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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 ...
Linda B. Smith, and Esther Thelen (September 1993). A Dynamic Systems Approach to Development. MIT Press. ISBN 0-262-19333-7; Esther Thelen, Gregor Schöner, Christian Scheier, and Linda B. Smith (2001). "The dynamics of embodiment: A field theory of infant perseverative reaching". Behavioral and Brain Sciences 24(1), , 1–34.
Complex dynamic systems theory in the field of linguistics is a perspective and approach to the study of second, third and additional language acquisition. The general term complex dynamic systems theory was recommended by Kees de Bot to refer to both complexity theory and dynamic systems theory. [1]
Systems sciences covers formal sciences fields like complex systems, cybernetics, dynamical systems theory, and systems theory, and applications in the field of the natural and social sciences and engineering, such as control theory, operations research, social systems theory, systems biology, systems dynamics, systems ecology, systems ...
Deterministic system (mathematics) Linear system; Partial differential equation; Dynamical systems and chaos theory; Chaos theory. Chaos argument; Butterfly effect; 0-1 test for chaos; Bifurcation diagram; Feigenbaum constant; Sharkovskii's theorem; Attractor. Strange nonchaotic attractor; Stability theory. Mechanical equilibrium; Astable ...
A period-halving bifurcation occurs when a system switches to a new behavior with half the period of the original system. A period-doubling cascade is an infinite sequence of period-doubling bifurcations. Such cascades are one route by which dynamical systems can develop chaos. [1] In hydrodynamics, they are one of the possible routes to ...
Dynamical systems deals with the study of the solutions to the equations of motion of systems that are primarily mechanical in nature; although this includes both planetary orbits as well as the behaviour of electronic circuits and the solutions to partial differential equations that arise in biology.
In the study of development, recent work has been generated regarding the combination of behavior analytic views with dynamical systems theory. [162] The added benefit of this approach is its portrayal of how small patterns of changes in behavior in terms of principles and mechanisms over time can produce substantial changes in development. [163]