• Home
  • Publications
  • Other Writing
  • Talks
  • Teaching
  • Students
  • Collaborators
  • Posts
  • Contact
ESC

Searching...

No results found

↑↓ Navigate ↵ Select
Powered by Hugo Blox
  • Teaching
  • Other writing
  • Publications
  • Students
  • slides
    • Math 222
    • Slides
  • 📚 Courses
    • Math 222
      • MATLAB Projects
        • Project 1, Onramp
        • Project 2, Slope field
        • 😍 Project 2 Solution
        • Project 3, Euler's method
        • 😎 Project 3 Solution
        • Project 4: SIR Models
        • 🐱 Project 4 Answer
      • Supplements
        • MATLAB Programming
        • Reduction of Order
        • Epidemics Modeling Supplement
        • Supplement to 10.1
        • Supplement to 10.4
    • Math 450H & Math 451H
      • 2005-2006 Project
      • The bouncing ball
      • 2010 Project
      • 2013 Project
    • Math 473
    • Math 614
    • Math 671
    • Math 676
    • Valenciennes 2024
  • Posts
    • How should we LaTeX?
    • matdfield & matpplane (2021, now superseded)
    • Summary of Responses to my post to the SIAG-DS mailing list
  • Publications
    • Phase portraits and the bifurcation set for the three-vortex interaction system
    • Small-Mass Asymptotics of Massive Point Vortex Dynamics in Bose--Einstein Condensates I: Averaging and Normal Forms
    • QGLAB: A MATLAB Package for Computations on Quantum Graphs
    • A new canonical reduction of three-vortex motion and its application to vortex-dipole scattering
    • An English Translation of Gröbli's Ph.D. Dissertation: "Specielle Probleme über die Bewegung geradliniger paralleler Wirbelfäden"
    • SIAM New York – New Jersey – Pennsylvania Section Holds Inaugural Conference
    • Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential
    • Apodizer Design to Efficiently Couple Light into a Fiber Bragg Grating
    • Transition to instability of the leapfrogging vortex quartet
    • An Optimal Control Approach to Gradient-Index Design for Beam Reshaping
    • A Reduction-Based Strategy for Optimal Control of Bose-Einstein Condensates
    • Solitary Waves in Mass-in-Mass Lattices
    • Loss of Physical Reversibility in Reversible Systems
    • In Memoriam: Richard Haberman
    • Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach
    • Drift of spectrally stable shifted states on star graphs
    • Topological features determining the error in the inference of networks using transfer entropy
    • Four Decades of Kink Interactions in Nonlinear Klein-Gordon Models: A Crucial Typo, Recent Developments and the Challenges Ahead
    • Markdown: A Writing Tool for Every Applied Mathematician's Toolbox
    • Mathematical Analysis of Fractal Kink-Antikink Collisions in the $\varphi^4$ Model
    • NLS bifurcations on the bowtie combinatorial graph and the dumbbell metric graph
    • Book Review, Methods of Mathematical Modeling by Witelski and Bowen
    • Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential
    • A Mechanical Analog of the Two-Bounce Resonance of Solitary Waves: Modeling and Experiment
    • Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates
    • Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii Equation
    • High-order Adaptive Method for Computing Two-dimensional Invariant Manifolds of Maps
    • Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes
    • High-Order Bisection Method for Computing Invariant Manifolds of Two-Dimensional Maps
    • Nonlinear hydrodynamic phenomena in Stokes flow regime
    • Chaotic scattering in solitary wave interactions: A singular iterated-map description
    • Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation
    • Stability and instability of nonlinear defect states in the coupled mode equations---analytical and numerical study
    • Chaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions
    • Kink-antikink collisions in the $\phi^4$ equation: The $n$-bounce resonance and the separatrix map
    • Trapping light with grating defects
    • Vector soliton interactions in birefringent optical fibers
    • Interaction of sine-Gordon kinks with defects: The two-bounce resonance
    • Strong NLS soliton--defect interactions
    • Interaction of sine-Gordon kinks with defects: phase space transport in a two-mode model
    • Modulations in the leading edges of midlatitude storm tracks
    • Stopping Light on a Defect
    • Trapping of kinks and solitons by defects: phase space transport in finite-dimensional models
    • Nonlinear propagation of light in one-dimensional periodic structures
    • Trigger Waves in a Model for Catalysis
  • Recent & Upcoming Talks
    • Transfer entropy for network reconstruction in a simple dynamical model
    • Leapfrogging Vortex Pairs: Linear Stability, Nonlinear Dynamics, and Escape
    • What do I do with all these numerical simulations?
    • Complex Behavior in Coupled Nonlinear Waveguides
  • Math 222
    • MATLAB Projects
      • Project 1, Onramp
      • Project 2, Slope field
      • 😍 Project 2 Solution
      • Project 3, Euler's method
      • 😎 Project 3 Solution
      • Project 4: SIR Models
      • 🐱 Project 4 Answer
    • Supplements
      • MATLAB Programming
      • Reduction of Order
      • Epidemics Modeling Supplement
      • Supplement to 10.1
      • Supplement to 10.4
  • Math 450H & Math 451H
    • 2005-2006 Project
    • The bouncing ball
    • 2010 Project
    • 2013 Project
  • Math 473
  • Math 614
  • Math 671
  • Math 676
  • Valenciennes 2024
📚 Courses
Math 222
Supplements

Supplements to Sections 10.1 & 10.4 of Boyce

  • Supplement to 10.1
  • Supplement to 10.4
docs
Last updated on Oct 15, 2026

© 2026 Roy Goodman. This work is licensed under CC BY NC ND 4.0

Made with Hugo Blox. Duplicate this template →