## Differential and Integral Equations

### Chaotic dynamics in a simple class of Hamiltonian systems with applications to a pendulum with variable length

#### Abstract

We prove the existence of chaotic dynamics in a simple Hamiltonian system of the form $\ddot{x} + q(t) f(x) = 0,$ where $q(t)$ is a periodic function of constant sign. Applications are given to a pendulum equation with variable length.

#### Article information

Source
Differential Integral Equations, Volume 22, Number 9/10 (2009), 927-948.

Dates
First available in Project Euclid: 20 December 2012

https://projecteuclid.org/euclid.die/1356019516

Mathematical Reviews number (MathSciNet)
MR2553064

Zentralblatt MATH identifier
1240.37039

Subjects