Ditemukan 5 dokumen yang sesuai dengan query
Meiss, James D.
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Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.
Differential Dynamical Systems begins with coverage of linear systems, ...
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Philadelphia: Society for Industrial and Applied Mathematics, 2007
e20448928
eBooks Universitas Indonesia Library
Govaerts, Willy J.F.
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Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems. This subfield has the particular attraction of having links with the geometric theory of differential equations, numerical analysis, and linear algebra.
Several features make this book unique. The first is the systematic use of bordered matrix methods in the numerical computation and ...
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Philadelphia : Society for Industrial and Applied Mathematics, 2000
e20442744
eBooks Universitas Indonesia Library
Ingram, W.T.
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Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also turn the study of a dynamical system consisting of a space and a self-map into a study of a (likely more complicated) space and a self-homeomorphism. In four chapters along with an appendix containing background material the authors develop the theory of inverse limits. The book begins with an introduction through inverse limits on [0,1] before moving to a general ...
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New York: [Springer, ], 2012
e20419222
eBooks Universitas Indonesia Library
Kielhöfer, Hansjörg
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This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in ...
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New York: [Springer, ], 2012
e20419196
eBooks Universitas Indonesia Library
Antoulas, Athanasios C.
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Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational, accuracy, and storage capabilities, model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical ...
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Philadelphia : Society for Industrial and Applied Mathematics, 2005
e20443011
eBooks Universitas Indonesia Library
