Viability Theory: New Directions

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Springer Science & Business Media, Jul 13, 2011 - Science - 803 pages
Viability theory designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to economics, from environmental sciences to financial markets, from control theory and robotics to cognitive sciences. It involves interdisciplinary investigations spanning fields that have traditionally developed in isolation. The purpose of this book is to present an initiation to applications of viability theory, explaining and motivating the main concepts and illustrating them with numerous numerical examples taken from various fields.
 

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Contents

Overview and Organization
1
Part I Viability Kernels and Examples
42
Part II Mathematical Properties of Viability Kernels
272
Part III FirstOrder Partial Differential Equations
521
Part IV Appendices
712
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