September/October 2009 Chaotic dynamics in a simple class of Hamiltonian systems with applications to a pendulum with variable length
Lakshmi Burra, Fabio Zanolin
Differential Integral Equations 22(9/10): 927-948 (September/October 2009). DOI: 10.57262/die/1356019516

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.

Citation

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Lakshmi Burra. Fabio Zanolin. "Chaotic dynamics in a simple class of Hamiltonian systems with applications to a pendulum with variable length." Differential Integral Equations 22 (9/10) 927 - 948, September/October 2009. https://doi.org/10.57262/die/1356019516

Information

Published: September/October 2009
First available in Project Euclid: 20 December 2012

zbMATH: 1240.37039
MathSciNet: MR2553064
Digital Object Identifier: 10.57262/die/1356019516

Subjects:
Primary: 34C28

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.22 • No. 9/10 • September/October 2009
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