sYMPOSIUM #5: DYNAMICAL SYSTEMS, SPECIAL EQUATIONS AND APPLICATIONS

Helena Reis¹, Júlio C. Rebelo²

¹Faculty of Economics, University of Porto and Centre for Mathematics, University of Porto, hreis at fep.up.pt

²University of Toulouse, rebelo at math.univ-toulouse.fr

Description:

It has long been known the role played by special equations and/or systems of equations, in Physics and its applications. The interest in several aspects of this large topic has recently been renewed by the emergence of new applications or by the introduction of new ideas of dynamical origin in the analysis of well-known equations and/or functions or, indeed, by both. Some examples along this line include recently introduced dynamical systems techniques in the study of Painlevé equations and Halphen systems, new geometric constructions enabling computations of non-linear Stokes phenomena, and the use of ergodic theoretic and probabilistic methods in the study of phase-transitions. Albeit the above examples are essentially of theoretic nature, they also are of undisputed relevance in Quantum Physics and matter theory. Other recent applications of similar ideas lying closer to engineering chiefly involve the use of dynamical systems in control theory, artificial intelligence, and diagnosis algorithms. The organizers of this section welcome applications from scientists wishing to delivery an invited talk to the audience of the section in order to present original theoretic or applied research works fitting in the above described setting.