A study of the geometrical phase effect on scattering processes: Validity of the extended-Longuet–Higgins formalism for a four-fold Jahn–Teller type model system

2011 ◽  
Vol 389 (1-3) ◽  
pp. 81-87 ◽  
Author(s):  
B. Sarkar ◽  
A.J.C. Varandas
Keyword(s):  
Model System ◽  
Type Model ◽  
Phase Effect ◽  
Geometrical Phase ◽  
Jahn Teller

Synchronization and phase transition in the Frenkel–Kontorova-type model system

2012 ◽  
Vol 86 (6) ◽  
pp. 065602 ◽  
Author(s):  
Jian-Rong Zhang ◽  
Hong Jiang ◽  
Yang Yang ◽  
Wen-Shan Duan ◽  
Jian-Min Chen
Keyword(s):  
Phase Transition ◽  
Model System ◽  
Type Model

Nonclassical Correlation between Light Beams in a Jaynes-Cummings-Type Model System

1988 ◽  
Vol 5 (4) ◽  
pp. 381-381
Author(s):  
N. N Bogolubov ◽  
Fam Le Kien ◽  
A. S Shumovsky
Keyword(s):  
Model System ◽  
Type Model ◽  
Light Beams

Nuclear dynamics for a three-state Jahn–Teller model system

2012 ◽  
Vol 136 (3) ◽  
pp. 034110 ◽  
Author(s):  
Pascal Krause ◽  
Spiridoula Matsika
Keyword(s):  
Model System ◽  
Nuclear Dynamics ◽  
Jahn Teller

Practical Approach to Model Trip Chaining

1998 ◽  
Vol 1645 (1) ◽  
pp. 17-23 ◽  
Author(s):  
Yoram Shiftan
Keyword(s):  
Travel Demand ◽  
Choice Model ◽  
Academic Research ◽  
Household Survey ◽  
Model System ◽  
Destination Choice ◽  
Type Model ◽  
Trip Chaining ◽  
Model Components ◽  
At Home

The need to model trip chaining has been discussed widely in the travel demand literature, but new approaches generally have been limited to academic research. Trip chaining was modeled in an actual urban area model. The model was developed for Boise, Idaho, on the basis of a household survey of 1,600 households. For this model, a tour was defined as a sequence of trip segments that start at home and end at home. The model distinguishes between two main types of tours: A tour that includes one or more work destinations is defined as a work-related tour (WRT); all other tours are defined as nonwork-related tours (NWRT). A model system was developed by assuming the hierarchy of the model components. The highest-level model estimates auto ownership for the household. On the basis of auto ownership, the frequency of WRT is estimated, and on the basis of the frequency of WRT, the frequency of NWRT is modeled. These three model components produce the number of WRT and NWRT for each household. All subsequent models are estimated at the tour level. The WRT model system includes work destination choice model, tour type model including the number of stops on the way to and from work and midday trips, and secondary destination choice model for all nonwork destinations. The NWRT model was developed in the same way with some structural differences.

Nonclassical Correlation between Light Beams in a Jaynes-Cummings-Type Model System

1987 ◽  
Vol 4 (3) ◽  
pp. 281-285 ◽  
Author(s):  
N. N Bogolubov ◽  
Fam Le Kien ◽  
A. S Shumovsky
Keyword(s):  
Model System ◽  
Type Model ◽  
Light Beams

scholarly journals The Gestation Delay: A Factor Causing Complex Dynamics in Gause-Type Competition Models

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-21 ◽  
Author(s):  
Zizhen Zhang ◽  
Ranjit Kumar Upadhyay ◽  
Rashmi Agrawal ◽  
Jyotiska Datta
Keyword(s):  
Time Delay ◽  
Complex Dynamics ◽  
Model System ◽  
Point Of View ◽  
Model Systems ◽  
Type Model ◽  
Normal Form Theory ◽  
Center Manifold Theorem ◽  
Gestation Delay ◽  
Delayed Model

In this paper, we consider a Gause-type model system consisting of two prey and one predator. Gestation period is considered as the time delay for the conversion of both the prey and predator. Bobcats and their primary prey rabbits and squirrels, found in North America and southern Canada, are taken as an example of an ecological system. It has been observed that there are stability switches and the system becomes unstable due to the effect of time delay. Positive invariance, boundedness, and local stability analysis are studied for the model system. Conditions under which both delayed and nondelayed model systems remain globally stable are found. Criteria which guarantee the persistence of the delayed model system are derived. Conditions for the existence of Hopf bifurcation at the nonzero equilibrium point of the delayed model system are also obtained. Formulae for the direction, stability, and period of the bifurcating solution are conducted using the normal form theory and center manifold theorem. Numerical simulations have been shown to analyze the effect of each of the parameters considered in the formation of the model system on the dynamic behavior of the system. The findings are interesting from the application point of view.

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