Phys. Rev. D 65, 081501(R) (2002) [4 pages]New transition between discrete and continuous self-similarity in critical gravitational collapse
We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) σ models. As the dimensionless coupling constant decreases, the critical solution changes from discretely self-similar (DSS) to continuously self-similar (CSS). Numerical results provide evidence for a bifurcation which is analogous to a heteroclinic loop bifurcation in dynamical systems, where two fixed points (CSS) collide with a limit cycle (DSS) in phase space as the coupling constant tends to a critical value. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.081501
DOI:
10.1103/PhysRevD.65.081501
PACS:
04.25.Dm, 04.70.Bw
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.