Mathematical Sciences: Nonlinear Dynamical Systems in Mechanics and Biology

主要研究人员进行各种研究， 力学和生物学中的问题， 非线性动力系统主题包括动态 耗散偏微分方程与模式形成 在流体系统中，对称系统的全局动力学，节点和 三维流中的轨道谱系， 具有缓变电位的振荡器， 神经生物振荡器，一维迭代 映射，非线性稳定性和分支的哈密顿和 弱阻尼系统四维Arnold扩散 辛地图和某些植物生长的动力学。 这些课题在设计和开发中具有应用价值 “智能”材料，在航空航天（特别是卫星和 航天器），湍流边界层的控制，以及 生物学

The principal investigators undertake studies of a variety of problems in mechanics and biology, using techniques of nonlinear dynamical systems. The topics include the dynamics of dissipative partial differential equations and pattern formation in fluid systems, global dynamics of symmetric systems, knots and orbit genealogy in three-dimensional flows, dynamics of oscillators with slowly varying potentials, modelling of neurobiological oscillators, iterations of one-dimensional mappings, nonlinear stability and bifurcation in Hamiltonian and weakly damped systems. Arnold diffusion in four-dimensional symplectic maps, and dynamics of the growth of certain plants. These topics have applications in the design and development of "smart" materials, in aerospace (particularly satellites and spacecraft), in the control of turbulent boundary layers,and in biology.