Recent Trends in Hamiltonian Systems
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E4: Mathematical Physics".
Deadline for manuscript submissions: 20 August 2025 | Viewed by 322
Special Issue Editor
Special Issue Information
Dear Colleagues,
The field of Hamiltonian systems is a vast subject which continues to develop in many different directions. It was historically initiated with Newtons study of two- and three-body systems, progressed through Poincaré’s studies into homoclinic behaviour and chaos, and to the present time has seen new advances in integrable systems, functional analytic techniques, normal form computations, bifurcations, variational methods and index theory. Geometric methods and the dynamical systems have been a guiding influence on this topic since the pioneering work of Poincaré and continue to provide an important context for applications to physical systems, especially N-body gravitational dynamics. In this Special Issue, we seek to bring together recent trends with theoretical as well as application-based contributions. It is hoped and intended that this will facilitate a nourishing environment for extended discussions, fostering a deep understanding through collaboration, and pushing in new directions of research into the next decade.
Dr. Dan Offin
Guest Editor
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Keywords
- stability and bifurcations of periodic orbits
- Conley–Zehnder index
- homoclinic and heteroclinic phenomena
- numerical simulation and discrete Hamiltonian systems
- N-body systems
- choreographies
- Laplace resonant chains
- integrable systems and normal forms
- equivariant variational principle
- free time minimizers
- Hamilton–Jacobi equation
- weak KAM solutions
- Lagrangian submanifolds
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