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Dynamical properties of conformally symplectic systems
澳门新葡8455最新网站:2015年08月02日 00:00 点击数:

报告人:de la Llave,Rafael

报告地点:澳门新葡8455最新网站615室

报告澳门新葡8455最新网站:2015年05月31日星期日09:00-10:00

邀请人:

报告摘要:

When one considers the dynamics of mechanical systems with a friction proportional to the velocity one obtains a system with the remarkable property that a symplectic form is transformed into a multiple of itself. The same phenomenon happens when one minimizes the action after discounting it by an exponential factor (these models are very common in economics when one minimizes the present cost and includes inflation). Then, the Euler Lagrange equations, lead also to conformally symplectic systems. We will present several results for this systems: 1) A KAM theory for these systems that leads to efficient algorithms. 2) Absence of Birkhoff invariants near Lagrangian tori. 3) Numerical experiments at the breakdown of tori 4) Analyticity domains of expansions for KAM tori in weakly dissipative systems (it is a singular perturbation, so series diverge and the domains do not include a ball). All these works are in collaboration with R. Calleja and A. Celletti, L. Corsi (the numerical work reported is by R. Calleja, A. Celletti, J.L - Figueras)

主讲人概况:

动力系统领域专家,多次在重要国际学术会议上作邀请报告, 包括四年一届的国际数学家大会的邀请报告。

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