What is the graph of a dynamical system? - presented by Professor James A Yorke

What is the graph of a dynamical system?

Professor James A Yorke

Professor James A Yorke

Associated Nonlinear Dynamics article

R. D. Leo and J. A. Yorke (2021) Infinite towers in the graphs of many dynamical systems. Nonlinear Dynamics
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What is the graph of a dynamical system?
Professor James A Yorke
James A Yorke
University of Maryland, College Park

Frequently we describe a dynamical system in terms of an attractor. That can leave out important information about unstable invariant sets. These represent hidden behavior that can become important when the system is perturbed.

The graph of a dynamical system enables us to try to encapsulate some of the complexity.

Some examples of why this is important will be presented, from the very simple to the very complex.

References
  • 1.
    R. D. Leo and J. A. Yorke (2021) Infinite towers in the graphs of many dynamical systems. Nonlinear Dynamics
  • 2.
    R. D. Leo and J. A. Yorke (2021) The graph of the logistic map is a tower. Discrete & Continuous Dynamical Systems
Nonlinear Dynamics, an International Journal of Nonlinear Dynamics and Chaos in Engineering Systems logo
Nonlinear Dynamics
Nonlinear Dynamics, an International Journal of Nonlinear Dynamics and Chaos in Engineering Systems
Cite as
J. A Yorke (2024, November 12), What is the graph of a dynamical system?
DOI
doi.org/10.52843/cassyni.9zhy4m
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Video length 42:33
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Disclaimer The views expressed in this seminar are those of the speaker and not necessarily those of the journal