List of authors > Oda Gisele Akemi

Topological changes and synchronization phenomena in a phase oscillator model motivated by jet-lag and social jet-lag problems
Flávia M. Ruziska Hirata  1@  , Iberê Luiz Caldas  1@  , Gisele Akemi Oda  2@  
1 : Institute of Physics, University of São Paulo  (IFUSP)  -  Website
Universidade, R. do Matão, 1371 - Butantã, São Paulo - SP, 05508-090 -  Brazil
2 : Institute of Biosciences, University of São Paulo  (IB-USP)  -  Website
Rua do Matão, trav. 14, No. 321, University City, São Paulo - SP, CEP: 05508-090 -  Brazil

We analyzed the topological changes and the synchronization phenomena in a phase oscillators model, which reproduce qualitatively the experimental results about the behavior of mice under jet-lag conditions (recover from one abrupt change in the light input) for different levels of coupling between the neurons [1]. We considered a light input of one time zone for ld days and of another time zone for (7 - ld) days in order to emulate something analogous to the artificial light stimulus of people who suffer from social jet-lag. We found in the parameter space regions with bifurcations, bistability, period doubling and chaos, but in the majority of the space parameter the solutions are periodic. Also, due the high non-linearity of the model, in some specific regions of the parameter space there is a counter intuitive phenomenon: the individual spends more time in the week under a light stimulus A than B, and yet is better synchronized with the light stimulus B.

[1] Y. Yamaguchi, T. Suzuki, Y. Mizoro, H. Kori, K. Okada, Y. Chen, J.-M. Fustin, F. Yamazaki, N. Mizuguchi, J. Zhang, X. Dong, G. Tsujimoto, Y. Okuno, M. Doi, and H. Okamura, “Mice genetically deficient in vasopressin v1a and v1b receptors are resistant to jet lag”, Science 342, 85–90 (2013).


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