraddha and De, Sadhitro and Janaki, MS and Sekar Iyengar, AN (2017) Exploring the route to measure synchronization in non-linearly coupled Hamiltonian systems. In: Chaos: An Interdisciplinary Journal of Nonlinear Science, 27 (11). ISSN 1054-1500

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Abstract

Measure Synchronization is a general term used for weak synchronization in Hamiltonian systems. Route to measure synchronization in a system of two non-linearly coupled one-dimensional oscillators, the potential of which is represented by the Pullen-Edmonds Potential is investigated on the basis of numerical computation. Transitions to measure synchronization and unsynchronization, both quasiperiodic and chaotic, are investigated and distinguished on the basis of the variation of average bare energies, average interaction energy, root-mean-square value of oscillations, phase difference, and frequencies with the coupling strength. A suitable order parameter to identify and characterize both quasiperiodic and chaotic measure synchronous states is sought, and drawbacks of the various order parameters, suggested previously, are discussed.

Item Type:	Journal Article
Publication:	Chaos: An Interdisciplinary Journal of Nonlinear Science
Publisher:	American Institute of Physics Inc.
Additional Information:	The copyright for this article belongs to the American Institute of Physics Inc.
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	02 Jun 2022 05:11
Last Modified:	02 Jun 2022 05:11
URI:	https://eprints.iisc.ac.in/id/eprint/73019

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