Metadata
Science Graduate Analyze Hard-
Subject
Science
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Education level
Graduate
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Cognitive goals
Analyze
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Difficulty estimate
Hard
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Tags
reaction-diffusion, cross-diffusion, Turing instability, bifurcation, weakly nonlinear analysis, numerical continuation
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Number of questions
5
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Created on
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Generation source
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License
CC0 Public domain
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Prompt
Assess students' ability to analyze linear stability and bifurcation structure of reaction–diffusion systems with cross‑diffusion and nonlinear kinetics. Expect derivation of dispersion relations and Turing instability conditions including cross‑diffusion terms, weakly nonlinear amplitude equations to classify super/subcritical bifurcations, use of numerical continuation to track solution branches and identify codimension‑two points, and interpretation of pattern selection as parameters vary.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.