Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling

The book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 “The EU in the new economic complex geography: models,

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Gian Italo Bischi Anastasiia Panchuk Davide Radi Editors

Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling Lectures Given at the COST Training School on New Economic Complex Geography at Urbino, Italy, 17–19 September 2015

Springer Proceedings in Complexity

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Gian Italo Bischi Anastasiia Panchuk Davide Radi •

Editors

Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling Lectures Given at the COST Training School on New Economic Complex Geography at Urbino, Italy, 17–19 September 2015

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Editors Gian Italo Bischi Università di Urbino “Carlo Bo” Urbino Italy

Davide Radi LIUC - Università Cattaneo Castellanza Italy

Anastasiia Panchuk National Academy of Sciences of Ukraine Kiev Ukraine

ISSN 2213-8684 ISSN 2213-8692 (electronic) Springer Proceedings in Complexity ISBN 978-3-319-33274-1 ISBN 978-3-319-33276-5 (eBook) DOI 10.1007/978-3-319-33276-5 Library of Congress Control Number: 2016939062 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is pu