Noise-induced transition of atoms between dynamic phase-space attractors in a parametrically excited atomic trap

2005 ◽  
Vol 72 (5) ◽  
Author(s):  
Kihwan Kim ◽  
Myoung-Sun Heo ◽  
Ki-Hwan Lee ◽  
Hyoun-Jee Ha ◽  
Kiyoub Jang ◽  
...  
Keyword(s):  
Phase Space ◽  
Parametrically Excited ◽  
Dynamic Phase

Homoclinic orbits in the dynamic phase-space analogy of an elastic strut

1992 ◽  
Vol 3 (2) ◽  
pp. 97-114 ◽  
Author(s):  
C. J. Amick ◽  
J. F. Toland
Keyword(s):  
Phase Space ◽  
Spatial Configuration ◽  
Axial Loading ◽  
Homoclinic Orbits ◽  
Dynamical Phase ◽  
Dynamic Phase ◽  
Dimensional Dynamical System ◽  
Image Position ◽  
Nonlinear Elastic ◽  
Zero Equilibrium

The equationis a possible dimensionless version of a model for the configuration of a very long strut resting on a nonlinear elastic foundation with axial loading P. By seeking to establish the existence of homoclinic orbits connecting the zero equilibrium of (*), now regarded as defining a four dimensional dynamical system, to itself one is pursuing the so-called ‘dynamical phase-space analogy’ for the spatial configuration suggested by the form of the equation. The existence of homoclinic solutions is then interpreted as indicating the presence of spatially localized buckling of the deformed strut.

Dynamic phase transitions: Existence of “cavitation” waves

1987 ◽  
Vol 107 (1-2) ◽  
pp. 153-163 ◽  
Author(s):  
Michael Grinfeld
Keyword(s):  
Phase Transitions ◽  
Phase Space ◽  
Existence And Uniqueness ◽  
Travelling Wave ◽  
Uniqueness Theorems ◽  
Travelling Wave Solutions ◽  
Topological Methods ◽  
Wave Solutions ◽  
Dynamic Phase ◽  
Isothermal System

SynopsisIn this paper we examine the influence of capillarity on existence and uniqueness of travelling wave solutions in an isothermal system of van der Waals fluids. Existence and non-uniqueness theorems are proved using phase-space analysis and topological methods.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Leadership and member voice in action teams: Test of a dynamic phase model.

2018 ◽  
Vol 103 (1) ◽  
pp. 97-110 ◽  
Author(s):  
Crystal I. C. Farh ◽  
Gilad Chen
Keyword(s):  
Phase Model ◽  
Dynamic Phase

Phase space of mechanical systems with a gauge group

1991 ◽  
Vol 161 (2) ◽  
pp. 13-75 ◽  
Author(s):  
Lev V. Prokhorov ◽  
Sergei V. Shabanov
Keyword(s):  
Phase Space ◽  
Gauge Group ◽  
Mechanical Systems
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