Semantic Scholar Open Access 1967 3277 sitasi

Differentiable dynamical systems

S. Smale

Lihat Sumber DOI

Abstrak

This is a survey article on the area of global analysis defined by differentiable dynamical systems or equivalently the action (differentiable) of a Lie group G on a manifold M. An action is a homomorphism G→Diff(M) such that the induced map G×M→M is differentiable. Here Diff(M) is the group of all diffeomorphisms of M and a diffeo- morphism is a differentiable map with a differentiable inverse. Everything will be discussed here from the C ∞ or C r point of view. All manifolds maps, etc. will be differentiable (C r , 1 ≦ r ≦ ∞) unless stated otherwise.

Topik & Kata Kunci

Mathematics

Penulis (1)

S. Smale

Format Sitasi

APA MLA BibTeX

Smale, S. (1967). Differentiable dynamical systems. https://doi.org/10.1007/978-1-4613-8101-3_1

Akses Cepat

Lihat di Sumber doi.org/10.1007/978-1-4613-8101-3_1

Informasi Jurnal

Tahun Terbit: 1967
Bahasa: en
Total Sitasi: 3277×
Sumber Database: Semantic Scholar
DOI: 10.1007/978-1-4613-8101-3_1
Akses: Open Access ✓