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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Expanding cone and homogeneous dynamics
膨胀锥体 均匀动力学 非紧致简单李群
2023/4/17
We introduce the notion of expanding cone of a noncompact simple Lie group. This allows us to extend several results in homogeneous dynamics to more general settings. We show how this notion is used i...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dynamics of a Nutrient-Phytoplankton Model with Random Phytoplankton Mortality
随机浮游植物死亡率 营养-浮游植物 模型动力学
2023/4/28
In this talk, we investigate a stochastic nutrient-phytoplankton model which incorporates the effect of white noise on phytoplankton growth. The global existence and uniqueness of a positive solution,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Evolutionary Markov Dynamics for Network Community Detection
网络社区检测 进化 马尔可夫 动力学
2023/5/10
Community structure division is a crucial problem in the field of network data analysis. Algorithms based on Markov chains are easy to use and provide promising solutions for community detection. In a...
Last year, MIT researchers announced that they had built “liquid” neural networks, inspired by the brains of small species: a class of flexible, robust machine learning models that learn on the job an...
中国地质大学科学技术发展院吴奕德，葛明峰*等，机电学院，Nonlinear Dynamics（2020），Task-space bipartite tracking of networked robotic systems via hierarchical finite-time control
非线性；动力学领域
2021/10/15
近日，机电学院葛明峰副教授团队硕士研究生吴奕德以第一作者在非线性动力学领域《Nonlinear Dynamics》期刊上刊发研究成果。该文设计了几种新的有限时间控制算法，成功解决了多机器人系统在多种情况下的竞争一致跟踪问题。
Workshop on Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
Workshop Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
2017/12/20
In recent years there has been a growing interest towards the integrability of systems which, though not Hamiltonian, retain some link to—or common origin with—Hamiltonian systems. One such field is t...
2018哈密顿动力学与辛拓扑最新进展研讨会（Recent Advances in Hamiltonian Dynamics and Symplectic Topology Workshop）
2018 哈密顿动力学与辛拓扑最新进展 研讨会
2017/12/20
The study of Hamiltonian dynamical systems plays a fundamental role in many different contexts, both in pure and applied mathematics. Indeed, most of the physical laws ruling our everyday lives --the ...
Dynamics of Biomembranes: Effect of the Bulk Fluid
biomembrane vesicle red blood cell helfrich
2015/12/11
We derive a biomembrane model consisting of a fluid enclosed by a lipid membrane.
The membrane is characterized by its Canham-Helfrich energy (Willmore energy with area constraint) and acts as ...
DISCRETE AND CONTINUUM RELAXATION DYNAMICS OF FACETED CRYSTAL SURFACE IN EVAPORATION MODELS
crystal surface evaporation facet Burton–Cabrera–Frank model subgradient formalism free-boundary problem shock
2015/10/16
We study linkages of two scales in the relaxation of an axisymmetric crystal with a facet in evaporation-condensation kinetics. The macroscale evolution is driven by the motion of concentric circular,...
Island-dynamics model for mound formation:Effect of a step-edge barrier
Island-dynamics model mound formation step-edge barrier
2015/10/16
We formulate and implement a generalized island-dynamics model of epitaxial growth based on the level-set technique to include the effect of an additional energy barrier for the attachment and detachm...
Existence of solutions for a higher order non-local equation appearing in crack dynamics
Hydraulic fractures Higher order equation Non-local equation Thin film equation Non-negative solutions periodic Hilbert transform
2015/10/15
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures. The equation is similar to th...
This course was given at ENSET Oran, November 4-9, 2006. It is
an introduction to isometric actions of Lie groups on Lorentz manifolds.
Several examples are presented, followed by general defi...
Mostly contracting di eomorphisms are the simplest
examples of robustly nonuniformly hyperbolic systems. This paper studies the mixing properties of mostly contracting di eomorphisms.
HIDDEN MARKOV PROCESSES IN THE CONTEXT OF SYMBOLIC DYNAMICS
HIDDEN MARKOV PROCESSES SYMBOLIC DYNAMICS
2015/9/29
In an effort to aid communication among different fields and perhaps facilitate progress on problems common toall of them, this article discusses hidden Markov processes from several viewpoints, espec...
Dynamics of the dominant Hamiltonian,with applications to Arnold diffusion
dominant Hamiltonian Arnold diffusion
2015/9/25
It is well know that instabilities of nearly integrable Hamiltonian systems occur around resonances. Dynamics near resonances of these systems is wellapproximated by the associated averaged system, ca...