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DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
Experimental and theoretical approaches to global brain dynamics that draw on the latest research in the field. The consideration of time or dynamics is fundamental for all aspects of mental activity—perception, cognition, and emotion—because the main feature of brain activity is the continuous change of the underlying brain states even in a constant environment. The application of nonlinear dynamics to the study of brain activity began to flourish in the 1990s when combined with empirical observations from modern morphological and physiological observations. This book offers perspectives on brain dynamics that draw on the latest advances in research in the field. It includes contributions from both theoreticians and experimentalists, offering an eclectic treatment of fundamental issues. Topics addressed range from experimental and computational approaches to transient brain dynamics to the free-energy principle as a global brain theory. The book concludes with a short but rigorous guide to modern nonlinear dynamics and their application to neural dynamics.
A broad and detailed description of dynamics for mechanical and aerospace engineering applications.
Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences as well as in biology. The objective of this book is to provide university students with a solid foundation for understanding the numerical methods employed in today's CFD and to familiarise them with modern CFD codes by hands-on experience. It is also intended for engineers and scientists starting to work in the field of CFD or for those who apply CFD codes. Due to the detailed index, the text can serve as a reference handbook too. Each chapter includes an extensive bibliography, which provides an excellent basis for further studies.
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
A GROUNDBREAKING TEXT THAT BRIDGES TEH GAP BETWEEN THEORTERICAL DYANICS AND INDUSTRY APPLICATIONS. Designed to address the perceived failure of introductory dynamics courses to produce students capable of applying dynamic principles successfully, both in subsequent courses and in practice, Engineering Applications of Dynamics adopts a much-needed practical approach designed to make the subject not only more relevant, but more interesting as well. Written by a highly respected team of authors, the book is the first of its kind to tie dynamics theory directly to real-world situations. By touching on complex concepts only to the extent of illustrating their value in real-world applications, the authors provide students with a deeper understanding of dynamics in the engineering of mechanical systems. Topics of interest include: * The formulation of equations in forms suitable for computer simulation * Simulation examples of real engineering systems * Applications to vehicle dynamics * Lagrange's equations as an alternative formulation procedure * Vibrations of lumped and distributed systems * Three-dimensional motion of rigid bodies, with emphasis on gyroscopic effects * Transfer functions for linearized dynamic systems * Active control of dynamic systems A Solutions Manual with detailed solutions for al problems in this book is available at the Web site, www.wiley.com/college/karnopp.
Biofluid Dynamics builds a solid understanding of medical implants and devices from a bioengineering standpoint. The text features extensive worked examples and mathematical appendices; exercises and project assignments to stimulate critical thinking and build problem solving skills; numerous illustrations, including a 16-page full-color insert; computer simulations of biofluid dynamics processes and medical device operations; tools for solving basic biofluid problems; and a glossary of terms. The text can be used as a primary selection for a comprehensive course or for a two-course sequence or as a reference for professionals in biomedical engineering and medicine.