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Flows on Compact Surfaces: The Weil–Hedlund–Anosov Program

Posted By: AvaxGenius
Flows on Compact Surfaces: The Weil–Hedlund–Anosov Program

Flows on Compact Surfaces: The Weil–Hedlund–Anosov Program by Nelson G. Markley , Mary Vanderschoot
English | PDF EPUB (True) | 2023 | 368 Pages | ISBN : 3031329546 | 49.5 MB

This textbook offers a uniquely accessible introduction to flows on compact surfaces, filling a gap in the existing literature. The book can be used for a single semester course and/or for independent study. It demonstrates that covering spaces provide a suitable and modern setting for studying the structure of flows on compact surfaces. The thoughtful treatment of flows on surfaces uses topology (especially covering spaces), the classification of compact surfaces, and Euclidean and hyperbolic rigid motions to establish structural theorems that describe flows on surfaces generally. Several of the topics from dynamical systems that appear in this book (e.g., fixed points, invariant sets, orbits, almost periodic points) also appear in the many subareas of dynamical systems. The book successfully presents the reader with a self-contained introduction to dynamical systems or an expansion of one's existing knowledge of the field. Prerequisites include completion of a graduate-level topology course; a background in dynamical systems is not assumed.

Machine Learning Control – Taming Nonlinear Dynamics and Turbulence

Posted By: AvaxGenius
Machine Learning Control – Taming Nonlinear Dynamics and Turbulence

Machine Learning Control – Taming Nonlinear Dynamics and Turbulence by Thomas Duriez , Steven L. Brunton , Bernd R. Noack
English | EPUB | 2017 | 229 Pages | ISBN : 331940623X | 4.4 MB

This is the first textbook on a generally applicable control strategy for turbulence and other complex nonlinear systems. The approach of the book employs powerful methods of machine learning for optimal nonlinear control laws. This machine learning control (MLC) is motivated and detailed in Chapters 1 and 2. In Chapter 3, methods of linear control theory are reviewed. In Chapter 4, MLC is shown to reproduce known optimal control laws for linear dynamics (LQR, LQG). In Chapter 5, MLC detects and exploits a strongly nonlinear actuation mechanism of a low-dimensional dynamical system when linear control methods are shown to fail. Experimental control demonstrations from a laminar shear-layer to turbulent boundary-layers are reviewed in Chapter 6, followed by general good practices for experiments in Chapter 7.

Dynamical Models In Neurocognitive Psychology

Posted By: AvaxGenius
Dynamical Models In Neurocognitive Psychology

Dynamical Models In Neurocognitive Psychology by Ralf Engbert
English | EPUB | 2021 | 158 Pages | ISBN : 3030672980 | 25.6 MB

The development of cognitive models is a key step in the challenging research program to advance our understanding of human cognition and behavior. Dynamical models represent a general and flexible approach to cognitive modeling. This introduction focuses on applications of stochastic processes and dynamical systems to model cognition.

Dynamical Models In Neurocognitive Psychology

Posted By: AvaxGenius
Dynamical Models In Neurocognitive Psychology

Dynamical Models In Neurocognitive Psychology by Ralf Engbert
English | PDF | 2021 | 158 Pages | ISBN : 3030672980 | 7.8 MB

The development of cognitive models is a key step in the challenging research program to advance our understanding of human cognition and behavior. Dynamical models represent a general and flexible approach to cognitive modeling. This introduction focuses on applications of stochastic processes and dynamical systems to model cognition.

The Convergence Problem for Dissipative Autonomous Systems: Classical Methods and Recent Advances

Posted By: AvaxGenius
The Convergence Problem for Dissipative Autonomous Systems: Classical Methods and Recent Advances

The Convergence Problem for Dissipative Autonomous Systems: Classical Methods and Recent Advances By Alain Haraux, Mohamed Ali Jendoubi
English | EPUB | 2015 | 147 Pages | ISBN : 3319234064 | 2.89 MB

The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the solutions to an equilibrium.