Symmetry and bifurcations of planar configurations of the N-body and other problems

Dynamical Systems

Volumn 15, Issue 2, 2000, Pages 59-73

  Glass, Kathryn ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; EQUIVALENCE CLASSES; PROBLEM SOLVING;

CIRCLE PACKING PROBLEMS; EQUILIBRIUM SHAPE; REPELLING PARTICLES; SPHERE PACKING PROBLEMS;

BIFURCATION (MATHEMATICS);

EID: 0346108449     PISSN: 14689367     EISSN: None     Source Type: Journal    
DOI: 10.1080/713603736     Document Type: Article

References (14)

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3. Doedel, E. J., Keller, H. B., and Kerneèvez, J. P., 1991, Numerical analysis and control of bifurcation problems: (I) bifurcation in finite dimensions. International Journal of Bifurcation & Chaos, 1: 493-520.
4. Fusco, G., and Oliva, W. M., 1995, Asymptotic behaviour of a system of repelling particles: asymptotic velocities, phases, scattering operators and integrability. Proceedings of Equadiff 95 (World Scientific).
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7. Glass, K., 1997, Equilibrium configurations for a system of N particles in the plane. Physics Letters A, 235: 591-596.
8. Glass, K., 1999, Dynamics of Systems of Interacting Particles. PhD thesis, University of Cambridge.
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10. Guckenheimer, J., and Holmes, P., 1983, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Berlin: Springer-Verlag).
11. McGehee, R., 1978, Singularities in classical mechanics. Proceedings of the International Congress of Mathematicians, p. 827-834.
12. Meyer, K. R., and Schmidt, D. S., 1988, Bifurcations of relative equilibria in the N-body and Kirchhoff problems. SIAM Journal on Mathematical Analysis, 19: 1295-1312.
13. Moeckel, R. Some relative equilibria of N equal masses (unpublished).
14. Pacella, F., 1987, Central configurations and the equivariant Morse theory. Archives for Rational Mechanics and Analysis, 97: 58-74.