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Combinations of Complex Dynamical Systems (Lecture Notes in Mathematics)



Combinations of Complex Dynamical Systems (Lecture Notes in Mathematics)
ISBN: 3540201734
Author: Kevin M. Pilgrim
Publisher: Springer
Edition: 1 edition (December 5, 2003)
Paperback: 118 pages
URL: /http://www.amazon.com/exec/obidos/redirect?tag=songstech-20&path=ASIN%2F3540201734
Summary:
This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical systems on the Riemann sphere. It is intended for researchers interested in the classification of those complex one-dimensional dynamical systems which are in some loose sense tame. The program is motivated by the dictionary between the theories of iterated rational maps and Kleinian groups.

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Engineering Vibration Analysis with Application to Control Systems



ISBN: 034063183X
Author: C. Beards
Publisher: Butterworth-Heinemann
URL: /http://www.amazon.com/exec/obidos/redirect?tag=songstech-20&path=ASIN%2F034063183X
Summary:
Most machines and structures are required to operate with low levels of vibration as smooth running leads to reduced stresses and fatigue and little noise. This book provides a thorough explanation of the principles and methods used to analyse the vibrations of engineering systems, combined with a description of how these techniques and results can be applied to the study of control system dynamics. Numerous worked examples are included, as well as problems with worked solutions, and particular attention is paid to the mathematical modelling of dynamic systems and the derivation of the equations of motion.

All engineers, practising and student, should have a good understanding of the methods of analysis available for predicting the vibration response of a system and how it can be modified to produce acceptable results. This text provides an invaluable insight into both.

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Invitation to Dynamical Systems



With this unique text, Scheinerman invites students from a wide range of backgrounds with limited technical prerequisites to explore the beauty and excitement of dynamical systems and of mathematics in general. The text is designed for students who want to continue exploring mathematics beyond linear algebra, but are not ready for highly abstract material. Rather than taking a dry theorem-proof-corollark-remark style, the text stresses the geometry, intuition, and appreciation of dynamical systems.
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Modeling Complex Systems (Graduate Texts in Contemporary Physics)



Title: Modeling Complex Systems (Graduate Texts in Contemporary Physics)
ISBN: 0387404627
Author: Nino Boccara
Publisher: Springer
Edition: 1 edition (November 18, 2003)
Hardcover: 397 pages
URL: http://www.amazon.com/exec/obidos/re...N%2F0387404627
Summary:
This book explores the process of modeling complex systems in the widest sense of that term, drawing on examples from such diverse fields as ecology, epidemiology, sociology, seismology, as well as economics. It also provides the mathematical tools for studying the dynamics of these systems. Boccara takes a carefully inductive approach in defining what it means for a system to be >complex< (and at the same time addresses the equally elusive concept of emergent properties). This is the first text on the subject to draw comprehensive conclusions from such a wide range of analogous phenomena.