Abstract
The Darboux theory of integrability has been successively applied to study the dynamics of polynomial differential systems. This chapter will focus on the center-focus and the limit cycle problems of planar polynomial differential systems. In the last section we will also present applications of this theory to specific models in two and higher dimensions.
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Zhang, X. (2017). Applications of the Darboux Theory of 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_6
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DOI: https://doi.org/10.1007/978-981-10-4226-3_6
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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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