Centre-manifold reduction of bifurcating flows
نویسندگان
چکیده
منابع مشابه
Centre Manifold Reduction for Quasilinear Discrete Systems
We study the dynamics of quasilinear mappings in Hilbert spaces in the neighbourhood of a fixed point. The linearized map is a closed unbounded operator and thus the initial value problem is ill-posed. Under suitable spectral assumptions, we show that all solutions staying in some neighbourhood of the fixed point lie on an invariant centre manifold. We apply this result to the study of time-per...
متن کاملEvaluation of the Centre Manifold Method for Limit Cycle Calculations of a Nonlinear Structural Wing
In this study the centre manifold is applied for reduction and limit cycle calculation of a highly nonlinear structural aeroelastic wing. The limit cycle is arisen from structural nonlinearity due to the large deflection of the wing. Results obtained by different orders of centre manifolds are compared with those obtained by time marching method (fourth-order Runge-Kutta method). These comparis...
متن کاملPartitioning of red blood cell aggregates in bifurcating microscale flows
Microvascular flows are often considered to be free of red blood cell aggregates, however, recent studies have demonstrated that aggregates are present throughout the microvasculature, affecting cell distribution and blood perfusion. This work reports on the spatial distribution of red blood cell aggregates in a T-shaped bifurcation on the scale of a large microvessel. Non-aggregating and aggre...
متن کاملExplicit centre manifold reduction and full bifurcation analysis for an astigmatic Maxwell - Bloch laser
We set up a general framework to study the bifurcations of nearly degenerate modes of a Maxwell-Bloch laser model, and we apply it specifically to the study of interactions of two modes of a laser with broken circular symmetry. We use an explicit centre manifold reduction to analyse the behaviour of this laser. Complex bifur-cation sequences involving single mode solutions, mode locking and mod...
متن کاملLyapunov-Schmidt and Centre Manifold Reduction Methods for Nonlocal PDEs Modelling Animal Aggregations
The goal of this paper is to establish the applicability of the Lyapunov-Schmidt reduction and the Centre Manifold Theorem for a class of hyperbolic partial differential equation models with nonlocal interaction terms describing the aggregation dynamics of animals/cells in a one-dimensional domain with periodic boundary conditions. We show the Fredholm property for the linear operator obtained ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2015
ISSN: 0022-1120,1469-7645
DOI: 10.1017/jfm.2015.3