Model Emergent Dynamics In Complex Systems
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Model Emergent Dynamics In Complex Systems
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Author : A. J. Roberts
language : en
Publisher: SIAM
Release Date : 2014-12-18
Model Emergent Dynamics In Complex Systems written by A. J. Roberts and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-18 with Mathematics categories.
Arising out of the growing interest in and applications of modern dynamical systems theory, this book explores how to derive relatively simple dynamical equations that model complex physical interactions. The author’s objectives are to use sound theory to explore algebraic techniques, develop interesting applications, and discover general modeling principles. Model Emergent Dynamics in Complex Systems unifies into one powerful and coherent approach the many varied extant methods for mathematical model reduction and approximation. Using mathematical models at various levels of resolution and complexity, the book establishes the relationships between such multiscale models and clarifying difficulties and apparent paradoxes and addresses model reduction for systems, resolves initial conditions, and illuminates control and uncertainty. The basis for the author’s methodology is the theory and the geometric picture of both coordinate transforms and invariant manifolds in dynamical systems; in particular, center and slow manifolds are heavily used. The wonderful aspect of this approach is the range of geometric interpretations of the modeling process that it produces—simple geometric pictures inspire sound methods of analysis and construction. Further, pictures drawn of state spaces also provide a route to better assess a model’s limitations and strengths. Geometry and algebra form a powerful partnership and coordinate transforms and manifolds provide a powerfully enhanced and unified view of a swathe of other complex system modeling methodologies such as averaging, homogenization, multiple scales, singular perturbations, two timing, and WKB theory. Audience Advanced undergraduate and graduate students, engineers, scientists, and other researchers who need to understand systems and modeling at different levels of resolution and complexity will all find this book useful.
Model Emergent Dynamics In Complex Systems
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Author : Anthony John Roberts
language : en
Publisher:
Release Date : 2015
Model Emergent Dynamics In Complex Systems written by Anthony John Roberts and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Computational complexity categories.
Model Emergent Dynamics In Complex Systems
DOWNLOAD
Author : A. J. Roberts
language : en
Publisher: SIAM
Release Date : 2014-12-18
Model Emergent Dynamics In Complex Systems written by A. J. Roberts and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-18 with Mathematics categories.
Arising out of the growing interest in and applications of modern dynamical systems theory, this book explores how to derive relatively simple dynamical equations that model complex physical interactions. The author?s objectives are to use sound theory to explore algebraic techniques, develop interesting applications, and discover general modeling principles. Model Emergent Dynamics in Complex Systems unifies into one powerful and coherent approach the many varied extant methods for mathematical model reduction and approximation. Using mathematical models at various levels of resolution and complexity, the book establishes the relationships between such multiscale models and clarifying difficulties and apparent paradoxes and addresses model reduction for systems, resolves initial conditions, and illuminates control and uncertainty. The basis for the author?s methodology is the theory and the geometric picture of both coordinate transforms and invariant manifolds in dynamical systems; in particular, center and slow manifolds are heavily used. The wonderful aspect of this approach is the range of geometric interpretations of the modeling process that it produces?simple geometric pictures inspire sound methods of analysis and construction. Further, pictures drawn of state spaces also provide a route to better assess a model?s limitations and strengths. Geometry and algebra form a powerful partnership and coordinate transforms and manifolds provide a powerfully enhanced and unified view of a swathe of other complex system modeling methodologies such as averaging, homogenization, multiple scales, singular perturbations, two timing, and WKB theory.
The Ecological Brain
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Author : Luis H. Favela
language : en
Publisher: Taylor & Francis
Release Date : 2023-12-22
The Ecological Brain written by Luis H. Favela and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-22 with Psychology categories.
The Ecological Brain is the first book of its kind, using complexity science to integrate the seemingly disparate fields of ecological psychology and neuroscience. The book develops a unique framework for unifying investigations and explanations of mind that span brain, body, and environment: the NeuroEcological Nexus Theory (NExT). Beginning with an introduction to the history of the fields, the author provides an assessment of why ecological psychology and neuroscience are commonly viewed as irreconcilable methods for investigating and explaining cognition, intelligent behavior, and the systems that realize them. The book then progresses to its central aim: presenting a unified investigative and explanatory framework offering concepts, methods, and theories applicable across neural and ecological scales of investigation. By combining the core principles of ecological psychology, neural population dynamics, and synergetics under a unified complexity science approach, NExT offers a compressive investigative framework to explain and understand neural, bodily, and environmental contributions to perception-action and other forms of intelligent behavior and thought. The book progresses the conversation around the role of brains in ecological psychology, as well as bodies and environments in neuroscience. It is essential reading for all students of ecological psychology, perception, cognitive sciences, and neuroscience, as well as anyone interested in the history and philosophy of the brain/mind sciences and their state-of-the-art methods and theories.
The Dynamics Of Biological Systems
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Author : Arianna Bianchi
language : en
Publisher: Springer Nature
Release Date : 2019-10-02
The Dynamics Of Biological Systems written by Arianna Bianchi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-02 with Mathematics categories.
The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine. The chapters of this book cover a wide range of mathematical methods and biological applications. They - explain the process of mathematical modelling of biological systems with many examples, - introduce advanced methods from dynamical systems theory, - present many examples of the use of mathematical modelling to gain biological insight - discuss innovative methods for the analysis of biological processes, - contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.
Uncertain Futures
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Author : Jens Beckert
language : en
Publisher: Oxford University Press
Release Date : 2018-07-05
Uncertain Futures written by Jens Beckert and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-05 with Business & Economics categories.
Uncertain Futures considers how economic actors visualize the future and decide how to act in conditions of radical uncertainty. It starts from the premise that dynamic capitalist economies are characterized by relentless innovation and novelty and hence exhibit an indeterminacy that cannot be reduced to measurable risk. The organizing question then becomes how economic actors form expectations and make decisions despite the uncertainty they face. This edited volume lays the foundations for a new model of economic reasoning by showing how, in conditions of uncertainty, economic actors combine calculation with imaginaries and narratives to form fictional expectations that coordinate action and provide the confidence to act. It draws on groundbreaking research in economic sociology, economics, anthropology, and psychology to present theoretically grounded empirical case studies. These demonstrate how grand narratives, central bank forward guidance, economic forecasts, finance models, business plans, visions of technological futures, and new era stories influence behaviour and become instruments of power in markets and societies. The market impact of shared calculative devices, social narratives, and contingent imaginaries underlines the rationale for a new form of narrative economics.
Unifying Themes In Complex Systems Ix
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Author : Alfredo J. Morales
language : en
Publisher: Springer
Release Date : 2018-07-23
Unifying Themes In Complex Systems Ix written by Alfredo J. Morales and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-23 with Science categories.
Unifying Themes in Complex Systems is a well-established series of carefully edited conference proceedings that serve to document and archive the progress made regarding cross-fertilization in this field. The International Conference on Complex Systems (ICCS) creates a unique atmosphere for scientists from all fields, engineers, physicians, executives, and a host of other professionals, allowing them to explore common themes and applications of complex systems science. With this new volume, Unifying Themes in Complex Systems continues to establish common ground between the wide-ranging domains of complex systems science.
Topics In Multiple Time Scale Dynamics
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Author : Maximilian Engel
language : en
Publisher: American Mathematical Society
Release Date : 2024-10-21
Topics In Multiple Time Scale Dynamics written by Maximilian Engel and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-21 with Mathematics categories.
This volume contains the proceedings of the BIRS Workshop "Topics in Multiple Time Scale Dynamics," held from November 27? December 2, 2022, at the Banff International Research Station, Banff, Alberta, Canada. The area of multiple-scale dynamics is rapidly evolving, marked by significant theoretical breakthroughs and practical applications. The workshop facilitated a convergence of experts from various sub-disciplines, encompassing topics like blow-up techniques for ordinary differential equations (ODEs), singular perturbation theory for stochastic differential equations (SDE), homogenization and averaging, slow-fast maps, numerical approaches, and network dynamics, including their applications in neuroscience and climate science. This volume provides a wide-ranging perspective on the current challenging subjects being explored in the field, including themes such as novel approaches to blowing-up and canard theory in unique contexts, complex multi-scale challenges in PDEs, and the role of stochasticity in multiple-scale systems.
Strongly Interacting Quantum Systems Out Of Equilibrium
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Author : Thierry Giamarchi
language : en
Publisher: Oxford University Press
Release Date : 2016-07-07
Strongly Interacting Quantum Systems Out Of Equilibrium written by Thierry Giamarchi and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-07 with Science categories.
Over the last decade new experimental tools and theoretical concepts are providing new insights into collective nonequilibrium behavior of quantum systems. The exquisite control provided by laser trapping and cooling techniques allows us to observe the behavior of condensed bose and degenerate Fermi gases under nonequilibrium drive or after `quenches' in which a Hamiltonian parameter is suddenly or slowly changed. On the solid state front, high intensity short-time pulses and fast (femtosecond) probes allow solids to be put into highly excited states and probed before relaxation and dissipation occur. Experimental developments are matched by progress in theoretical techniques ranging from exact solutions of strongly interacting nonequilibrium models to new approaches to nonequilibrium numerics. The summer school `Strongly interacting quantum systems out of equilibrium' held at the Les Houches School of Physics as its XCIX session was designed to summarize this progress, lay out the open questions and define directions for future work. This books collects the lecture notes of the main courses given in this summer school.
Handbook Of Service Science Volume Ii
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Author : Paul P. Maglio
language : en
Publisher: Springer
Release Date : 2018-10-16
Handbook Of Service Science Volume Ii written by Paul P. Maglio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-16 with Business & Economics categories.
The second volume of this successful handbook represents varied perspectives on the fast-expanding field of Service Science. The novel work collected in these chapters is drawn from both new researchers who have grown-up with Service Science, as well as established researchers who are adapting their frames for the modern service context. The first Handbook of Service Science marked the emergence of Service Science when disciplinary studies of business-to-customer service systems intertwined to meet the needs of a new era of business-to-business and global service ecosystems. Today, the evolving discipline of Service Science involves advanced technologies, such as smartphones, cloud, social platforms, big data analytics, and artificial intelligence. These technologies are reshaping the service landscape, transforming both business models and public policy, ranging from retail and hospitality to transportation and communications. By looking through the eyes of today’s new Service Scientists, it is anticipated that value and grand challenges will emerge from the integration of theories, methods, and techniques brought together in the first volume, but which are now rooted more deeply in service-dominant logic and systems thinking in this second volume. The handbook is divided into four parts: 1) Service Experience--On the Human-centered Nature of Service; 2) Service Systems–On the Nature of Service Interactions; 3) Service Ecosystems–On the Broad Context of Service; 4) Challenges–On Rethinking the Theory and Foundations of Service Science. The chapters add clarity on how to identify, enable, and measure service, thus allowing for new ideas and connections made to physics, design, computer science, and data science and analytics for advancing service innovation and the welfare of society. Handbook of Service Science, Volume II offers a thorough reference suitablefor a wide-reaching audience including researchers, practitioners, managers, and students who aspire to learn about or to create a deeper scientific foundation for service design and engineering, service experience and marketing, and service management and innovation.