Unit:
Κατεύθυνση Εφαρμοσμένα ΜαθηματικάLibrary of the School of Science
Author:
Alexandrakis Nikolaos
Supervisors info:
1) Νικόλαος Αλικάκος, Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
2) Γεράσιμος Μπαρμπάτης, Αν. Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
3) Ιωάννης Στρατής, Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Original Title:
Heteroclinic, Homoclinic and Periodic Orbits in Hamiltonian systems for critical values of energy
Translated title:
Heteroclinic, Homoclinic and Periodic Orbits in Hamiltonian systems for critical values of energy
Summary:
The problem considered is the existence of heteroclinic, homoclinic and
periodic orbits of Hamiltonian systems in the classical mechanis case where bounded
trajectories u : R \in R^{n} connect points on level sets of the potential function −W
and solve the systems : u_{xx} = W_{u}(u) − cu_{x} and u_{xx} = W_{u}(u). These level sets
considered have at most a finite number of distinct components.
Main subject category:
Science
Keywords:
Orbits, Hamiltonian, systems
