Tags: stability analysis

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  1. Geometric Dynamical Systems: Manifolds and Stability Part I

    04 May 2016 | | 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 Climate Modelling Course taught at the University of North Carolina by Chris Jones in 2013. This course was a...

  2. Geometric Dynamical Systems: Manifolds and Stability Part II

    04 May 2016 | | 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 course.

  3. Geometric Dynamical Systems: Manifolds and Stability Part III

    04 May 2016 | | 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 course.

  4. dBBCK: Chapter 2, part 2

    30 Nov 2015 | | 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, Filippov systems, and hybrid systems, as well as asymptotic stability of nonsmooth systems.

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

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

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

    08 May 2015 | | 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 involved in large power outages. In this talk I will first give a comparative review of three leading...

  7. Synchronization in power grid networks

    07 May 2015 | | 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 derivation of the Swing equation that determine the dynamics of a node in power grid network, and...

  8. Complex Energy Systems

    07 May 2015 | | 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 energy systems, including the electric grid and gas networks.  Systems with high penetration of...

  9. Computational Techniques for Lyapunov Exponents and Vectors

    23 Mar 2015 | | 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 analysis/perturbation theory, and describe codes we have developed. We then discuss application of...

  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