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The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov’s first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can’t be inferred on the basis of the first approximation alone. The book is illustrated with a large number of concrete examples of systems in which the presence of a particular solution of a certain class is related to special properties of the system’s dynamic behavior. It is a book for students and specialists who work with dynamical systems in the fields of mechanics, mathematics, and theoretical physics.
This volume contains contributed papers authored by participants of a Conference on Differential Equations and Dynamical Systems which was held at the Instituto Superior Tecnico (Lisbon, Portugal). The conference brought together a large number of specialists in the area of differential equations and dynamical systems and provided an opportunity to celebrate Professor Waldyr Oliva's 70th birthday, honoring his fundamental contributions to the field. The volume constitutes anoverview of the current research over a wide range of topics, extending from qualitative theory for (ordinary, partial or functional) differential equations to hyperbolic dynamics and ergodic theory.
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Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
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Neither Here nor There: The Many Voices of Liminality draws together the expertise, experience, and insights of a coterie of authors, all of whom relate the core concepts of liminality to their unique contexts. The experience of and inquiry into liminal phenomena have developed into a distinct discipline of study which now crosses and informs many areas of thought, including anthropology, sociology, theology, psychology, literature and education. New vistas of interdisciplinary study have opened as a result of sharing the common language and symbol system of liminality. This anthology reflects the current resurgence of liminality and provides a critical source book ideal for individual reflection, study groups, classes and seminars. From the inner workings of spiritual life to large social transformations, liminality now provides a powerful interpretive tool and effective method for spiritual direction, teaching and leadership.