- unstable manifold
- мат. неустойчивое многообразие
Большой англо-русский и русско-английский словарь. 2001.
unstable manifold
Смотреть что такое "unstable manifold" в других словарях:
Stable manifold theorem — In mathematics, especially in the study of dynamical systems and differential equations, the stable manifold theorem is an important result about the structure of the set of orbits approaching a given hyperbolic fixed point. Stable manifold… … Wikipedia
Stable manifold — In mathematics, and in particular the study of dynamical systems, the idea of stable and unstable sets or stable and unstable manifolds give a formal mathematical definition to the general notions embodied in the idea of an attractor or repellor … Wikipedia
Normally hyperbolic invariant manifold — A normally hyperbolic invariant manifold (NHIM) is a natural generalization of a hyperbolic fixed point and a hyperbolic set. The difference can be described heuristically as follows: For a manifold Λ to be normally hyperbolic we are allowed to… … Wikipedia
Center manifold — Let :dot{ extbf{x = f( extbf{x})be a dynamical system with equilibrium point:: extbf{x}^{*} = 0The linearization of the system at the equilibrium point is::dot{ extbf{x = A extbf{x}The linearized system has the following sets of eigenspaces,… … Wikipedia
Morse theory — Morse function redirects here. In another context, a Morse function can also mean an anharmonic oscillator: see Morse potential In differential topology, the techniques of Morse theory give a very direct way of analyzing the topology of a… … Wikipedia
Morse homology — In mathematics, specifically in the field of differential topology, Morse homology is a homology theory defined for any smooth manifold. It is constructed using the smooth structure and an auxiliary metric on the manifold, but turns out to be… … Wikipedia
Homoclinic orbit — In mathematics, a homoclinic orbit is a trajectory of a flow of a dynamical system which joins a saddle equilibrium point to itself. More precisely, a homoclinic orbit lies in the intersection of the stable manifold and the unstable manifold of… … Wikipedia
Hénon map — The Hénon map is a discrete time dynamical system. It is one of the most studied examples of dynamical systems that exhibit chaotic behavior. The Hénon map takes a point ( x , y ) in the plane and maps it to a new point :x {n+1} = y n+1 a x… … Wikipedia
Periodic point — In mathematics, in the study of iterated functions and dynamical systems, a periodic point of a function is a point which returns to itself after a certain number of function iterations or a certain amount of time. Iterated functions Given an… … Wikipedia
Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… … Wikipedia
Attractor — For other uses, see Attractor (disambiguation). Visual representation of a strange attractor An attractor is a set towards which a dynamical system evolves over time. That is, points that get close enough to the attractor remain close even if… … Wikipedia
