Normal Forms for Nonautonomous Differential Equations

By Stefan Siegmund. 2002

55 citations recorded by the source corpus.

Subfields: Geometry and Topology, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/76b734a1db6696012e29cbb5589a9e01baf3102f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Stephen Wiggins
2. Ana M. Mancho
3. Des Small
4. G. Haller

In Numerical Analysis

1. Stephen Wiggins
2. Ana M. Mancho
3. Des Small
4. Stefan Siegmund

In Statistical and Nonlinear Physics

1. Ana M. Mancho
2. Stephen Wiggins
3. Des Small
4. Stefan Siegmund
5. G. Haller

Citations in the corpus

• Dichotomy Spectrum for Nonautonomous Differential Equations (2002, methodology): “Applications of our Spectral Theorem can be found in the papers [18] and [ 19 ] on block diagonalization and normal forms for nonautonomous differential equations.”
• Smooth linearization of nonautonomous differential equations with a nonuniform dichotomy (2017, unknown): “After 2000, for hyperbolic nonautonomous differential equations, a result on linearization of Poincaré type with generalized nonresonant conditions was given in [28] and a result on Hölder linearization without any nonresonant conditions was given in [3].”
• Computation of Stable and Unstable Manifolds of hyperbolic Trajectories in Two-dimensional, Aperiodically Time-Dependent Vector Fields (2003, background): “Aspects that have been studied include bifurcation theory [19], normal form theory[30], shadowing lemmas [2,23] and chaos[20,22,28,32–34] .”