Breadcrumb
Open dynamical systems
Supervisor: Carl Dettmann
Theme: Dynamical Systems & Statistical Mechanics
What happens if you put a hole or two in a regular or chaotic dynamical system and let trajectories leak out? We can learn a lot about the dynamics, how to control it, and how trajectories get transported between systems connected by holes, by studying the distribution of escape times (where the trajectory is originally inside the system) and recurrence times (where it is initially injected through a hole). A good class of open systems to visualise are mathematical billiards of different shapes, where the holes are "pockets", typically located at the boundaries.
Publications
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Peeping at chaos: Nondestructive monitoring of chaotic systems by measuring long-time escape rates (2007)
L. A. Bunimovich and C. P. Dettmann
Europhys. Lett., vol: 80, Page: 40001 -
Open mushrooms: Stickiness revisited (2011)
C. P. Dettmann and O. Georgiou
Journal of Physics A - Mathematical and Theoretical, vol: 44, Page: 195102
URL provided by the author -
Escape and transport for an open bouncer: Stretched exponential decays (2012)
Carl P. Dettmann and Edson D. Leonel
Physica D, vol: 241, Pages: 403 - 408