Availability: Introduction to the qualitative theory of differential systems

Introduction to the qualitative theory of differential systems: planar, symmetric and continuous piecewise linear systems

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Main Authors:	Llibre, Jaume 1952- (Author), Teruel, Antonio E. (Author)
Format:	Electronic eBook
Language:	English
Published:	Basel [u.a.] Springer 2014
Series:	Birkhäuser advanced texts
Links:	https://doi.org/10.1007/978-3-0348-0657-2 https://doi.org/10.1007/978-3-0348-0657-2 https://doi.org/10.1007/978-3-0348-0657-2 https://doi.org/10.1007/978-3-0348-0657-2 https://doi.org/10.1007/978-3-0348-0657-2 https://doi.org/10.1007/978-3-0348-0657-2 https://doi.org/10.1007/978-3-0348-0657-2 https://doi.org/10.1007/978-3-0348-0657-2 https://doi.org/10.1007/978-3-0348-0657-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027069344&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027069344&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	1 Online-Ressource
ISBN:	9783034806565 9783034806572
DOI:	10.1007/978-3-0348-0657-2

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Record in the Search Index

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adam_text	INTRODUCTION TO THE QUALITATIVE THEORY OF DIFFERENTIAL SYSTEMS / LLIBRE, JAUME : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE 1 INTRODUCTION AND STATEMENT OF THE MAIN RESULTS 2 BASIC ELEMENTS OF THE QUALITATIVE THEORY OF ODES 3 FUNDAMENTAL SYSTEMS 4 RETURN MAPS 5 PHASE PORTRAITS INDEX BIBLIOGRAPHY. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. INTRODUCTION TO THE QUALITATIVE THEORY OF DIFFERENTIAL SYSTEMS / LLIBRE, JAUME : 2014 ABSTRACT / INHALTSTEXT THE BOOK DEALS WITH CONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN THE PLANE WITH THREE PIECES SEPARATED BY A PAIR OF PARALLEL STRAIGHT LINES. THESE DIFFERENTIAL SYSTEMS ARE SYMMETRIC WITH RESPECT TO THE ORIGIN OF COORDINATES. THIS CLASS OF SYSTEMS, DRIVEN BY CONCRETE APPLICATIONS, IS OF INTEREST IN ENGINEERING, IN PARTICULAR IN CONTROL THEORY AND THE DESIGN OF ELECTRIC CIRCUITS. BY STUDYING THESE PARTICULAR DIFFERENTIAL SYSTEMS, WE WILL INTRODUCE THE BASIC TOOLS OF THE QUALITATIVE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS, WHICH ALLOW US TO DESCRIBE THE GLOBAL DYNAMICS OF THESE SYSTEMS INCLUDING THE DYNAMICS AT INFINITY. THE BEHAVIOR OF THEIR SOLUTIONS, THEIR PARAMETRIC STABILITY OR INSTABILITY AND THEIR BIFURCATIONS ARE DESCRIBED. THE BOOK IS HIGHLY SUITABLE FOR A FIRST COURSE IN THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS OR DYNAMICAL SYSTEMS, PARTICULARLY FOR ENGINEERS, MATHEMATICIANS, AND PHYSICISTS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spellingShingle	Llibre, Jaume 1952- Teruel, Antonio E. Introduction to the qualitative theory of differential systems planar, symmetric and continuous piecewise linear systems
title	Introduction to the qualitative theory of differential systems planar, symmetric and continuous piecewise linear systems
title_auth	Introduction to the qualitative theory of differential systems planar, symmetric and continuous piecewise linear systems
title_exact_search	Introduction to the qualitative theory of differential systems planar, symmetric and continuous piecewise linear systems
title_full	Introduction to the qualitative theory of differential systems planar, symmetric and continuous piecewise linear systems Jaume Llibre ; Antonio E. Teruel
title_fullStr	Introduction to the qualitative theory of differential systems planar, symmetric and continuous piecewise linear systems Jaume Llibre ; Antonio E. Teruel
title_full_unstemmed	Introduction to the qualitative theory of differential systems planar, symmetric and continuous piecewise linear systems Jaume Llibre ; Antonio E. Teruel
title_short	Introduction to the qualitative theory of differential systems
title_sort	introduction to the qualitative theory of differential systems planar symmetric and continuous piecewise linear systems
title_sub	planar, symmetric and continuous piecewise linear systems
url	https://doi.org/10.1007/978-3-0348-0657-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027069344&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027069344&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT llibrejaume introductiontothequalitativetheoryofdifferentialsystemsplanarsymmetricandcontinuouspiecewiselinearsystems AT teruelantonioe introductiontothequalitativetheoryofdifferentialsystemsplanarsymmetricandcontinuouspiecewiselinearsystems

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