Photo from archive.org
We apply Reeb’s theorem to prove the existence of periodic orbits in the rotating Hénon–Heiles system. To this end, a sort of detuned normal form is calculated that yields a… Click to show full abstract
We apply Reeb’s theorem to prove the existence of periodic orbits in the rotating Hénon–Heiles system. To this end, a sort of detuned normal form is calculated that yields a reduced system with at most four non degenerate equilibrium points. Linear stability and bifurcations of equilibrium solutions mimic those for periodic solutions of the original system. We also determine heteroclinic connections that can account for transport phenomena.
Keywords:
non heiles;
rotating non;
orbits rotating;
periodic orbits;
theorem periodic;
reeb theorem
Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!