James Meiss I received a Ph.D. from University of California at Berkeley, in Physics, 1980. From 1980-1989 I was at the Institute for Fusion Studies, at the University of Texas. In 1989 I moved to Boulder, becoming Professor of Applied Mathematics. University address: Department of Applied Mathematics 526 UCB University of Colorado at Boulder Boulder, CO 80309-0526 Phone: (303) 492-3731 (303) 492-4668 (secretary) (303) 492-4066 (fax) Office: Eng. Center Office Tower (ECOT) 646 Vita: PDF file

Bibliographic Information

1. My Erdös number is at most 4
2. ORCID
3. Researcher ID
4. Google Scholar
5. zbMath
6. Research.com Ranking
7. Semantic Scholar

Links

• This Fall (2024), I will teach APPM 5460, Dynamical Systems, from my textbook ...sign up if you are interested in Differential equations, qualitative dynamics and chaos. I will also be teaching APPM 4440 (Applied Analyis) in the Fall. We will be using Fitzpatrick's Advanced Calculus book.
• I contributed an article on ordinary differential equations for the Princeton Companion to Applied Mathematics. It was published in Sept 2015 and looks like it will be great reference.
• About my textbook: Differential Dynamical Systems (Here is a review: DSWeb Review)
• About my Research
• Some videos and slides of Conference Lectures
• About my Teaching
• Some of my Programs for the Macintosh and SGI
• Frequently Asked Questions about nonlinear science (from the sci.nonlinear newsgroup)
• About the Meiss family

Research Announcements

• I was selected as a Fellow of SIAM in Spring 2023. Here is the article in the College Magazine
• Simons Foundatation Grant on Hidden Symmetries and Fusion Energy
• Home Website for Hidden Symmetries and Fusion Energy
• Award of Simons Grant Publicity on the Applied Math Home page

Textbook: Differential Dynamical Systems

Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.

Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts-flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics.

This textbook is intended for senior undergraduates and first-year graduate students in pure and applied mathematics, engineering, and the physical sciences. Readers should be comfortable with elementary differential equations and linear algebra and should have had exposure to advanced calculus.

Errata:

• First printing (Dec 2007),
• Second and Third printings (after March 2009)
• Revised Edition (after Jan 2017)
• Revised Edition, Second Printing (after December 2019)

Purchasing

• SIAM (members get 30% off!)
• CU Library QA614.8 .M45 2017
• e-Book from the CU Library
• E-book on Google Play store
• Amazon
• World Cat

Some Reviews

• MathSciNet
• Zentralblatt
• Computing Reviews I
• Computing Reviews II
• Dynamical Systems Magazine

Editorial Boards

I retired from being an editor of Physica D as of Dec 31, 1999. Please submit your papers to one of the current editors.

I retired as associate editor for the SIAM Journal on Applied Dynamical Systems on Dec 31, 2009.

SIAM Dynamical Systems Activity Group

I organized the 1995 SIAM Dynamical Systems Meeting in Snowbird Utah and have regularly attended each biennial meeting---maybe you saw me at DS23 in Portland? The next meeting will be in Denver in May 2025: see you there! Stay in touch with the SIAG at DSWeb.org. There you will find the online Dynamics magazine, an image gallery, a software library, etc. Unitl recently, I was the editor for the recently published books in dyanamcal systems column.

revised Aug 2024