Ebook: Geometry in the Neighbourhood of Invariant Manifold of Maps and Flows and Linearization
Author: Palmer K. J., Kirchgraber Urs
- Tags: Differentiable dynamical systems, Flows (Differentiable dynamical systems), Invariant manifolds, Mappings (Mathematics)
- Series: Pitman research notes in mathematics series 233
- Year: 1990
- Publisher: Longman Higher Education
- City: Harlow
- Edition: 1st
- Language: English
- djvu
The aim of this Research Note is to elucidate the behaviour of a dynamical system in the neighborhood of a fixed point or invariant torus (in the case of a diffeomorphism) or an equilibrium (in the case of an ordinary differential equation). It is shown that the space has both a horizontal and vertical foliation. Each leaf in the vertical foliation consists of the initial points of those orbits which are asymptotic to a particular orbit on the center-stable manifold. This structure leads to a linearization of the system.Readership: Researchers and graduate students in a category theory, lattice theory, partially ordered algebraic structures, ideal theory, ring theory and theoretical computer science
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