Date : 18, July, 2018.

Venue :

Tokyo satellite office of Kagoshima Unviersity　
新宿サンエービル1F 1-22-2, Nishi-shinjuku Shinjuku-Ku, Tokyo, 160-0023 Japan

Organizers:

Hiroya Nakao (Tokyo Tech), Ryota Kobayashi (NII), Takaaki Aoki (Kagawa U), Shigefumi Hata (Kagoshima U)

Plenary Speaker:

• Timoteo CARLETTI(Université de Namur) [www]
  

Program:

Opening remark 9:50 - 10:00 by Hiroya Nakao.

Plenary 10:00 - 10:50

• Timoteo Carletti (U Namur, plenary)
  Turing patterns on time varying networks
  Abstract Spatially non-homogenous states (patterns) can spontaneously emerge in a multitude of Natural of human made systems. In many cases of interest, the interplay between nonlinearities and diffusion seeds a symmetry breaking instability (discovered by Turing in his pioneering work on morphogenesis) that opens the way for the emergence of a rich gallery of patchy motifs. In many relevant cases, distinct populations often interact via an intricate architecture of nested couplings, which can be adequately represented as complex heterogeneous networks. Understanding the patterns onset for networked reaction-diffusion systems is thus a major challenge. In several realms of application, the underlying networks are not static but rather evolve over time; the couplings are created, destroyed, or rewired as time goes on. Prototypical examples are contact networks with their applications to epidemic spreading. In this talk, we consider the process of patterns formation for reaction-diffusion systems anchored on networks that evolve over time. The framework we propose is general enough as to include networks that are periodically rearranged in time (both in a continuous or discontinuous way), but also nonperiodic or even stochastic time varying networks. Interestingly enough, our formalism is able to describe the oscillation death phenomenon, i.e. the possibility for an initially synchronized state to evolve towards an asymptotic inhomogeneous steady configuration, in response to an externally injected perturbation.

Session 1 : 11:00 - 12:30

• Takaaki Aoki (Kagawa University) [www]
  Cities and roads as pattern formation of their co-evolving dynamics on landscape
• Sarah de Nigris (ENS de Lyon) [www]
  Anomalous diffusion on networks: theoretical aspects and an application to machine learning
• Tomokatsu Onaga (Waseda University) [www]
  Message-passing process for epidemic dynamics on temporal networks

Lunch

Session 2 : 14:00 - 15:30

• Shigefumi Hata (Kagoshima University) [www]
  Localization of Laplacian eigenvectors on random networks
• Ryota Kobayashi (NII) [www]
  Estimating network structures of neural circuits from spike data
• Shogo Mizutaka (Ibaragi University) [www]
  Fractal network formation based on self-organized critical dynamics

Break

Session 3 : 16:00 - 17:30

• Matteo Morini (ENS de Lyon) [www]
  Diverse applications of bridgeness, the formerly novel centrality measure
• Kai Morino*, Gouhei Tanaka, Kazuyuki Aihara (University of Tokyo) [www]
  Dynamical robustness of various networks
• Hiroya Nakao (Tokyo Institute of Technology) [www]
  Phase reduction and synchronization of collectively oscillating networks

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