Titlebook: Integrability of Dynamical Systems: Algebra and Analysis; Xiang Zhang Book 2017 Springer Nature Singapore Pte Ltd. 2017 integrability.Jaco

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Xiang Zhangpurposes.Advocates for including diagnostic uncertainty in pDoctors, patients, investigators, administrators, and policymakers who assign diagnoses assume three elements: the name describes an entity with conceptual or evidentiary boundaries, the person setting the name has a high degree of certaint

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Xiang ZhangEquips the reader with an understanding of integrability.Summarizes the classical results of Darboux integrability and its modern development.Connects analysis, algebraic geometry, field extension, di

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Jacobian and Inverse Jacobian Multipliers, singularity, a periodic orbit, or a polycycle. We will also use the vanishing multiplicity of inverse Jacobian multipliers to study the multiplicity of a limit cycle, or of a homoclinic loop, and the cyclicity of a singularity.

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Algebraic, Analytic and Meromorphic Integrability,ian systems, and the meromorphic integrability of differential systems near a given orbit via the differential Galois group. Finally, we present an algorithm to compute the rational first integrals and the Darboux polynomials of polynomial differential systems.

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Darboux and Liouvillian Integrability,Darboux and Liouvillian integrability is mainly concerned with algebraic aspects of the integrability of differential systems, which is related to many subjects, such as real and complex analysis, algebraic geometry, differential algebra, differential Galois theory, and so on.

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