ch09 - Chapter Review Sheets for Elementary Differential...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter Review Sheets for Elementary Differential Equations and Boundary Value Problems, 8e Chapter 9: Nonlinear Differential Equations and Stability Definitions: Equilibrium Solutions Critical Points Trajectory Phase P1ane, Phase Portrait Node; Nodal Sink, Nodal Source, Saddle Point, Proper Node, (Star Point) Improper Node, (Degenerate Node), Spiral Sink, Spiral Source, Autonomous Stable, Unstable Isolated Critical Point, Almost Linear System, Basis of attraction Globally asymptotically stable Region of Asymptotic Stability, Nullclines Separatrix Liapunov's Method Positive Definite, Negative Definite, Positive Semidefinite, Negative Semidefinite Limit Cycle Asymptotically Stable Strange attractors Chaotic system/equation Theorems: Theorem 9.3.1: Stability of critical points of linear systems dependence on eigenvalues. Theorem 9.3.2:
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

ch09 - Chapter Review Sheets for Elementary Differential...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online