Department of Physics

Indian Institute Of Technology Madras , Chennai

A Simplicial Study of Time Series-Networks



Abstract :

Time series-networks are network representations of time series from dynamical systems. They allow investigation of a given system using complex network techniques. Such investigations have been carried out in the past, for example in [1-3]. These studies have attempted to characterize given time series using standard network metrics. In our study, we consider the derived time series-network as a simplicial structure [4]. This allows us to look at the time series-network at different complexity levels. We carry out our analysis using logistic map time series, as it is a very well known system.

[1] J. Zhang and M. Small. Complex Network from Pseudoperiodic Time Series: Topology versus Dynamics. Phys. Rev. Lett. 96, 238701 (2006).
[2] N. Marwan, J. F. Donges, Y. Zou, R. V. Donner, and J. Kurths. Complex network approach for recurrence analysis of time series. Phys. Lett. A. 373, 4246 (2009).
[3] A. S. L. O. Campanharo, M. I. Sirer, R. D. Malmgren, F. M. Ramos, and L. A. N. Amaral. Duality between Time Series and Networks. PloS ONE 6(8), e23378 (2011).
[4] N. Gupte, N. N. Thyagu, and M. Chutani. The Simplicial Characterization of TS Networks: Theory and Applications. Proceedings of the 4th International Conference on Applications in Nonlinear Dynamics (ICAND 2016) p. 289.

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Place Conference Room
Start Time 3:00 PM
Finish Time 4:00 PM
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