With this proposal we intend to create a Research Network in dynamics and synchronization of complex networks. The main goal is to increase the interaction between theoretical and experimental groups to obtain the maximum performance of both perspectives. The network members are renowned national groups in the study of dynamical systems, complex networks, experimentation with biological systems and analysis of brain activity. The proposal wants to reinforce the contacts already initiated through the previous IberSync initiative, funded along the years 2011-2012 by the Program for Complementary Actions 2010. IberSinc was a major boost for the interaction among participants, following in numerous joint publications. In the current proposal, the Research Network plans to articulate a sequence of actions (annual meeting, courses, exchange of researchers, seminars, website, shared databases, publishing a book) aimed at increasing collaboration between groups, to disseminate results and optimize theoretical and experimental resources. It is also planned to open up our activities to the private sector participants who have shown their interest in the potential results obtained within IberSinc, in order to promote the transfer of research results and to create new professional opportunities to the researchers trained within IberSinc.

• Nonlinear photonics:
  dynamics of semiconductor lasers, optical instabilities and chaos.
  
• Nonlinear dynamics:
  excitability, multi-stability, stochastic phenomena, applications.
  
• Complex systems:
  synchronization phenomena (lasers, neurons), delay-induced phenomena, complex networks, brain networks, climate networks.
  
• Data analysis:
  nonlinear time-series analysis, symbolic analysis, extreme events, information theory, entropy and complexity measures.
  

Development of methods and analysis of complex systems.

Until recently, the focus was on networks in which all components could be considered as equivalent, obviating any additional properties of temporary or context. In recent years, the analysis of real data networks has highlighted the importance of the multiple nature of the networks have in their role, and now the latest research consider explicitly the variable nature over time and multiple types of interaction, to understand how these factors affect processes and dynamics that occur in the network.

Experimental applications in biological and physical systems.

-  Synchronization and dynamics cellular.
-  Synchronization models of networks of neurons in vitro.
-  Functional brain networks.
-  Applications through electronic circuits and semiconductor lasers.