MODE INTERACTIONS WITH SPHERICAL-SYMMETRY

• Type: Article in International Scientific Journal
• Date: 1994

Authors

Sofia B. S. D. Castro (Author) FEP

Journal

Title: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Vol. 4

Pages: 885-904

ISSN: 0218-1274

Publisher: World Scientific

Indexing

ISI Web of Knowledge - 2 Citations

Other information

Authenticus ID: P-001-JSC

DOI: 10.1142/s0218127494000630

Abstract (EN): We study mode interaction steady-state bifurcation problems with spherical symmetry. Using the representation of O(3) in terms of spherical harmonics, we study the interactions of the modes of dimension 1, 3 and 5. When studying mode interactions involving the 3- and the 5-dimensional modes, we come across a very natural representation, which turns out to be that of SO(3) instead of O(3). Given that the study of problems with this latter symmetry has already been done, we then study problems with SO(3) symmetry. For all these problems, we stress the existence of secondary bifurcations giving rise to the existence of limit cycles and the occurrence of heteroclinic connections between equilibria.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20