Bifurcations on elliptic functions

Citation
F. Balibrea et al., Bifurcations on elliptic functions, INT J B CH, 11(3), 2001, pp. 793-800
Citations number
11
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
11
Issue
3
Year of publication
2001
Pages
793 - 800
Database
ISI
SICI code
0218-1274(200103)11:3<793:BOEF>2.0.ZU;2-Q
Abstract
In this paper we are dealing with the dynamical properties of the Jacobian elliptic functions, cosine-amplitude and sine-amplitude. Seen as one parame ter dynamical systems, they present a flip type bifurcation at the origin. In fact they are particular cases of some general families of functions hol ding sufficient conditions we call degenerate.