Abstract
This chapter studies the polynomial and analytic integrability of some concrete physical models, the polynomial and rational integrability of Hamiltonian 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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© 2017 Springer Nature Singapore Pte Ltd.
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Zhang, X. (2017). Algebraic, Analytic and Meromorphic Integrability. In: Integrability of Dynamical Systems: Algebra and Analysis. Developments in Mathematics, vol 47. Springer, Singapore. https://doi.org/10.1007/978-981-10-4226-3_5
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DOI: https://doi.org/10.1007/978-981-10-4226-3_5
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-4225-6
Online ISBN: 978-981-10-4226-3
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