Frontiers in Applied Dynamical Systems: Reviews and Tutorials – serie
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10 produkter
Modeling with Nonsmooth Dynamics
Häftad, 2020
551 kr
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This volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a ‘non-smooth’ definition. A review of current ideas and introduction to key methods …
Geometric Singular Perturbation Theory Beyond the Standard Form
Häftad, 2020
769 kr
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This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT).It is the first …
Stochastic Dynamics in Computational Biology
Av Stefanie Winkelmann, Christof Schütte
Häftad, 2021
877 kr
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The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations. Another …
Braids and Dynamics
Häftad, 2022
551 kr
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This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. In addition, its final chapters also briefly discuss current applications in …
Nonautonomous Bifurcation Theory
Concepts and Tools
Av Vasso Anagnostopoulou, Christian Pötzsche m. fl.
Häftad, 2023
934 kr
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Bifurcation theory is a major topic in dynamical systems theory with profound applications. However, in contrast to autonomous dynamical systems, it is not clear what a bifurcation of a nonautonomous dynamical system actually is, and so far, various different approaches to describe qualitative …
Mathematical Analysis of Complex Cellular Activity
Av Richard Bertram, Joel Tabak m. fl.
Häftad, 2015
551 kr
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This book contains two review articles on mathematical physiology that deal with closely related topics but were written and can be read independently.The first article reviews the basic theory of calcium oscillations (common to almost all cell types), including spatio-temporal behaviors such as …
Nonlinear Data Assimilation
Av Peter Jan Van Leeuwen, Yuan Cheng m. fl.
Häftad, 2015
442 kr
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This book contains two review articles on nonlinear data assimilation that deal with closely related topics but were written and can be read independently. Both contributions focus on so-called particle filters.The first contribution by Jan van Leeuwen focuses on the potential of proposal …
Dynamics of Partial Differential Equations
Av C. Eugene Wayne, Michael I. Weinstein
Häftad, 2015
442 kr
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This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently.Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex …
Dynamical Systems on Networks
A Tutorial
Av Mason Porter, James Gleeson
Häftad, 2016
442 kr
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This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that are analytically tractable, because they are insightful and …
Introduction to Turbulent Dynamical Systems in Complex Systems
Häftad, 2016
551 kr
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This volume is a research expository article on the applied mathematics of turbulent dynamical systems through the paradigm of modern applied mathematics. It involves the blending of rigorous mathematical theory, qualitative and quantitative modeling, and novel numerical procedures driven by the …