Metadata
Mathematics Any Level Analyze Hard
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Metadata

  • Subject

    Mathematics

  • Education level

    Any Level

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Hard

  • Tags

    dynamical systems, bifurcation, Hopf, saddle-node, period-doubling

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Assess the ability to analyze stability and bifurcation structure of nonlinear dynamical systems: locate and classify equilibria and limit cycles via Jacobian, eigenvalues, Lyapunov exponents; detect and characterize Hopf, saddle-node, and period-doubling bifurcations using normal forms, center-manifold/Floquet arguments; and sketch bifurcation diagrams and phase portraits.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.