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Introduction to the Qualitative Theory of Differential Systems Planar, Symmetric and Continuous Piecewise Linear Systems /

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 intere...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Llibre, Jaume (Autor), Teruel, Antonio E. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Birkhäuser Advanced Texts Basler Lehrbücher,
Temas:
Acceso en línea:Texto Completo

MARC

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100 1 |a Llibre, Jaume.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Introduction to the Qualitative Theory of Differential Systems  |h [electronic resource] :  |b Planar, Symmetric and Continuous Piecewise Linear Systems /  |c by Jaume Llibre, Antonio E. Teruel. 
250 |a 1st ed. 2014. 
264 1 |a Basel :  |b Springer Basel :  |b Imprint: Springer,  |c 2014. 
300 |a XIII, 289 p. 84 illus., 1 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a Birkhäuser Advanced Texts Basler Lehrbücher,  |x 2296-4894 
505 0 |a 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.  . 
520 |a 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. 
650 0 |a Differential equations. 
650 0 |a System theory. 
650 0 |a Control theory. 
650 1 4 |a Differential Equations. 
650 2 4 |a Systems Theory, Control . 
700 1 |a Teruel, Antonio E.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)