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L. B. STRANG The past 25 years have seen a remarkable growth in our knowledge of lung development in its structural, physiological and biochemical dimensions. Much of the impetus for research leading to new knowledge has derived from the perception that many respiratory disorders in the newborn infant are due to defective development or maladaption of some component or components of the respiratory system. Thus, to cite one example, surfac tant deficiency is clearly seen to be the cause of atelectasis in hyaline mem brane disease; and to cite another, it is widely accepted that the mechanisms controlling patency of the ductus arteriosus and pulmonary vascular resistance also determine the ri...
This book deals with the global qualitative behavior of flows and diffeomorphisms. It presents a systematic study of the fundamental theory and method of dynamical systems, from local behavior near a critical (fixed) point or periodic orbit to the global, such as global structural stability, bifurcations and chaos. It emphasizes the global non-hyperbolicity and introduces some new results obtained by Chinese mathematicians which may not be widely known.
Surveys research over the past few years at a level accessible to graduate students and researchers with a background in differential and Riemannian geometry. Among the topics are foliations of codimension one, holonomy, Lie foliations, basic forms, mean curvature, the Hodge theory for the transversal Laplacian, applications of the heat equation method to Riemannian foliations, the spectral theory, Connes' perspective of foliations as examples of non- commutative spaces, and infinite-dimensional examples. The bibliographic appendices list books and surveys on particular aspects of foliations, proceedings of conferences and symposia, all papers on the subject up to 1995, and the numbers of papers published on the subject during the years 1990-95. Annotation copyrighted by Book News, Inc., Portland, OR
The contents of this volume consist of 15 lectures on mathematics and its applications which include the following topics: dynamics of neural network, phase transition of cellular automata, homoclinic bifurcations, ergodic theories of low dimensional dynamical systems, Anosov endomorphisms and Anosov flows, axiom A systems, complex dynamical systems, multi-dimensional holomorphic dynamical systems and holomorphic vector fields.
This book presents new research directions in a very new field which happens to be an old field as well.
This volume adopts a wide and fresh approach to discuss some problems on the theory of dynamical systems in applied sciences.
This book represents a comprehensive update on pulmonary surfactant by merging classical knowledge with new information. Topics include surfactant secretion and alveolar processing and recycling; physical bases and different theoretical models of the physiological mechanism for pulmonary surfactant action; recent findings on surfactant-like material in other organs; developmental processes and multifactorial regulation; etiology and physiopathology of neonatal respiratory distress; and modern methods for functional explorations of the lung in neonates and experimental models in animals. The book also contains a discussion on the management of hyaline membrane disease, from both the experimental and clinical points of view.
Dynamical bifurcation theory is concerned with the changes that occur in the global structure of dynamical systems as parameters are varied. This book makes recent research in bifurcation theory of dynamical systems accessible to researchers interested in this subject. In particular, the relevant results obtained by Chinese mathematicians are introduced as well as some of the works of the authors which may not be widely known. The focus is on the analytic approach to the theory and methods of bifurcations. The book prepares graduate students for further study in this area, and it serves as a ready reference for researchers in nonlinear sciences and applied mathematics.
The field of nonlinear dynamics and low-dimensional chaos has developed rapidly over the past twenty years. The principal advances have been in theoretical aspects but more recent applications in a wide variety of the sciences have been made. Nonlinear Dynamics and Chaos in Semiconductors is the first book to concentrate on specific physical and ex