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Section DYNAMICS IN LIFE SCIENCES, NEUROSCIENCE APPLICATIONS WORKSHOP
Contrary to the traditional approach in our study we mainly focus on the theoretical and quantitative description as well as on the experimental measurement of the concrete relevant factor of the brain activity, namely, on the noise intensity characterizing the stochastic processes in the brain. Based on the methods of statistical physics, we develop a theory which helped us to derive the analytical (not empirical) expression for the experimental data and measure the noise intensity characterizing the stochastic processes in the brain. Also EEG recording volunteers were studied on the wavelet base [7]. Investigations have allowed revealing characteristic patterns for the perception of the Necker cube with different parameter I. The developed theory provides the solid experimentally approved basis for further understanding of brain functionality. We expect that our work will be interesting and useful for scientists carrying out interdisciplinary research at the cutting edge of physics, neurophysiology and medicine.
Acknowledgements
This work has been supported by the Russian Science Foundation (grant 16-12-10100). References
1. J.-L. Schwarte, et al. Physophical Transactions of the Royal Society B 367, 896 (2012).
2. R. Cao, J. Braun, and M. Mattia, Physical Review Letters 113, 098103 (2014).
3. D. A. Leopold and N. K. Logothetis, Trends in Cognitive Sciences 3, 254 (1999).
4. A. N. Pisarchik, et al. Biological Cybernetics 108, 397 (2014).
5. P. Sterzer, A. Kleinschmidt, and G. Rees, Trends in Cognitive Sciences 13, 310 (2009).
6. R. Moreno-Bote, J. Rinzel, and N. Rubin, Journal of Neurophysiology 98, 1125 (2007).
7. A. E. Hramov, et al. Wavelets in Neuroscience, Springer Series in Synergetics (Springer, Heidelberg, New York, Dordrecht, London, 2015).
OM&P
Chimeralike States in a Network of Oscillators
P.K.Roy1 *, A. Mishra2'3, C. Hens4, M. Bose2, S, K. Dana2
1 Presidency University, Kolkata, India;
2 NCSIR-Indian Institute of Chemical Biology, Kolkata, India;
3 Jadavpur University, Kolkata, India;
4 Bar Ilan University, Ramat Gan, Israel. * Presenting e-mail: [email protected]
We report chimeralike states in an ensemble of oscillators using a type of global coupling consisting of two components: attractive and repulsive mean-field feedback. We identify the existence of two types of chimeralike states in a bistable Li'enard system; in one type, both the coherent and the incoherent populations are in chaotic states (which we refer to as chaos-chaos chimeralike states) and, in another type, the incoherent population is in periodic state while the coherent population has irregular small oscillation. We find a metastable state in a parameter regime of the Li'enard system where the coherent and noncoherent states migrate in time from one to another subpopulation. The relative size of the incoherent subpopulation, in the chimeralike states, remains almost stable with increasing size of the network. The generality of the coupling configuration in the origin of the chimeralike states is tested, using a second example of bistable system, the van der Pol-Duffing oscillator where the chimeralike states emerge as weakly chaotic in the coherent subpopulation and chaotic in the incoherent subpopulation. Furthermore, we apply the coupling, in a simplified form, to form a network of the chaotic R'ossler system where both the noncoherent and the coherent subpopulations show chaotic dynamics.
Acknowledgements
S.K.D. and P.K.R. acknowledge individual support by the CSIR (India) under the Emeritus Scientist Scheme. References
1. A. Mishra, C. R. Hens, M.Bose, P. K. Roy, S. K. Dana, Chimeralike states in a network of oscillators under attractive and repulsive global coupling, Phys. Rev. 2015 E 92, 062920
2. C. R. Hens, A Misra, P. K. Roy, A. Sen and S. K. Dana, Chimera states in a population of identical oscillators under planar cross-coupling, PRAMANA- J Phys 2015, 84, 229
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