Advertisement

Nonlinear Systems

Part of the Lecture Notes in Mathematics book series (LNM, volume 1907)

In the study of nonlinear systems, invariant manifolds play a central role, since they help to understand the often complicated dynamical behavior near an equilibrium, a periodic solution or—in the nonautonomous context—an arbitrary solution. The construction of stable and unstable invariant manifolds goes back to Poincaré [136] and Hadamard [73]. In the sequel, the theory was extended from hyperbolic to nonhyperbolic systems, from finite to infinite dimension and from time-independent to time-dependent equations.

Keywords

Nonlinear System Trivial Solution Invariant Manifold Negative Real Part Invariant Projector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Personalised recommendations