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010   $a981-10-4226-8
024 7 $a10.1007/978-981-10-4226-3
035   $a(CKB)3710000001127306
035   $a(DE-He213)978-981-10-4226-3
035   $a(MiAaPQ)EBC4833997
035   $a(PPN)199764727
035   $a(EXLCZ)993710000001127306
100   $a20170330d2017      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aIntegrability of dynamical systems: algebra and analysis /$fby Xiang Zhang
205   $a1st ed. 2017.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2017.
215   $a1 online resource (XV, 380 p. 6 illus., 1 illus. in color.)
225 1 $aDevelopments in Mathematics,$x1389-2177 ;$v47
311 08$a981-10-4225-X 
327   $aThe fundamentals of the theory of integrability of differential systems -- The fundamentals of the theory of integrability of differential systems -- The fundamentals of the theory of integrability of differential systems -- Existence and degree of Darboux polynomials -- Algebraic, analytic and meromorphic integrability -- Applications of the Darboux theory of integrability -- Local integrability of differential systems -- Index.
330   $aThis is the first book to systematically state the fundamental theory of integrability and its development of ordinary differential equations with emphasis on the Darboux theory of integrability and local integrability together with their applications. It summarizes the classical results of Darboux integrability and its modern development together with their related Darboux polynomials and their applications in the reduction of Liouville and elementary integrabilty and in the center?focus problem, the weakened Hilbert 16th problem on algebraic limit cycles and the global dynamical analysis of some realistic models in fields such as physics, mechanics and biology.    Although it can be used as a textbook for graduate students in dynamical systems, it is intended as supplementary reading for graduate students from mathematics, physics, mechanics and engineering in courses related to the qualitative theory, bifurcation theory and the theory of integrability of dynamical systems.
410  0$aDevelopments in Mathematics,$x1389-2177 ;$v47
606   $aDifferential equations
606   $aStatistical physics
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020
615  0$aDifferential equations.
615  0$aStatistical physics.
615 14$aOrdinary Differential Equations.
615 24$aApplications of Nonlinear Dynamics and Chaos Theory.
676   $a515.352
700   $aZhang$b Xiang$4aut$4http://id.loc.gov/vocabulary/relators/aut$0651555
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254281203321
996   $aIntegrability of dynamical systems$91560434
997   $aUNINA