Tags: Dynamical systems

Resources (1-20 of 39)

  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. Deriving the SWM Lecture 1: Conservation of Potential Vorticity

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

    This lecture develops the conservation equation for potential vorticity in the shallow water model.

  3. Deriving the SWM Lecture 2: Stream Functions for Velocity Fields

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

    This lecture develops the formulation of the stream function for the velocity field of the shallow water equation.  his is the second in a series of short lectures on deriving the shallow water model, given by Chris Jones in 2013. 

  4. Deriving the SWM Lecture 3: Barotropic Vorticity Equations

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

    This lecture develops the barotropic vorticity equations for the shallow water model.  This is background lecture 2.1C in the Mathematics of Climate Modelling course.

  5. 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.

  6. 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.

  7. Chaotic Dynamical Systems: the Bernoulli Shift

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

    This is the first part of a series of lectures on chaotic dynamics, and focuses on the Bernoulli shift. 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 second year...

  8. Chaotic Dynamical Systems: the Horseshoe Map

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

    This is the second part of a series of lectures on chaotic dynamics, and focuses on the Horseshoe Map. 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 second year graduate...

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

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

  10. Where's the Math in Climate Science?

    09 Nov 2015 | | Contributor(s):: Christopher KRT Jones

    Abstract: Climate science is dominated by the use of large-scale models, of which there are only 30 or so around the world. It might then seem that the need for mathematics is limited to areas that directly support the operation of such models. I will explain, by digging into the way the models...

  11. Midwest Mathematics and Climate Conference - Day 2 Afternoon Session

    12 May 2015 | | Contributor(s):: Colin James Grudzien

    Charles Jackson, University of Texas, AustinDual-state Behavior of the Community Climate System ModelIce age climate between 80,000 and 11,000 years ago experienced abrupt (< 10 year) global-scale climate transitions every few thousand years. Evidence and theory suggests such behavior may be...

  12. Midwest Mathematics and Climate Conference - Day 3 Afternoon Session

    12 May 2015 |

    Mary Silber, Northwestern UniversityPattern Formation in the Drylands: Self Organization in Semi-Arid EcosystemsMuch of our understanding of spontaneous pattern formation in spatially extended systems was developed in the “wetlands" of fluid mechanics. That setting allowed...

  13. Midwest Mathematics and Climate Conference

    12 May 2015 |

    The conference is sponsored by the National Science Foundation, Institute of Mathematics and Its Applications, the Office of Research,College of Liberal Arts and Sciences, and the Department of Mathematics, Department of Geography/Atmospheric Science Program, and The...

  14. Introduction to the Mathematics of Climate at UMN - Lecture 23

    12 May 2015 | | Contributor(s):: Richard McGehee

    This is lecture 23 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.

  15. Introduction to the Mathematics of Climate at UMN - Lecture 22

    12 May 2015 | | Contributor(s):: Richard McGehee

    This is lecture 22 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.  

  16. Introduction to the Mathematics of Climate at UMN - Lecture 21

    12 May 2015 | | Contributor(s):: Richard McGehee

    This is lecture 21 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.  

  17. Introduction to the Mathematics of Climate at UMN - Lecture 20

    12 May 2015 | | Contributor(s):: Richard McGehee

    This is lecture 20 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.

  18. Introduction to the Mathematics of Climate at UMN - Lecture 19

    12 May 2015 | | Contributor(s):: Richard McGehee

    This is lecture 19 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.

  19. Introduction to the Mathematics of Climate at UMN - Lecture 18

    12 May 2015 | | Contributor(s):: Richard McGehee

    This is lecture 18 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.

  20. Introduction to the Mathematics of Climate at UMN - Lecture 17

    12 May 2015 | | Contributor(s):: Richard McGehee

    This is lecture 17 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.