Synchronization, phase slips, and coherent structures in area-preserving maps

Conference paper

Swetamber Das, Sasibhusan Mahata, Neelima Gupte
Proceedings of the Conference on Perspectives in Nonlinear Dynamics - 2016, vol. 1, Indian Academy of Sciences Conference Series, 2017, pp. 205-212

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APA Click to copy
Das, S., Mahata, S., & Gupte, N. (2017). Synchronization, phase slips, and coherent structures in area-preserving maps. In Proceedings of the Conference on Perspectives in Nonlinear Dynamics - 2016 (Vol. 1, pp. 205–212). Indian Academy of Sciences Conference Series.

Chicago/Turabian Click to copy
Das, Swetamber, Sasibhusan Mahata, and Neelima Gupte. “Synchronization, Phase Slips, and Coherent Structures in Area-Preserving Maps.” In Proceedings of the Conference on Perspectives in Nonlinear Dynamics - 2016, 1:205–212. Indian Academy of Sciences Conference Series, 2017.

MLA Click to copy
Das, Swetamber, et al. “Synchronization, Phase Slips, and Coherent Structures in Area-Preserving Maps.” Proceedings of the Conference on Perspectives in Nonlinear Dynamics - 2016, vol. 1, Indian Academy of Sciences Conference Series, 2017, pp. 205–12.

BibTeX Click to copy

@inproceedings{das2017a,
  title = {Synchronization, phase slips, and coherent structures in area-preserving maps},
  year = {2017},
  pages = {205-212},
  publisher = {Indian Academy of Sciences Conference Series},
  volume = {1},
  author = {Das, Swetamber and Mahata, Sasibhusan and Gupte, Neelima},
  booktitle = {Proceedings of the Conference on Perspectives in Nonlinear Dynamics - 2016},
  howpublished = {https://www.ias.ac.in/describe/article/conf/001/01/0205-0212}
}

Abstract

The problem of synchronization of coupled Hamiltonian systems exhibits interesting features due to the non-uniform or mixed nature (regular and chaotic) of the phase space. We study these features by investigating the synchronization of unidirectionally coupled area-preserving maps coupled by the Pecora–Carroll method. We find that coupled standard maps show complete synchronization for values of the nonlinearity parameter at which regular structures are still present in phase space. The distribution of synchronization times has a power law tail indicating long synchronization times for at least some of the synchronizing trajectories. With the introduction of coherent structures using parameter perturbation in the system, this distribution crosses over to exponential behavior, indicating shorter synchronization times, and the number of initial conditions which synchronize increases significantly, indicating an enhancement in the basin of synchronization. On the other hand, coupled blinking vortex maps display both phase synchronization and phase slips, depending on the location of the initial conditions. We discuss the implication of our results.

Swetamber Das

Synchronization, phase slips, and coherent structures in area-preserving maps

Conference paper

Cite

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