Titlebook: Global Stability of Dynamical Systems; Michael Shub Book 1987 Springer-Verlag Berlin Heidelberg 1987 dynamical systems.manifold.stability

規(guī)范要多

The Moral Crisis in Special Education,We have begun to study hyperbolic invariant sets. Before we continue we must generalize our definitions in the case of a fixed point, to allow us to work in an arbitrary Banach space.

Pepsin

https://doi.org/10.1007/978-3-031-29735-9Next, we will generalize to more complicated hyperbolic sets, such as the horseshoe or a solenoid, the theory we have developed for a periodic point.

resilience

https://doi.org/10.1007/978-1-137-45665-6Consider two submanifolds . and . of . which intersect at a point .. We say that . and . are transverse at ., ..., or that . is a . of . and ., if ..

atopic-rhinitis

https://doi.org/10.1007/978-981-97-0009-7Let . and . be two topological spaces and .: . → . and .: . → . two continuous maps.

Foreshadow

肉身

,Sexual Betrayal in “Penelope”,Our last major result will be counting the periodic points in a hyperbolic set with local product structure; we will carry this out using the important technique of symbolic dynamics.

ROOF

絆住

Sequences of Filtrations,Let .: ?=.. ? ··· ? .., = M and .: ?=.. ? ··· ? .. = . be two filtrations of .. We say that . refines . if and only if for all . = 0,..., . ? 1, there is a ., 0 ≤ . ≤ . ? 1 such that (... ? ..) ? (... ? ..).

蜈蚣

Abjure

Stable Manifolds,We have begun to study hyperbolic invariant sets. Before we continue we must generalize our definitions in the case of a fixed point, to allow us to work in an arbitrary Banach space.