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The prize is endowed by and named after Michael Brin, [1] whose son Sergey Brin [2] is a co-founder of Google. Michael Brin is a retired mathematician at the University of Maryland and a specialist in dynamical systems. [3] The first prize was awarded in 2008, between 2009 and 2017 it has been awarded bi-annually, and since 2017 annually.
Katok's collaboration with his former student Boris Hasselblatt resulted in the book Introduction to the Modern Theory of Dynamical Systems, published by Cambridge University Press in 1995. This book is considered as encyclopedia of modern dynamical systems and is among the most cited publications in the area. [9] [5]
A discrete dynamical system, discrete-time dynamical system is a tuple (T, M, Φ), where M is a manifold locally diffeomorphic to a Banach space, and Φ is a function. When T is taken to be the integers, it is a cascade or a map. If T is restricted to the non-negative integers we call the system a semi-cascade. [13]
Suspension is a construction passing from a map to a flow.Namely, let be a metric space, : be a continuous map and : + be a function (roof function or ceiling function) bounded away from 0.
In sports biomechanics, dynamical systems theory has emerged in the movement sciences as a viable framework for modeling athletic performance and efficiency. It comes as no surprise, since dynamical systems theory has its roots in Analytical mechanics. From psychophysiological perspective, the human movement system is a highly intricate network ...
Dynamical neuroscience describes the non-linear dynamics at many levels of the brain from single neural cells [3] to cognitive processes, sleep states and the behavior of neurons in large-scale neuronal simulation. [4] Neurons have been modeled as nonlinear systems for decades, but dynamical systems are not constrained to neurons. Dynamical ...
The field of system identification uses statistical methods to build mathematical models of dynamical systems from measured data. [1] System identification also includes the optimal design of experiments for efficiently generating informative data for fitting such models as well as model reduction.
Yingfei Yi, "An interview with Jack K. Hale", Dynamical Systems Magazine, November 18, 2003, Atlanta. Lefschetz Center for Dynamical Systems at Brown University Chow SN., Mallet-Paret J. "Obituary of Jack K. Hale" , Journal of Dynamics and Differential Equations , volume 22, issue 2, pp. 73–78, 2010.