Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Periodic Solutions of a Forced Relativistic Pendulum via Twist
 

Summary: Periodic Solutions of a Forced
Relativistic Pendulum via Twist
Dynamics
Stefano Mar`o
Dipartimento di Matematica - Universit`a di Torino
Via Carlo Alberto 10, 10123 Torino - Italy
e-mail: stefano.maro@unito.it
Abstract
We prove the existence of at least two geometrically different periodic
solution with winding number N for the forced relativistic pendulum.
The instability of a solution is also proved. The proof is topological
and based on the version of the Poincar´e-Birkhoff theorem by Franks.
Moreover, with some restriction on the parameters, we prove the ex-
istence of twist dynamics.
1 Introduction and statement of the main re-
sults
We are concerned with the equation of the forced relativistic pendulum
(1)
d
dt

  

Source: Arias, Cristina M. - Departamento de Matemática Aplicada, Universidad de Granada

 

Collections: Mathematics