Organization of Sequences of Bifurcations of Periodic Orbits

D. A. Sadovskií; J. A. Shaw; J. B. Delos

doi:10.1103/PhysRevLett.75.2120

Organization of Sequences of Bifurcations of Periodic Orbits

D. A. Sadovskií, J. A. Shaw, and J. B. Delos

Phys. Rev. Lett. 75, 2120 – Published 11 September 1995

Abstract

Numerical calculations have shown that bifurcations of periodic orbits of Hamiltonian systems often occur in organized groups. Normal-form theory provides an explanation.

Received 13 April 1995

DOI:https://doi.org/10.1103/PhysRevLett.75.2120

Authors & Affiliations

D. A. Sadovskií^1,2,3, J. A. Shaw¹, and J. B. Delos^1,2

¹Department of Physics, College of William & Mary, Williamsburg, Virginia 23187-8795
²Joint Institute for Laboratory Astrophysics, University of Colorado, Boulder, Colorado 80309-0440
³Université du Littoral, Quai Freycinet 1, B.P. 5526, 59379 Dunkerque Cedex 1, France