TY - JOUR
T1 - On bounded and unbounded dynamics of the Hamiltonian system for unified scalar field cosmology
AU - Starkov, Konstantin E.
N1 - Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2016/5/27
Y1 - 2016/5/27
N2 - This paper is devoted to the research of global dynamics for the Hamiltonian system formed by the unified scalar field cosmology. We prove that this system possesses only unbounded dynamics in the space of negative curvature. It is found the invariant domain filled only by unbounded dynamics for the space with positive curvature. Further, we construct a set of polytopes depending on the Hamiltonian level surface that contain all compact invariant sets. Besides, one invariant two dimensional plane is described. Finally, we establish nonchaoticity of dynamics in one special case.
AB - This paper is devoted to the research of global dynamics for the Hamiltonian system formed by the unified scalar field cosmology. We prove that this system possesses only unbounded dynamics in the space of negative curvature. It is found the invariant domain filled only by unbounded dynamics for the space with positive curvature. Further, we construct a set of polytopes depending on the Hamiltonian level surface that contain all compact invariant sets. Besides, one invariant two dimensional plane is described. Finally, we establish nonchaoticity of dynamics in one special case.
KW - Compact invariant set
KW - Hamiltonian system
KW - Nonchaoticity
KW - Polytope
KW - Unbounded dynamics
KW - Unified scalar field
UR - http://www.scopus.com/inward/record.url?scp=84963985282&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2016.04.029
DO - 10.1016/j.physleta.2016.04.029
M3 - Artículo
SN - 0375-9601
VL - 380
SP - 2064
EP - 2068
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 24
ER -