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We propose an adaptive nonlinear control method for a discrete-time dynamicalsystem.
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The activity of these cells evolves with time, a trait characteristic of a dynamicalsystem.
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By iterating the map, one obtains a dynamicalsystem called an "interval exchange transformation".
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Optimal control theory is branch of mathematics that aims to optimize a solution to a dynamicalsystem.
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The neuromuscular system used to stabilize upright posture in humans is a nonlinear dynamicalsystem with time delays.
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We show that under suitable assumptions, Poincare recurrences of a dynamicalsystem determine its topology in phase space.
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Analysis of the brain as a dynamicalsystem can assist drug development for dynamical diseases such as epilepsy.
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We present and implement a unified theory of our approach for any finite-dimensional continuous dynamicalsystem that exhibits oscillatory behavior.
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Our study suggests that FC arises from noise propagation and dynamical slowing down of fluctuations in an anatomically constrained dynamicalsystem.
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The human controller (HC) in manual control of a dynamicalsystem often follows a visible and predictable reference path (target).
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Our analysis reveals the standardized qualitative dynamicalsystem approach (SQUAD) to be a better choice than classical mass action formalisms.
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Their work, which is still in preparation, shows that a generic volume-preserving diffeomorphism with positive metric entropy is an ergodic dynamicalsystem.
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Navigation means, in principle, the existence of a map, compass and of a dynamicalsystem of finding the actual position on the map.
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From a thermodynamic perspective, if you have a dynamicalsystem composed of lots parts, it seems to rather generically have this tendency to self-organization.
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We are dealing with what is now called a dynamicalsystem-andthe world, we will see, is a little too much of a dynamicalsystem.
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Avila used approaches from dynamicalsystems theory in this work, including renormalization techniques.