Published May 1, 2013
| Version v1
Journal article
High energy rotation type solutions of the forced pendulum equation
- 1. Departamento de Ingeniería Matemática and Centro de Modelamiento, Matemático, UMI 2807 CNRS-UChile, Universidad de Chile, Blanco Encalada 2120, 5
- 2. UPMC Univ Paris 06, UMR 7598 Laboratoire Jacques-Louis Lions, F-75005, Paris (France)
- 3. Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555 (Japan)
Description
In this article we study the existence and asymptotic profiles of high-energy rotation type solutions of the singularly perturbed forced pendulum equation We prove that the asymptotic profile of these solutions is described in terms of an energy function which satisfy an integro-differential equation. Also we show that given a suitable energy function E satisfying the integro-differential equation, a family of solutions of the pendulum equation above exists having E as the asymptotic profile, when ε → 0. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/26/5/1473Additional details
Identifiers
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 26
- Journal Issue
- 5
- Journal Page Range
- p. 1473-1499
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46002266
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; EQUATIONS OF MOTION; INTEGRO-DIFFERENTIAL EQUATIONS; MECHANICAL VIBRATIONS; OSCILLATIONS; ROTATION; TIME MEASUREMENT
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; MOTION; PARTIAL DIFFERENTIAL EQUATIONS