應(yīng)yl7703永利官網(wǎng)楊璐教授邀請，俄羅斯下諾夫哥羅德國立大學(xué) Aleksandr Gonchenko 研究員將于2023年9月12日至9月22日訪問我校并作系列學(xué)術(shù)報告。

報告題目一：Strange Attractors of Multidimensional Systems

時間：2023年9月19日（星期二）14: 30-15: 30

地 點(diǎn)：理工樓631報告廳

報告題目二：A Review on the Discrete Homoclinic Attractors of 3D Diffeomorphisms

時間：2023年9月19日（星期二）15: 30-16: 30

地 點(diǎn)：理工樓631報告廳

報告摘要：In the theory of dynamical chaos, one of the most important and relevant is its direction that is associated with the study of strange attractors of multidimensional systems (with dimension of phase space ≥ 4 for flows and ≥ 3 for diffeomorphisms). Compared to the lower dimension, there are not too many meaningful results here, but almost all of them are of great importance for the theory of dynamical chaos. In our opinion, one of the most interesting results recently obtained in this direction are connected with the discovery of the so-called discrete homoclinic attractors.

By this term we primarily denote strange attractors of multi-dimensional maps (diffeomorphisms) that contain only one fixed point of saddle type and, hence, they also contain entirely its unstable manifold. In the present talk we give a review on discrete homoclinic attractors of three-dimensional diffeomorphisms both orientable and nonorientable. We discuss the most important peculiarities of these attractors such as their geometric and ho moclinic structures, phenomenological scenarios of their appearance, pseudohyperbolic properties etc. We consider homoclinic attractors of various type such as discrete Lorenz attractors, discrete figure-eight attractors, discrete Shilnikov attractors etc. As illustrative examples, we will consider 3D generalized H′enon maps, 3D maps with the axial symmetry and with the constant Jacobian as well as the model from application –a nonholonomic model of Celtic stone.

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報告人簡介

Aleksandr Gonchenko，下諾夫哥羅德國立大學(xué)研究員，分別于2010年及2013年在俄羅斯下諾夫哥羅德國立大學(xué)獲得碩士和博士學(xué)位。主要從事動力系統(tǒng)、分岔理論、吸引子和混沌等領(lǐng)域的研究工作。2014-2018年主持兩項(xiàng)俄羅斯科學(xué)基金項(xiàng)目，目前仍在負(fù)責(zé)主持一項(xiàng)俄羅斯科學(xué)基金項(xiàng)目。

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yl7703永利官網(wǎng)

萃英學(xué)院

2023年9月11日