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On the complete integrability of the n-dimensional differential systems

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系列学术活动之(115)

题    目:

On the complete integrability of the n-dimensional differential systems

摘    要:

It is well known that if J(x, y) is an integrating factor of a planar differential system, then this system has a first integral H(x, y) such that= J(x, y)P(x, y) = (?H/?y)(x, y), = J(x, y)Q(x, y = (?H/?x)(x, y)). First we shall extend this result to completely integrable differential systems in . Second we provide two improvements to the classical Jacobi Theorem on the complete integrability of the N–dimensional differential systems having N-2 independent first integrals and a Jacobi multiplier. Finally we apply the previous results obtained for the completely integrable N–dimensional difffferential to some classes of Lotka– Volterra difffferential systems in .


报 告 人:

Jaume Llibre 院士 (西班牙巴塞罗那自治大学)

时    间:

2019101509:00

地    点:

明义-204


报告人概况:

Jaume Llibre,西班牙巴塞罗那自治大学教授,西班牙皇家科学院院士,动力系统和天体力学领域国际知名学者,领导一个十分活跃的研究团队。他本人应邀到许多国家访问、讲学与合作研究,目前与至少15个国家的150多人合作,已发表900多篇学术论文,出版15本专著。是国际上多个杂志的主编或编委。他本人以及他领导的团队成员与我国多所大学的同行有长期的交流、互访与合作。





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