Differential and Integral Equations

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

Lakshmi Burra and Fabio Zanolin

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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

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019516

Mathematical Reviews number (MathSciNet)
MR2553064

Zentralblatt MATH identifier
1240.37039

Subjects
Primary: 34C28: Complex behavior, chaotic systems [See also 37Dxx]

Citation

Burra, Lakshmi; Zanolin, Fabio. Chaotic dynamics in a simple class of Hamiltonian systems with applications to a pendulum with variable length. Differential Integral Equations 22 (2009), no. 9/10, 927--948. https://projecteuclid.org/euclid.die/1356019516.


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