Chaos & Nonlinear Dynamics in the Financial Markets

Chaos & Nonlinear Dynamics in the Financial Markets
Author: Robert R. Trippi
Publisher: Robert Trippi
Total Pages: 546
Release: 1995
Genre: Business & Economics
ISBN:

Computer disk illustrates behavior of several of the chaotic processes discussed in text. Assists the user in viewing the change in a system from unstable to stable states.

Complex and Chaotic Nonlinear Dynamics

Complex and Chaotic Nonlinear Dynamics
Author: Thierry Vialar
Publisher: Springer Science & Business Media
Total Pages: 752
Release: 2009-04-26
Genre: Business & Economics
ISBN: 3540859780

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.

Chaos Theory in the Financial Markets

Chaos Theory in the Financial Markets
Author: Dimitris N. Chorafas
Publisher: McGraw Hill Professional
Total Pages: 420
Release: 1994-03-22
Genre: Business & Economics
ISBN: 9781557385550

Chaos theory is a revolutionary approach to understanding and forecasting the behavior of complex systems. The theory, which utilizes nonlinear mathematics to identify the underlying rules of evolving systems, provides extraordinary insights into the dynamics of the financial markets. In so doing, Dr. Chorafas explores a variety of new approaches that provide an entirely new perspective on financial market analysis and forecasting. Topics include: the concepts and mathematics of chaos theory; using nonlinear equations and fractals to forecast the currency market; genetic algorithms and neural networks.

Chaos and Complexity Theory for Management: Nonlinear Dynamics

Chaos and Complexity Theory for Management: Nonlinear Dynamics
Author: Banerjee, Santo
Publisher: IGI Global
Total Pages: 449
Release: 2012-11-30
Genre: Business & Economics
ISBN: 1466625104

Although chaos theory refers to the existence between seemingly random events, it has been gaining the attention of science, technology and managements fields. The shift from traditional procedures to the dynamics of chaos and complexity theory has resulted in a new element of complexity thinking, allowing for a greater capability for analyzing and understanding key business processes. Chaos and Complexity Theory for Management: Nonlinear Dynamics explores chaos and complexity theory and its relationship with the understanding of natural chaos in the business environment. Utilizing these theories aids in comprehending the development of businesses as a complex adaptive system.

Fractal Market Analysis

Fractal Market Analysis
Author: Edgar E. Peters
Publisher: John Wiley & Sons
Total Pages: 341
Release: 1994-02-08
Genre: Business & Economics
ISBN: 0471585246

A leading pioneer in the field offers practical applications of this innovative science. Peters describes complex concepts in an easy-to-follow manner for the non-mathematician. He uses fractals, rescaled range analysis and nonlinear dynamical models to explain behavior and understand price movements. These are specific tools employed by chaos scientists to map and measure physical and now, economic phenomena.

Modelling and Forecasting Financial Data

Modelling and Forecasting Financial Data
Author: Abdol S. Soofi
Publisher: Springer Science & Business Media
Total Pages: 528
Release: 2002-03-31
Genre: Business & Economics
ISBN: 9780792376804

Over the last decade, dynamical systems theory and related nonlinear methods have had a major impact on the analysis of time series data from complex systems. Recent developments in mathematical methods of state-space reconstruction, time-delay embedding, and surrogate data analysis, coupled with readily accessible and powerful computational facilities used in gathering and processing massive quantities of high-frequency data, have provided theorists and practitioners unparalleled opportunities for exploratory data analysis, modelling, forecasting, and control. Until now, research exploring the application of nonlinear dynamics and associated algorithms to the study of economies and markets as complex systems is sparse and fragmentary at best. Modelling and Forecasting Financial Data brings together a coherent and accessible set of chapters on recent research results on this topic. To make such methods readily useful in practice, the contributors to this volume have agreed to make available to readers upon request all computer programs used to implement the methods discussed in their respective chapters. Modelling and Forecasting Financial Data is a valuable resource for researchers and graduate students studying complex systems in finance, biology, and physics, as well as those applying such methods to nonlinear time series analysis and signal processing.

Chaos Theory in Economics

Chaos Theory in Economics
Author: W. Davis Dechert
Publisher:
Total Pages: 632
Release: 1996
Genre: Business & Economics
ISBN:

A collection of essays which bring together three basic aspects of research into nonlinear dynamics and economics. The first papers deal with the theoretical methods used in analyzing chaotic dynamics and the statistical tools to detect the presence of non-linearities in economic data. The following articles discuss the models which are currently being used to stimulate nonlinear economic phenomena. The final papers apply these methods to a number of economic time series.

Nonlinear Time Series Analysis

Nonlinear Time Series Analysis
Author: Holger Kantz
Publisher: Cambridge University Press
Total Pages: 390
Release: 2004
Genre: Mathematics
ISBN: 9780521529020

The paradigm of deterministic chaos has influenced thinking in many fields of science. Chaotic systems show rich and surprising mathematical structures. In the applied sciences, deterministic chaos provides a striking explanation for irregular behaviour and anomalies in systems which do not seem to be inherently stochastic. The most direct link between chaos theory and the real world is the analysis of time series from real systems in terms of nonlinear dynamics. Experimental technique and data analysis have seen such dramatic progress that, by now, most fundamental properties of nonlinear dynamical systems have been observed in the laboratory. Great efforts are being made to exploit ideas from chaos theory wherever the data displays more structure than can be captured by traditional methods. Problems of this kind are typical in biology and physiology but also in geophysics, economics, and many other sciences.

Biological Systems: Nonlinear Dynamics Approach

Biological Systems: Nonlinear Dynamics Approach
Author: Jorge Carballido-Landeira
Publisher: Springer
Total Pages: 106
Release: 2019-04-29
Genre: Mathematics
ISBN: 303016585X

This book collects recent advances in the field of nonlinear dynamics in biological systems. Focusing on medical applications as well as more fundamental questions in biochemistry, it presents recent findings in areas such as control in chemically driven reaction-diffusion systems, electrical wave propagation through heart tissue, neural network growth, chiral symmetry breaking in polymers and mechanochemical pattern formation in the cytoplasm, particularly in the context of cardiac cells. It is a compilation of works, including contributions from international scientists who attended the “2nd BCAM Workshop on Nonlinear Dynamics in Biological Systems,” held at the Basque Center for Applied Mathematics, Bilbao in September 2016. Embracing diverse disciplines and using multidisciplinary approaches – including theoretical concepts, simulations and experiments – these contributions highlight the nonlinear nature of biological systems in order to be able to reproduce their complex behavior. Edited by the conference organizers and featuring results that represent recent findings and not necessarily those presented at the conference, the book appeals to applied mathematicians, biophysicists and computational biologists.