Vialar | Complex and Chaotic Nonlinear Dynamics | Buch | 978-3-642-09947-2 | sack.de

Buch, Englisch, 752 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1159 g

Vialar

Complex and Chaotic Nonlinear Dynamics

Advances in Economics and Finance, Mathematics and Statistics
Softcover Nachdruck of hardcover 1. Auflage 2009
ISBN: 978-3-642-09947-2
Verlag: Springer

Advances in Economics and Finance, Mathematics and Statistics

Buch, Englisch, 752 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1159 g

ISBN: 978-3-642-09947-2
Verlag: Springer


Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena.

This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic disciplines. Beyond its focus on economics and finance, including for instance the evolution of macroeconomic growth models towards nonlinear structures as well as signal processing applications to stock markets, fundamental parts of the book are devoted to the use of nonlinear dynamics in mathematics, statistics, signal theory and processing.

Numerous examples and applications, almost 700 illustrations and numerical simulations based on the use of Matlab make the book an essential reference for researchers and students from many different disciplines who are interested in the nonlinear field. An appendix recapitulates the basic mathematical concepts required to use the book.

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Research

Weitere Infos & Material


Introduction.- Part I - Investigation Methods of Complex and Chaotic Nonlinear Dynamics.- Nonlinear Theory.- Delay Model, SSA, and Brownian Motions.- Part II - Statistics of Complex and Chaotic Nonlinear Dynamics: Invariants and Rare Events.- Nonlinear Processes and Discrimination.- Statistical and Topological Invariants and Ergodicity.- Part III - Spectral and Time-frequency Theories and Waveforms: Regularity and Singularity.- Spectral and Time-frequency Analyses and Signal Processing.- Atomic Decompositions of Signals.- Part IV - Economic Growth, Instability and Nonlinearity.- Evolution of Economic Growth Models.- Efficiency and Random Walk.- Conclusion and Postface.- Appendix.- Bibliography.- Index.



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