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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 ...
The dynamical systems approach to neuroscience is a branch of mathematical biology that utilizes nonlinear dynamics to understand and model the nervous system and its functions. In a dynamical system, all possible states are expressed by a phase space. [1]
Dynamicism, also termed dynamic cognition, is an approach in cognitive science popularized by the work of philosopher Tim van Gelder. [ 1 ] [ 2 ] It argues that differential equations and dynamical systems are more suited to modeling cognition rather than the commonly used ideas of symbolicism , connectionism , or traditional computer models.
Biological applications of bifurcation theory provide a framework for understanding the behavior of biological networks modeled as dynamical systems.In the context of a biological system, bifurcation theory describes how small changes in an input parameter can cause a bifurcation or qualitative change in the behavior of the system.
Complex systems biology is a field of science that studies the emergence of complexity in functional organisms from the viewpoint of dynamic systems theory. [20] The latter is also often called systems biology and aims to understand the most fundamental aspects of life.
Visual representation of a strange attractor. [1] Another visualization of the same 3D attractor is this video.Code capable of rendering this is available.. In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, [2] for a wide variety of starting conditions of the system.
Developmental systems theory (DST) is an overarching theoretical perspective on biological development, heredity, and evolution. [1] It emphasizes the shared contributions of genes , environment, and epigenetic factors on developmental processes.
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. [14]