Dynamical Systems In Theoretical Perspective
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Dynamical Systems In Theoretical Perspective
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Author : Jan Awrejcewicz
language : en
Publisher: Springer
Release Date : 2018-09-01
Dynamical Systems In Theoretical Perspective written by Jan Awrejcewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-01 with Mathematics categories.
This book focuses on theoretical aspects of dynamical systems in the broadest sense. It highlights novel and relevant results on mathematical and numerical problems that can be found in the fields of applied mathematics, physics, mechanics, engineering and the life sciences. The book consists of contributed research chapters addressing a diverse range of problems. The issues discussed include (among others): numerical-analytical algorithms for nonlinear optimal control problems on a large time interval; gravity waves in a reservoir with an uneven bottom; value distribution and growth of solutions for certain Painlevé equations; optimal control of hybrid systems with sliding modes; a mathematical model of the two types of atrioventricular nodal reentrant tachycardia; non-conservative instability of cantilevered nanotubes using the Cell Discretization Method; dynamic analysis of a compliant tensegrity structure for use in a gripper application; and Jeffcott rotor bifurcation behavior using various models of hydrodynamic bearings.
Ergodic Theory And Dynamical Systems
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Author : Yves Coudène
language : en
Publisher: Springer
Release Date : 2016-11-10
Ergodic Theory And Dynamical Systems written by Yves Coudène and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-10 with Mathematics categories.
This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics. This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by numerous examples, including interval maps, Bernoulli shifts, toral endomorphisms, geodesic flow on negatively curved manifolds, Morse-Smale systems, rational maps on the Riemann sphere and strange attractors. Ergodic Theory and Dynamical Systems will appeal to graduate students as well as researchers looking for an introduction to the subject. While gentle on the beginning student, the book also contains a number of comments for the more advanced reader.
A Dynamic Systems Theory Perspective On L2 Writing Development
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Author : Shaopeng Li
language : en
Publisher: Routledge
Release Date : 2022-03-23
A Dynamic Systems Theory Perspective On L2 Writing Development written by Shaopeng Li and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-23 with Language Arts & Disciplines categories.
From the perspective of empirical complex dynamic systems, this book investigates the complex and nonlinear process of L2 writing centering on three linguistic aspects of L2 writing development: vocabulary, syntax, and discourse. Combining dynamic systems theory, variation analysis, as well as data and cases studies from Chinese EFL learners’ writing, the book critically engages with the heated discussion on dynamic patterns of L2 writing development that focus heavily on the linguistic dimensions of complexity, accuracy and fluency. The author expands the scope of the research by integrating both linguistic and functional dimensions of L2 output and examines the interaction and co-development of these dimensions. This framework helps delineate a full picture of individual learners’ L2 writing dynamic patterns across all components of their communicative repertoire. The research findings suggest the developmental path of writing system for each EFL learner may differ, which is influenced by their different learning characteristics and learning environments in China. The title will appeal to scholars interested in applied linguistics and second language acquisition. Suggestions on pedagogy and language learning advanced in the book will also make it a useful read for L2 language learners and TESOL and TEFL teachers.
Dynamical Systems In Applications
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Author : Jan Awrejcewicz
language : en
Publisher: Springer
Release Date : 2019-09-17
Dynamical Systems In Applications written by Jan Awrejcewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-17 with categories.
Dynamical Systems In Neuroscience
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Author : Eugene M. Izhikevich
language : en
Publisher: MIT Press
Release Date : 2007
Dynamical Systems In Neuroscience written by Eugene M. Izhikevich and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Differentiable dynamical systems categories.
In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want to learn the basic facts of electrophysiology. Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties. The book introduces dynamical systems, starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. The book explains all necessary mathematical concepts using geometrical intuition; it includes many figures and few equations, making it especially suitable for non-mathematicians. Each concept is presented in terms of both neuroscience and mathematics, providing a link between the two disciplines. Nonlinear dynamical systems theory is at the core of computational neuroscience research, but it is not a standard part of the graduate neuroscience curriculum—or taught by math or physics department in a way that is suitable for students of biology. This book offers neuroscience students and researchers a comprehensive account of concepts and methods increasingly used in computational neuroscience. An additional chapter on synchronization, with more advanced material, can be found at the author's website, www.izhikevich.com.
Dynamic Systems Theory And Embodiment In Psychotherapy Research A New Look At Process And Outcome
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Author : Sergio Salvatore
language : en
Publisher: Frontiers Media SA
Release Date : 2016-04-11
Dynamic Systems Theory And Embodiment In Psychotherapy Research A New Look At Process And Outcome written by Sergio Salvatore and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-11 with Psychology categories.
In an attempt to cease from reducing the world and its (emergent) phenomena to linear modeling and analytic dissection, Dynamic Systems Theories (DST) and Embodiment theories and methods aim at accounting for the complex, dynamic, and non-linear phenomena that we constantly deal with in psychology. For instance, DST and Embodiment can enrich psychology’s understanding of the communicative process both in clinical and non-clinical settings. In psychotherapy, an important amount of research has shown that – next to other ingredients – the therapeutic relationship is the most important active factor contributing to psychotherapy outcome. These findings give communication a central role in the psychotherapy process. In the traditional view, the underlying model of understanding psychotherapy processes is that of a number of components summatively coming together enabling us to make a linear causal prediction. Yet, communication is inherently dynamic. A shift to viewing the communication process in psychotherapy as a field dynamic phenomenon helps us to take into account nonlinear phenomena, such as feedback processes within and between persons. We thus propose an embodied enactive dynamic systems view as a new theoretical and methodological perspective that can more realistically capture what happens among and between two persons in psychotherapy. This view reaches beyond the current narrow model of psychotherapy research. DST and Embodied Enactive Approaches can offer solutions to the loss of non-linear phenomena, the complex dynamics of reality, and the holistic level of analysis. DST and Embodied Enactive Approaches have developed not in a single discipline but in a joined movement based on various fields such as physics, biology, robotics, anthropology, philosophy, linguistics, neuroscience, and psychology, and have only recently entered clinical theorizing. The two new paradigms have already triggered a rethinking of the therapeutic exchange by recognizing the embodied nature of psychological and communicative phenomena. Their integration opens up a promising scenario in the field of psychotherapy research, developing new, profoundly transdisciplinary, theoretical concepts, methodologies, and standards of knowledge. The notion of field dynamics enables us to account for the role of the communicational context in the regulation of intra-psychological processes, while at the same time avoiding the pitfalls of an ontologization of the hierarchy of systemic organization. Moreover, the new approach implements methodological strategies that can transcend the conventional opposition between idiographic and nomothetic sciences.
Complex Dynamic Systems Theory And L2 Writing Development
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Author : Gary G. Fogal
language : en
Publisher: John Benjamins Publishing Company
Release Date : 2020-06-04
Complex Dynamic Systems Theory And L2 Writing Development written by Gary G. Fogal and has been published by John Benjamins Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-04 with Foreign Language Study categories.
This volume integrates complex dynamic systems theory (CDST) and L2 writing scholarship through a collection of in-depth studies and commentary across a range of writing constructs, learning contexts, and second and foreign languages. The text is arranged thematically across four topics: (i) perspectives on complexity, accuracy, and fluency, (ii) new constructs, approaches, and domains of L2-writing scholarship, (iii) methodological issues, and finally (iv) curricular perspectives. This work should appeal to graduate students and academics interested in expanded discussions on CDST, highlighting its utility for theorizing and researching language change, and to L2 writing scholars curious about how this fresh approach to researching L2 development can inform understandings of how L2 writing develops. As a CDST approach to language change has matured and taken a place among the dominant epistemologies in the field, students and researchers of L2 development alike will benefit from this volume.
Handbook Of Child Psychology Theoretical Models Of Human Development
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Author : William Damon
language : en
Publisher: John Wiley & Sons
Release Date : 2006-05-19
Handbook Of Child Psychology Theoretical Models Of Human Development written by William Damon and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-19 with Psychology categories.
Part of the authoritative four-volume reference that spans the entire field of child development and has set the standard against which all other scholarly references are compared. Updated and revised to reflect the new developments in the field, the Handbook of Child Psychology, Sixth Edition contains new chapters on such topics as spirituality, social understanding, and non-verbal communication. Volume 1: Theoretical Models of Human Development, edited by Richard M. Lerner, Tufts University, explores a variety of theoretical approaches, including life-span/life-course theories, socio-culture theories, structural theories, object-relations theories, and diversity and development theories. New chapters cover phenomenology and ecological systems theory, positive youth development, and religious and spiritual development.
The Cambridge Handbook Of Environment In Human Development
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Author : Linda Mayes
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-27
The Cambridge Handbook Of Environment In Human Development written by Linda Mayes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-27 with Psychology categories.
Families, communities and societies influence children's learning and development in many ways. This is the first handbook devoted to the understanding of the nature of environments in child development. Utilizing Urie Bronfenbrenner's idea of embedded environments, this volume looks at environments from the immediate environment of the family (including fathers, siblings, grandparents and day-care personnel) to the larger environment including schools, neighborhoods, geographic regions, countries and cultures. Understanding these embedded environments and the ways in which they interact is necessary to understand development.
Differential Equations Dynamical Systems And An Introduction To Chaos
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Author : Morris W. Hirsch
language : en
Publisher: Academic Press
Release Date : 2004
Differential Equations Dynamical Systems And An Introduction To Chaos written by Morris W. Hirsch and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Business & Economics categories.
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.