Hamiltonian Chaos

Chaos and Time-Series Analysis

10/24/00 Lecture #8 in Physics 505

Warning:  This is probably the most technically difficult lecture of the course.

* Comments on Homework #6 (Lyapunov Exponent)

* Review (last week) - Bifurcations

* Hamiltonian Systems - Introduction and Motivation

* A Case Study - Mass on a Spring (frictionless)

* Hamilton's Equations (N Dimensions)

* Properties of Hamiltonian Systems

* 2-D Symplectic (Area-Preserving) Maps

* Simple Pendulum (2-D Conservative Flow)

* Chirikov (Standard) Map


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