Ditemukan 10 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
Verhulst, Ferdinand
New York: Springer-Verlag , 1989
515.355 VER n
Buku Teks 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
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
Luo, Albert C.J.
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The book includes a theory for flow barriers and passability to boundaries in discontinuous dynamical systems that will completely change traditional concepts and ideas in the field of dynamical systems. Edge dynamics and switching complexity of flows in discontinuous dynamical systems are explored in the book and provide the mathematical basis for developing the attractive network channels in dynamical systems. The theory of bouncing flows to boundaries, edges and vertexes in discontinuous dynamical systems with ...
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Berlin: Springer, 2012
e20420345
eBooks Universitas Indonesia Library
Herlambang Cipta Aji
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Hubungan manusia dan sumberdaya air penting dan saling mempengaruhi satu sama lain. Salah satu peristiwa yang perlu mendapat perhatian adalah kontaminasi air tanah melalui dinding sungai. Makalah skripsi ini mengusulkan suatu protokol untuk memodelkan kejadian tersebut menggunakan seepage tank. Pemodelan ini meliputi aliran air melalui media berpori pada kondisi steady dan unsteady serta transpor pencemar mekanisme adveksi-dispersi yang terjadi akibat point-source loading. Meski demikian, terdapat kekurangan dalam analisa hasil pemodelan ini sehingga dibutuhkan pengembangan yang ...
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Depok: Fakultas Teknik Universitas Indonesia, 2012
S43905
UI - Skripsi Open 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
Trisna Vidia Putri
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Avian flu dan swine flu merupakan penyakit pernapasan menular yang disebabkan oleh virus influenza yang menyerang hidung, tenggorokan, bronkus, dan terkadang paru-paru. Infeksi yang disebabkan mulai dari penyakit ringan, berat, dan bahkan kematian. Peristiwa genetic reassortment dapat membentuk suatu virus baru yang merupakan gabungan kemampuan dari virus avian flu dan swine flu yang disebut mutant-type flu. Pengobatan dengan obat antiviral digunakan untuk proses penyembuhan ketiga penyakit tersebut.
Untuk mengetahui model penyebaran penyakit tersebut, digunakan model ...
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Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 2018
S-Pdf
UI - Skripsi Membership Universitas Indonesia Library
Barreira, Luis
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The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research, ergodic theory, hyperbolic dynamics, and dimension theory. Furthermore, it includes an introduction to the thermodynamic formalism, which is an important tool in dimension theory ...
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Berlin: Springer, 2012
e20420373
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
