AMS Sectional Meeting AMS Special Session

Current as of Sunday, April 14, 2024 03:30:04

2024 Spring Eastern Sectional Meeting

• Howard University, Washington, DC
• April 6-7, 2024 (Saturday - Sunday)
• Meeting #1194

Associate Secretary for the AMS Scientific Program:

Steven H Weintraub, Lehigh University shw2@lehigh.edu

• Saturday April 6, 2024, 8:00 a.m.-10:30 a.m.
  Special Session on Recent Developments in Nonlinear and Computational Dynamics, I
  This session spotlights recent developments in nonlinear dynamics, in particular, computational methods obtained from understanding the long-term behavior of nonlinear models derived from real-world applications. Experts and ascending talents in the field will convene to discuss new computational tools, advancement in modelling, and theoretical insights ---tackling challenges impeding our understanding of complex systems. The talks in this session will include topics in network dynamics, asymptotic analysis, celestial mechanics, bifurcations, computer-assisted proof methods, tipping mechanisms in complex systems, among others. By bridging key ideas around computational dynamics with the latest techniques that can push our understanding of the mechanisms behind nonlinear systems, participants can collectively map uncharted territory. Come ready to listen to innovative research, find common threads on the boundaries of your field to push the envelope in unraveling nonlinear dynamics.
  LKH 300, Alain Locke Hall
  Organizers:
  Emmanuel Fleurantin, University of North Carolina efleuran@gmu.edu
  Christopher K. R. T. Jones, University of North Carolina
  

  • 8:00 a.m.
    Persistence of steady-states for dynamical systems on large networks
    Jason Bramburger, Concordia University
    Matt Holzer*, George Mason University
    Jackson Williams, George Mason University
    (1194-34-34660)
  • 8:30 a.m.
    Application of Physics Informed Neural Networks for Predicting Disease Dynamics
    Alonso Ogueda Oliva*, George Mason University
    Padmanabhan Seshaiyer, George Mason University
    (1194-92-35099)
  • 9:00 a.m.
    Asymptotic Analysis of Piecewise-Deterministic Dynamical Systems
    James Broda*, Washington and Lee University
    Nikola Petrov, University of Oklahoma
    (1194-37-35012)
  • 9:30 a.m.
    Hyperbolic restricted three-body problem and Earth's long-term climate cycle
    Hye Kyung Kim*, University of Minnesota
    (1194-85-34815)
  • 10:00 a.m.
    Dynamics of a Hill four-body problem with varying oblateness
    Wai-Ting Lam*, Florida Atlantic University
    (1194-37-35332)
• Saturday April 6, 2024, 3:00 p.m.-5:00 p.m.
  Special Session on Recent Developments in Nonlinear and Computational Dynamics, II
  This session spotlights recent developments in nonlinear dynamics, in particular, computational methods obtained from understanding the long-term behavior of nonlinear models derived from real-world applications. Experts and ascending talents in the field will convene to discuss new computational tools, advancement in modelling, and theoretical insights ---tackling challenges impeding our understanding of complex systems. The talks in this session will include topics in network dynamics, asymptotic analysis, celestial mechanics, bifurcations, computer-assisted proof methods, tipping mechanisms in complex systems, among others. By bridging key ideas around computational dynamics with the latest techniques that can push our understanding of the mechanisms behind nonlinear systems, participants can collectively map uncharted territory. Come ready to listen to innovative research, find common threads on the boundaries of your field to push the envelope in unraveling nonlinear dynamics.
  LKH 300, Alain Locke Hall
  Organizers:
  Emmanuel Fleurantin, University of North Carolina efleuran@gmu.edu
  Christopher K. R. T. Jones, University of North Carolina
  

  • 3:00 p.m.
    Bifurcations with cyclic symmetries in partial differential equations models in biology and materials science
    Evelyn Sander*, George Mason University
    (1194-37-34001)
  • 3:30 p.m.
    On the Stability of Smooth Solutions to Peakon Equations
    Brett Ehrman, University of Kansas
    Mathew A. Johnson, University of Kansas
    S. Lafortune*, College of Charleston
    Dmitry E. Pelinovsky, McMaster University
    (1194-35-34852)
  • 4:00 p.m.
    Stability of sharp fronts: computer assisted methods of proof
    Blake Barker*, Brigham Young University
    Jared C. Bronski, University of Illinois
    Vera Hur, University of Illinois at Urbana Champaign
    Zhao Yang, Chinese Academy of Sciences
    (1194-35-34878)
  • 4:30 p.m.
    Computation of rigorous computer-assisted bounds of fixed points for renormalization of arbitrary period, eigenfunctions, and universal constants
    Maxime Breden, CMAP, CNRS, E'cole polytechnique
    Jorge Luis Gonzalez*, Florida Atlantic University
    J.D. Mireles James, Florida Atlantic University
    (1194-37-34990)
• Sunday April 7, 2024, 8:00 a.m.-10:00 a.m.
  Special Session on Recent Developments in Nonlinear and Computational Dynamics, III
  This session spotlights recent developments in nonlinear dynamics, in particular, computational methods obtained from understanding the long-term behavior of nonlinear models derived from real-world applications. Experts and ascending talents in the field will convene to discuss new computational tools, advancement in modelling, and theoretical insights ---tackling challenges impeding our understanding of complex systems. The talks in this session will include topics in network dynamics, asymptotic analysis, celestial mechanics, bifurcations, computer-assisted proof methods, tipping mechanisms in complex systems, among others. By bridging key ideas around computational dynamics with the latest techniques that can push our understanding of the mechanisms behind nonlinear systems, participants can collectively map uncharted territory. Come ready to listen to innovative research, find common threads on the boundaries of your field to push the envelope in unraveling nonlinear dynamics.
  LKH 300, Alain Locke Hall
  Organizers:
  Emmanuel Fleurantin, University of North Carolina efleuran@gmu.edu
  Christopher K. R. T. Jones, University of North Carolina
  

  • 8:00 a.m.
    Analytical and Computational Techniques for Noise-Induced Transitions over Periodic Boundaries
    Blake Barker, Brigham Young University
    Emmanuel Fleurantin*, University of North Carolina
    Christopher K. R. T. Jones, University of North Carolina
    Katherine Slyman, Brown University
    (1194-37-35267)
  • 9:00 a.m.
    An investigation of tipping mechanisms in a carbon cycle model
    Emmanuel Fleurantin, University of North Carolina
    Christopher K. R. T. Jones, University of North Carolina
    Katherine Slyman*, Brown University
    (1194-37-34932)
  • 9:30 a.m.
    Periodic Orbits for State-Dependent Delay Differential Equations
    Noah Corbett*, Florida Atlantic University
    Vincent Naudot, Florida Atlantic University
    (1194-34-34865)