Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance
Publication
, Journal Article
Efstathiou, K; Sadovskií, DA; Cushman, RH
Published in: Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
December 8, 2003
We consider G x R-invariant Hamiltonians H on complex projective 2-space, where G is a point group and R is the time-reversal group. We find the symmetry-induced stationary points of H and classify them in terms of their linear stability. We then determine those points that can undergo a linear Hamiltonian Hopf bifurcation.
Duke Scholars
Published In
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
DOI
EISSN
1471-2946
ISSN
1364-5021
Publication Date
December 8, 2003
Volume
459
Issue
2040
Start / End Page
2997 / 3019
Related Subject Headings
- 51 Physical sciences
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
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ICMJE
MLA
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Efstathiou, K., Sadovskií, D. A., & Cushman, R. H. (2003). Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 459(2040), 2997–3019. https://doi.org/10.1098/rspa.2003.1158
Efstathiou, K., D. A. Sadovskií, and R. H. Cushman. “Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance.” Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences 459, no. 2040 (December 8, 2003): 2997–3019. https://doi.org/10.1098/rspa.2003.1158.
Efstathiou K, Sadovskií DA, Cushman RH. Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 2003 Dec 8;459(2040):2997–3019.
Efstathiou, K., et al. “Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance.” Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, vol. 459, no. 2040, Dec. 2003, pp. 2997–3019. Scopus, doi:10.1098/rspa.2003.1158.
Efstathiou K, Sadovskií DA, Cushman RH. Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 2003 Dec 8;459(2040):2997–3019.
Published In
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
DOI
EISSN
1471-2946
ISSN
1364-5021
Publication Date
December 8, 2003
Volume
459
Issue
2040
Start / End Page
2997 / 3019
Related Subject Headings
- 51 Physical sciences
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences