Tags: stability analysis

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  1. Geometric Dynamical Systems: Manifolds and Stability Part I

    04 May 2016 | Presentations | Contributor(s): Christopher KRT Jones

    This is the first part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems.   This short lecture series was part of the MCRN Mathematics of...

    http://mcrn.hubzero.org/resources/562

  2. Geometric Dynamical Systems: Manifolds and Stability Part II

    04 May 2016 | Presentations | Contributor(s): Christopher KRT Jones

    This is the second part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This is background lecture 3.1B for the Mathematics of Climate Modelling...

    http://mcrn.hubzero.org/resources/564

  3. Geometric Dynamical Systems: Manifolds and Stability Part III

    04 May 2016 | Presentations | Contributor(s): Christopher KRT Jones

    This is the final part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This is background lecture 3.1C for the Mathematics of Climate Modelling...

    http://mcrn.hubzero.org/resources/566

  4. dBBCK: Chapter 2, part 2

    30 Nov 2015 | Presentations | Contributor(s): Kaitlin Hill

    A discussion of the second part of of Chapter 2 in Piecewise-smooth Dynamical Systems by di Bernardo, Budd, Champneys, and Kowalczyk, which covers an introduction to piecewise-smooth ODEs,...

    http://mcrn.hubzero.org/resources/493

  5. A nonsmooth example: An approximation to the Jormungand climate model

    30 Nov 2015 | Presentations | Contributor(s): Jim Walsh

    http://mcrn.hubzero.org/resources/474

  6. Realistic modeling and analysis of synchronization dynamics in power-grid networks

    08 May 2015 | Presentations | Contributor(s): Takashi Nishikawa

    An imperative condition for the functioning of a power-grid network is that its power generators remain synchronized. Disturbances can prompt desynchronization, which is a process that has been...

    http://mcrn.hubzero.org/resources/85

  7. Synchronization in power grid networks

    07 May 2015 | Presentations | Contributor(s): Suman Acharyya

    This survey discusses Master Stability Function (MSF) analysis for determining stability of synchronization of coupled oscillators on network. In addition, we briefly discuss the...

    http://mcrn.hubzero.org/resources/79

  8. Complex Energy Systems

    07 May 2015 | Presentations | Contributor(s): Michael Chertkov

    This is the opening guest lecture for the Electric Grid Focus Group.  Dr. Michael Chertkov of Los Alamos National Lab describes the statistical and mathematical problems arising in complex...

    http://mcrn.hubzero.org/resources/77

  9. Computational Techniques for Lyapunov Exponents and Vectors

    23 Mar 2015 | Presentations | Contributor(s): Erik Van Vleck

    In this talk we present computational techniques for Lyapunov exponents and vectors based upon continuous matrix factorizations (QR and SVD). We outline the techniques, their well-posedness, error...

    http://mcrn.hubzero.org/resources/25

  10. Colin James Grudzien

    I am a fifth year PhD student in the Mathematics Department at the University of North Carolina, Chapel Hill, and my adviser is Chris Jones.

    http://mcrn.hubzero.org/members/1034

  11. Jan 10 2015

    Mathematics of Planet Earth Invited Paper Session and additional talks at Joint Mathematics Meeting

    JOINT MATHEMATICS MEETINGSSaturday January 10, 2015, 6:00 p.m.: Informal MCRN MeetingLocation: IMA table at the Open House of the Institutes in Mathematical Sciences Texas Ballroom, Salons A &...

    http://mcrn.hubzero.org/events/details/590