Hasil Pencarian  ::  Simpan CSV :: Kembali

"This book presents a new approach for the analysis of chaotic behavior in non-linear dynamical systems, in which output can be represented in quaternion parametrization. It offers a new family of methods for the analysis of chaos in the quaternion domain along with extensive numerical experiments performed on human motion data and artificial data. All methods and algorithms are designed to allow detection of deterministic chaos behavior in quaternion data representing the rotation of a body in 3D space. This book is an excellent reference for engineers, researchers, and postgraduate students conducting research on human gait analysis, healthcare informatics, dynamical systems with deterministic chaos or time series analysis."

"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, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts low, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple, Mathematica, and MATLAB software to give students practice with computation applied to dynamical systems problems."

"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 multi-valued vector fields is described in the book as a “billiard” theory of dynamical system networks. The theory of dynamical system interactions in discontinued dynamical systems can be used as a general principle in dynamical system networks, which is applied to dynamical system synchronization.　"

"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 continuation of various bifurcations. The second is a detailed treatment of bialternate matrix products and their Jordan structure. Govaerts discusses their use in the numerical methods for Hopf and related bifurcations. A third feature is a unified treatment of singularity theory, with and without a distinguished bifurcation parameter, from a numerical point of view. Finally, numerical methods for symmetry-breaking bifurcations are discussed in detail, up to the fundamental cases covered by the equivariant branching lemma."

"Instructors, students, and researchers will all benefit from this book, which demonstrates how to use software tools to simulate and study sets of equations that arise in a variety of applications. Instructors will learn how to use computer software in their differential equations and modeling classes, while students will learn how to create animations of their equations that can be displayed on the World Wide Web. Researchers will be introduced to useful tricks that will allow them to take full advantage of XPPAUT's capabilities. In addition, readers will learn several concepts from the field of dynamical systems, including chaos theory, how systems depend on parameters, and how simple physical systems can lead to complicated behavior."

"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 linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications."

"What are the principles that keep our society together? By examining simple models of social interaction, this volume addresses this question, offering surprising insights into the social, "macro-level" outcomes and dynamics implied by individual, "micro-level" interactions."

"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 epidemi SIR beserta analisa titik keseimbangan, kestabilan, dan basic reproduction number R0 dengan metode pendekatan Next Generation Matrix NGM. Pendekatan pada model menggunakan model deterministik dengan sistem persamaan diferensial berdimensi tujuh. Kajian analitik dan numerik digunakan untuk interpretasi pada hasil yang diberikan oleh model. Dari hasil kajian tersebut, diperoleh 3 nilai basic reproduction number yang menjadi faktor penentu bertahannya penyakit avian flu dan swine flu di lingkungan.

---

Avian flu and swine flu are respiratory infectious diseases caused by influenza viruses that attack the nose, throat, bronchus, and sometimes the lungs. Infections caused from mild, severe, and even death. The genetic reassortment can produce a new virus that is a combination of avian flu and swine flu viruses called mutant type flu. Treatment with antiviral drugs is used for the healing process of these diseases.

To find out the model of the spread disease, SIR epidemic model used with the analysis of the equilibrium point, stability, and basic reproduction number R0 with the Next Generatin Matrix NGM approach. The model approach uses a deterministic model with a seven dimensional differential equation system. Analytic and numerical studies are used for the interpretation of the results provided by the model. From the result of the study, we get 3 values of basic reproduction number which becomes the determinant factor for the survival of avian flu and swine flu diseases in the environtment."