scholarly journals Weak attractors and invariant sets in Lorenz model

2011 ◽  
Vol 24 (2) ◽  
pp. 271-280 ◽  
Author(s):  
Ilhem Djellit ◽  
Amel Hachemi-Kara
Keyword(s):  
Numerical Simulations ◽  
Parameter Space ◽  
Complex Dynamics ◽  
Invariant Sets ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Lorenz Model ◽  
Two Dimensional Model

A two-dimensional model is analyzed. It reflects the dynamics occurring in discrete Lorenz model. Invariant sets are analytically detected and the parameter space is investigated in order to classify completely regions of existence of stable 2-cycles, and regions associated with chaotic behaviors. This paper describes complex dynamics of invariant sets and weak attractors according to Tsybulin and Yudovich idea. These sets are displayed by numerical simulations.

scholarly journals Rayleigh-Bénard convection of a model emulsion: anomalous heat-flux fluctuations and finite-size droplets effects

Soft Matter ◽  
2021 ◽  
Author(s):  
Francesca Pelusi ◽  
Mauro Sbragaglia ◽  
Roberto Benzi ◽  
Andrea Scagliarini ◽  
Massimo Bernaschi ◽  
...  
Keyword(s):  
Heat Flux ◽  
Numerical Simulations ◽  
Finite Size ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Two Dimensional Model ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard ◽  
Model Emulsion ◽  
Anomalous Heat

We present mesoscale numerical simulations of Rayleigh-Bénard (RB) convection in a two-dimensional model emulsion. The systems under study are constituted of finite-size droplets, whose concentration Ψ0 is systematically varied from...

Commitment to pro- versus counter-attitudinal behavior and the dynamics of social representations

2002 ◽  
Vol 61 (1) ◽  
pp. 34-44 ◽  
Author(s):  
Eric Tafani ◽  
Lionel Souchet
Keyword(s):  
Higher Education ◽  
Social Representations ◽  
Cognitive Restructuring ◽  
Social Representation ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Social Actions ◽  
The Social ◽  
Two Dimensional Model ◽  
Students Attitudes

This research uses the counter-attitudinal essay paradigm ( Janis & King, 1954 ) to test the effects of social actions on social representations. Thus, students wrote either a pro- or a counter-attitudinal essay on Higher Education. Three forms of counter-attitudinal essays were manipulated countering respectively a) students’ attitudes towards higher education; b) peripheral beliefs or c) central beliefs associated with this representation object. After writing the essay, students expressed their attitudes towards higher education and evaluated different beliefs associated with it. The structural status of these beliefs was also assessed by a “calling into question” test ( Flament, 1994a ). Results show that behavior challenging either an attitude or peripheral beliefs induces a rationalization process, giving rise to minor modifications of the representational field. These modifications are only on the social evaluative dimension of the social representation. On the other hand, when the behavior challenges central beliefs, the same rationalization process induces a cognitive restructuring of the representational field, i.e., a structural change in the representation. These results and their implications for the experimental study of representational dynamics are discussed with regard to the two-dimensional model of social representations ( Moliner, 1994 ) and rationalization theory ( Beauvois & Joule, 1996 ).

Sign in / Sign up

Export Citation Format

Share Document