معرفی
Pavao Mardesic is a Lecturer with HDR (Habilitation à Diriger des Recherches) at the University of Burgundy, France. He is affiliated with the Institute of Mathematics of Burgundy (IMB) within the Department of Mathematics in the Faculty of Science and Technology. His office is located in the Mirande Building, Wing A, Office 223, and he is a core member of the "Geometry, Algebra, Dynamics and Topology" research team.
Dr. Mardesic's research focuses on dynamical systems, with particular expertise in Hamiltonian systems, topology, and mathematical physics. His work addresses fundamental problems in singularity theory, bifurcation analysis, and the study of limit cycles related to Hilbert's 16th problem. He has developed innovative approaches using fractal analysis of orbits, epsilon-neighborhoods, and Melnikov functions to understand the behavior of dynamical systems.
His publication record shows a consistent research trajectory from foundational work on Abelian integrals and limit cycles to more recent investigations of fractal zeta functions, spectral properties, and geometric mechanics. Mardesic has made significant contributions to understanding the tennis racket effect, monodromy in Hamiltonian systems, and the connection between fractal geometry and dynamical behavior. His work bridges pure mathematics with applications in physics, particularly in the study of rotational dynamics and quantum mechanical systems.
Dr. Mardesic has published extensively since the early 2000s, with his most recent work extending to 2025. His research demonstrates sophisticated mathematical techniques applied to classical problems in dynamical systems, showing particular strength in analyzing parabolic diffeomorphisms, Dulac maps, and the geometric properties of rigid body rotation.
