1.
Phys Rev E Stat Nonlin Soft Matter Phys
; 70(6 Pt 2): 066210, 2004 Dec.
Article
in English
| MEDLINE
| ID: mdl-15697487
ABSTRACT
Nonlinear dynamics and stability properties of a cosmological model of spatially homogeneous coupled gravity and matter fields is analyzed using methods of classical mechanics. The system exhibits regions of chaos and dramatic changes in structural stability as the strength of the coupling between the fields is varied. Numerical simulations suggest that Hamiltonian systems with structure appropriate for describing matter-gravity interaction constitute a new class of nonlinear systems with very unusual and rich dynamics.