Fuzzy homoclinic orbits and commuting fuzzifications
β Scribed by Steven M. Pederson
- Book ID
- 108133587
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 228 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We derive polynomial rates of convergence for orbits of maps that converge to an equilibrium via the center manifold. Similar estimates are obtained for the variational equation along these orbits. We show how these results apply to the analysis of discrete saddle-node homoclinics.
Perturbed discrete systems like x n+1 = f x n + Β΅g x n Β΅ , x n β N , n β , when the associated unperturbed map (Β΅ = 0) is not invertible and has a critical orbit Ξ³ n homoclinic to a hyperbolic fixed point p are studied. By critical we mean that the f Ξ³ n are invertible for any integer n = 0 but f Ξ³