Prerequisites for Nonlinear Dynamics and Chaos Fundamentals

Direct prerequisites (2)

1. Classical ODEs: Existence, Stability, and Numerical Methodslayer 1, tier 1
2. Eigenvalues and Eigenvectorslayer 0A, tier 1

Reachable through the chain (11)

These topics are not directly cited as prerequisites but are reached transitively by following the chain upward. Working through the direct prerequisites pulls these in.

• Continuity in Rⁿlayer 0A, tier 1
• Metric Spaces, Convergence, and Completenesslayer 0A, tier 1
• Sets, Functions, and Relationslayer 0A, tier 1
• Basic Logic and Proof Techniqueslayer 0A, tier 2
• The Jacobian Matrixlayer 0A, tier 1
• Differentiation in Rⁿlayer 0A, tier 1
• Vectors, Matrices, and Linear Mapslayer 0A, tier 1
• Matrix Operations and Propertieslayer 0A, tier 1
• Linear Independencelayer 0A, tier 1
• Inner Product Spaces and Orthogonalitylayer 0A, tier 1
• Matrix Normslayer 0A, tier 1