scholarly journals Bifurcation analysis of pattern formation in a two-dimensional hybrid reaction–transport model

2020 ◽  
Vol 402 ◽  
pp. 132274
Author(s):  
Sam R. Carroll ◽  
Heather Z. Brooks ◽  
Paul C. Bressloff
Keyword(s):  
Pattern Formation ◽  
Bifurcation Analysis ◽  
Transport Model ◽  
Two Dimensional ◽  
Reaction Transport

scholarly journals Numerical bifurcation analysis of the pattern formation in a cell based auxin transport model

2012 ◽  
Vol 67 (5) ◽  
pp. 1279-1305 ◽  
Author(s):  
Delphine Draelants ◽  
Jan Broeckhove ◽  
Gerrit T. S. Beemster ◽  
Wim Vanroose
Keyword(s):  
Pattern Formation ◽  
Bifurcation Analysis ◽  
Auxin Transport ◽  
Transport Model ◽  
A Cell ◽  
Numerical Bifurcation ◽  
Numerical Bifurcation Analysis

BIFURCATION SCENARIO OF A THREE-DIMENSIONAL VAN DER POL OSCILLATOR

1993 ◽  
Vol 03 (02) ◽  
pp. 399-404 ◽  
Author(s):  
T. SÜNNER ◽  
H. SAUERMANN
Keyword(s):  
Bifurcation Diagram ◽  
Bifurcation Analysis ◽  
Chaotic Behavior ◽  
Three Dimensional ◽  
Global Bifurcation ◽  
Dynamical Behaviour ◽  
Van Der Pol Oscillator ◽  
Two Dimensional ◽  
Van Der Pol ◽  
Dimensional Models

Nonlinear self-excited oscillations are usually investigated for two-dimensional models. We extend the simplest and best known of these models, the van der Pol oscillator, to a three-dimensional one and study its dynamical behaviour by methods of bifurcation analysis. We find cusps and other local codimension 2 bifurcations. A homoclinic (i.e. global) bifurcation plays an important role in the bifurcation diagram. Finally it is demonstrated that chaos sets in. Thus the system belongs to the few three-dimensional autonomous ones modelling physical situations which lead to chaotic behavior.

scholarly journals Oxygen consumption rates in subseafloor basaltic crust derived from a reaction transport model

2013 ◽  
Vol 4 (1) ◽  
Author(s):  
Beth N. Orcutt ◽  
C. Geoffrey Wheat ◽  
Olivier Rouxel ◽  
Samuel Hulme ◽  
Katrina J. Edwards ◽  
...  
Keyword(s):  
Oxygen Consumption ◽  
Transport Model ◽  
Consumption Rates ◽  
Reaction Transport ◽  
Basaltic Crust

scholarly journals Glyphosate Transport in Two Louisiana Agricultural Soils: Miscible Displacement Studies and Numerical Modeling

Soil Systems ◽  
2018 ◽  
Vol 2 (3) ◽  
pp. 53 ◽  
Author(s):  
Joshua Padilla ◽  
H. Selim
Keyword(s):  
Transport Model ◽  
Agricultural Soils ◽  
Exchange Capacity ◽  
Miscible Displacement ◽  
Soil Environment ◽  
Linear Modeling ◽  
Primary Metabolite ◽  
Aminomethylphosphonic Acid ◽  
Displacement Experiments ◽  
Reaction Transport

Glyphosate (N-(phosphonomethyl) glycine) (GPS) is currently the most commonly used herbicide worldwide, and is generally considered as immobile in soils. However, numerous reports of the environmental occurrence of the herbicide coupled with recent evidence of human toxicity necessitate further investigation as to the behavior of GPS in the soil environment. Batch sorption studies along with miscible displacement experiments were carried out in order to assess the mobility of GPS in two Louisiana agricultural soils; Commerce silt loam and Sharkey clay. Batch results indicated a high affinity of both soils for solvated GPS, with greater affinity observed by the Sharkey soil. GPS sorption in the Commerce soil was most likely facilitated by the presence of amorphous Fe and Al oxides, whereas the high cation exchange capacity of the Sharkey soil likely allows for GPS complexation with surface exchangeable poly-valent cations. Miscible displacement studies indicate that GPS mobility is highly limited in both soils, with 3% and 2% of the applied herbicide mass recovered in the effluent solution from the Commerce and Sharkey soils, respectively. A two-site multi-reaction transport model (MRTM) adequately described GPS breakthrough from both soils and outperformed linear modeling efforts using CXTFIT. Analysis of extracted herbicide residues suggests that the primary metabolite of GPS, aminomethylphosphonic acid (AMPA), is more mobile in both soils, although both compounds are strongly retained.

scholarly journals Two-dimensional colloidal fluids exhibiting pattern formation

2015 ◽  
Vol 143 (24) ◽  
pp. 244904 ◽  
Author(s):  
Blesson Chacko ◽  
Christopher Chalmers ◽  
Andrew J. Archer
Keyword(s):  
Pattern Formation ◽  
Two Dimensional ◽  
Colloidal Fluids
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