PHY 410/505 Fall 1998
Lectures
[
Welcome 
Syllabus 
References 
Lectures 
Assignments
]
 Chapter 8: The Dynamics of Many Particle Systems
 Chapter 10: Electrodynamics
 Chapter 18: Quantum Systems
 Chapter 11: Numerical Integration and Monte Carlo Methods
 Chapter 17: Monte Carlo Simulation of the Canonical Ensemble
 Chapter 13: Percolation
 Chapter 14: Fractals
 Chapter 15: Complexity
Fall 1998 Lectures
 Chapter 2: The Coffee Cooling Problem
 Chapter 3: The Motion of Falling Objects
 Chapter 4: The TwoBody Problem
 Chapter 5: Simple Linear and Nonlinear Systems
 Lecture 16, October 14
 Simple X Window program xHello.cpp
 Lecture 17, October 16
 Motif animation of simple pendulum

Lecture 18, October 19
 Microsoft Windows graphics programming
 Lecture 19, October 23
 Midterm problems
 Simplified Motif programming
 Lecture 20, October 26
 Chapter 6: The Chaotic Motion of Dynamical Systems
 Lecture 21, October 28
 Population dynamics and logistic map
 Lecture 22, October 30
 Logistic map: fixed points and period doubling
 Analogs in pendulum motion
 Lecture 23, November 2
 Bifurcation diagram
 Feigenbaum's universal constants
 Chaotic region
 Lecture 24, November 4
 Lyapunov exponent
 Controlling chaos
 Lecture 25, November 6
 Bisection search rootfinding algorithm
 Recursive function for f^{(p)}
(x, r)
 Lecture 26, November 9
 The 2dimensional Hénon Map and Strange Attractor
 The Lorenz Model of Deterministic Nonperiodic
Flow, and the Lorenz Attractor
 Lecture 27, November 11
 Forced Damped Nonlinear Pendulum
 Lecture 28, November 13
 Hamiltonian Chaos in the Kicked Rotor
 The Standard Map, KolmogorovArnoldMoser Theorem
 Lecture 29, November 16
 Hamiltonian chaos in the double pendulum
 Lecture 30, November 18
 Chaos in Stadium Billiard Systems
 Period doubling and chaos in RayleighBénard
convection
 Lecture 31, November 20
 RayleighBénard convection in liquid
^{4}He: experimental evidence for perioddoubling
and chaos in the power spectrum
 Chapter 9: Normal Modes and Waves
 Lecture 32, November 23
 Fourier Transform and Power Spectrum
 O(N^{2}) algorithm vs.
O(N log_{2}(N)) FFT
algorithm
 Lecture 33, November 24
 CooleyTuckey FFT algorithm using bitreversal and
the DanielsonLanczos lemma
 Cases N = 4 and N = 8
 Lecture 35, November 30
 Lecture 36, December 2
 FFT continued
 Nonlinear damped driven pendulum
 Lecture 37, December 4
 More on pendulum power spectra
 Aliasing and other FFT problems
 Chapter 12: Section 12.6 Random Number Sequences
 Lecture 38, December 7
 Applications of random numbers
 Generating true random numbers
 Pseudorandom number sequences
 Linear congruential generators
 Lecture 39, December 9
 Standard C/C++ generator: int rand()
 A better generator: double drand48()
 Chisquare test: chi_square.cpp
 Lecture 40, December 11
 Lecture 41, December 14
 More on auto_corr.cpp
 Program box.cpp: Order to disorder
(Chapter 7 Section 1)