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- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Dynamical Systems and Ergodic Theory
- ISSN
- 1560-3547
- eISSN
- 1468-4845
- DOI
- 10.1134/S1560354717040050
- Publisher site
- See Article on Publisher Site
Abstract
We apply Arnold’s theory of generic smooth plane curves to Stark–Zeeman systems. This is a class of Hamiltonian dynamical systems that describes the dynamics of an electron in an external electric and magnetic field, and includes many systems from celestial mechanics. Based on Arnold’s J +-invariant, we introduce invariants of periodic orbits in planar Stark–Zeeman systems and study their behavior.
Journal
Regular and Chaotic Dynamics – Springer Journals
Published: Aug 3, 2017