Stable quasiperiodic solutions in the Hopf bifurcation with D4 ⋉ T2 symmetry

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 262, Issue 2-3, 1999, Pages 158-165

  Dawes, J H P ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Quasiperiodic solutions; Symmetric bifurcation theory

Indexed keywords

ATTRACTING SET; CROSS-ROLLS; NORMAL FORM; PERIODIC SOLUTION; QUASI-PERIODIC SOLUTION; SYMMETRIC BIFURCATION;

HOPF BIFURCATION;

EID: 0007348977     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(99)00653-2     Document Type: Article

References (5)

1. M. Silber, E. Knobloch, Nonlinearity 4 (1991) 1063.
2. M. Golubitsky, I.N. Stewart, D.G. Schaeffer, Singularities and Groups in Bifurcation Theory. Volume II. Springer, Applied Mathematical Sciences Series 69 (1988).
3. J. Swift, Nonlinearity 1 (1988) 333.
4. J.H.P. Dawes, The 1:√2 Hopf/steady-state mode interaction in three-dimensional magnetoconvection. submitted to Physica D
5. E. Doedel, A. Champneys, T. Fairgrieve, Y. Kusnetsov, B. Sandstede, X. Wang AUTO97: Continuation and bifurcation software for ordinary differential equations. Available via FTP from directory pub/doedel/auto at ftp.cs.concordia.ca (1997)