Integrability of Dynamical Systems: Algebra and Analysis

This is the first book to systematically state the fundamental theory of integrability and its development of ordinary differential equations with emphasis on the Darboux theory of integrability and local integrability together with their applications. It summarizes the classical results of Darboux...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Zhang, Xiang (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2017.
Σειρά:Developments in Mathematics, 47
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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490 1 |a Developments in Mathematics,  |x 1389-2177 ;  |v 47 
520 |a This is the first book to systematically state the fundamental theory of integrability and its development of ordinary differential equations with emphasis on the Darboux theory of integrability and local integrability together with their applications. It summarizes the classical results of Darboux integrability and its modern development together with their related Darboux polynomials and their applications in the reduction of Liouville and elementary integrabilty and in the center—focus problem, the weakened Hilbert 16th problem on algebraic limit cycles and the global dynamical analysis of some realistic models in fields such as physics, mechanics and biology.    Although it can be used as a textbook for graduate students in dynamical systems, it is intended as supplementary reading for graduate students from mathematics, physics, mechanics and engineering in courses related to the qualitative theory, bifurcation theory and the theory of integrability of dynamical systems. 
650 0 |a Mathematics. 
650 0 |a Differential equations. 
650 1 4 |a Mathematics. 
650 2 4 |a Ordinary Differential Equations. 
650 2 4 |a Applications of Nonlinear Dynamics and Chaos Theory. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9789811042256 
830 0 |a Developments in Mathematics,  |x 1389-2177 ;  |v 47 
856 4 0 |u http://dx.doi.org/10.1007/978-981-10-4226-3  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)