University Physics Notes - Non

University Physics Notes: Non - Linear Dynamics

Area Preserving Flows	Autonomous Systems
Autonomous Hamiltonian Systems	Classifying Fixed Points of Second Order Systems
Complex Eigenvalues of Second Order Systems	Finding Solutions to Algebraic Equations Using Perturbation Expansions
Fixed Points of Autonomous Systems	Fixed Points Equilibrium and Stability
Finding Fixed Points of Autonomous Systems	Fixed Points of Hamiltonian Systems
Introduction to Perturbation Theory	Librational Periods
Limit Cycles	Motion in a Circle
Phase Curves and Phase Diagrams	Rotational Periods for Hamiltonian Systems
Second Order Autonomous Systems	Separatrixes
Solving Differential Equations Using Perturbation Expansions	Terminating Motion
The Logistic Model	The Period of Rotational Motion