Abstract
Very simple examples of Hamiltonian systems in two degrees of freedom lead to NVE of Lamé type, equation (2.16),
where P denotes the Weierstrass function and A and B are, in general, complex parameters. It is assumed, in what follows, that the roots of the polynomial f associated to P are simple (otherwise P is reduced to elementary functions). This is ensured if the discriminant
is non-zero, where g2 and g3 are the associated invariants (see Chapter 2).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Basel AG
About this chapter
Cite this chapter
Ruiz, J.J.M. (1999). An Application of the Lamé Equation. In: Differential Galois Theory and Non-Integrability of Hamiltonian Systems. Progress in Mathematics, vol 179. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8718-2_6
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8718-2_6
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9741-9
Online ISBN: 978-3-0348-8718-2
eBook Packages: Springer Book Archive