Description
This is the official web site of the PRIN Project "Stability in Hamiltonian Dynamics and Beyond", funded by the Ministry of Education, University and Scientific Research of Italy with Project code 2022FPZEES. It will serve as the central hub for all communications related to the project, including descriptions of the research and its researchers, results, events, etc.
The core of the PRIN Project is concerned with some of the most important theoretical aspects in the study of Hamiltonian systems and their stability properties, as well as with the urgent and timely quest for extending this analysis and the available tools beyond the current range of applicability.
In particular, we focus on four cutting-edge lines of research:
Transition from integrability.
Billiards as prototypical models.
Singular Hamiltonian systems.
Beyond the Hamiltonian realm.
The connection among these problems is twofold. On the one hand, they are all motivated by the quest for a better understanding of the dynamical and stability properties of Hamiltonian systems (and beyond), a subject that has a long-established tradition and has been recently boosted by important breakthroughs, including some by members of the team. On the other hand, the methods that we plan to apply provide natural links among them.
This PRIN Project consolidate a network of 4 internationally recognized Italian research groups in Hamiltonian dynamics, dynamical systems, and geometric mechanics, each contributing with their different and complementary expertise. Due to the interdisciplinary nature, in fact, advances in these subjects require the synergy among different points of view and the combination of diverse techniques, conditions that are hardly available at the level of a single research unit.
The PRIN Project is active from 2023 to 2026.
The core of the PRIN Project is concerned with some of the most important theoretical aspects in the study of Hamiltonian systems and their stability properties, as well as with the urgent and timely quest for extending this analysis and the available tools beyond the current range of applicability.
In particular, we focus on four cutting-edge lines of research:
Transition from integrability.
Billiards as prototypical models.
Singular Hamiltonian systems.
Beyond the Hamiltonian realm.
The connection among these problems is twofold. On the one hand, they are all motivated by the quest for a better understanding of the dynamical and stability properties of Hamiltonian systems (and beyond), a subject that has a long-established tradition and has been recently boosted by important breakthroughs, including some by members of the team. On the other hand, the methods that we plan to apply provide natural links among them.
This PRIN Project consolidate a network of 4 internationally recognized Italian research groups in Hamiltonian dynamics, dynamical systems, and geometric mechanics, each contributing with their different and complementary expertise. Due to the interdisciplinary nature, in fact, advances in these subjects require the synergy among different points of view and the combination of diverse techniques, conditions that are hardly available at the level of a single research unit.
The PRIN Project is active from 2023 to 2026.
