PI (U. Sevilla): Tomás Caraballo Garrido
co-PI (U. Sevilla): José Antonio Langa Rosado
Abstract: The main aims of this project can be classified into two main groups. On the one hand, we will continue investigating and developing the challenging issues which still have to be undertaken in the theoretical aspects of the fields of non-autonomous and stochastic dynamical systems, especially on the asymptotic behaviour of dynamical systems (deterministic and stochastic) by analyzing the existence and geometrical structure of their attracting and invariant sets/manifolds, some bifurcation scenarios, etc, taking into account the possibility that the problems can exhibit some additional feature (can contain delay or memory in their formulations–very likely to happen in many real situations; may not have uniqueness of solutions, possessing random or stochastic terms; experiencing some sudden jumps or impulses on the behaviour, etc).
On the other hand, we will tackle more risky and challenging research directions. More precisely, we plan to go deeper and further in the development of the current applied research directions that we are considering now, and to initiate some new lines of investigation which can be very useful and helpful in some interesting and important problems from Neuroscience, Epidemiology, Biology and some other branches from the applied sciences.
Source of Funding: Proyectos I+D+i FEDER Andalucía 2014-2020
Implied entities: Universidad de Sevilla, Universidad de Jaén, Universidad de Milán (Italia), Universidad de Aurburn (EEUU), Universidad de Wisconsin (EEUU), Universidad de Sao Paulo (Brasil), Universidad de Jena (Alemania), Universidad Miguel Hernández, Universidad Politécnica de Madrid, Universidad degli Studi de Ancona (Italia), Universidad de Cracovia (Polonia).
iMAT research line: RL2. Modeling of Biological Systems & Health
RL9. Dynamical Systems
Researchers:
Francisco José Esteban Ruiz
Inmaculada Gayte Delgado
Pedro Marín Rubio
María del Rosario Navarro Solano
Clara Romero Pérez
Fernando Soler Toscano
Collaborators:
Larissa Albantakis
Alexandre Nolasco Carvalho
Cecilia Cavaterra
Renato Colucci
Mónica Conti
Carmen Echevarria Ruiz de Vargas
Javier Alejandro Galadí García
Xiaoying Han
Piotr Kalita
Peter Eris Kloeden
Linfang Liu
Javier Lopez de La Cruz
Antonio Miguel Márquez Durán
Marcello Massimini
Jorge Navarro Solano
Luis Felipe Rivero Garvía
Björn Schmalfuss
Giulio Tononi
José Valero Cuadra
Jiaohui Xu