Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Reconstructing the global dynamics of attractors via the Conley index

100%

McCord C.

Banach Center Publications

1999

tom 47

nr 1

145-156

Given an unknown attractor 𝓐 in a continuous dynamical system, how can we discover the topology and dynamics of 𝓐? As a practical matter, how can we do so from only a finite amount of information? One way of doing so is to produce a semi-conjugacy from 𝓐 onto a model system 𝓜 whose topology and dynamics are known. The complexity of 𝓜 then provides a lower bound for the complexity of 𝓐. The Conley index can be used to construct a simplicial model and a surjective semi-conjugacy for a large class of attractors. The essential features of this construction are that the model 𝓜 can be explicitly described; and that the finite amount of information needed to construct it is computable.

Connection matrices and transition matrices

63%

McCord C., Reineck J. F.

Banach Center Publications

1999

tom 47

nr 1

41-55

This paper is an introduction to connection and transition matrices in the Conley index theory for flows. Basic definitions and simple examples are discussed.

Ograniczanie wyników

2 Banach Center Publications

2 McCord C.

1 Reineck J. F.

2 1999

Wyniki wyszukiwania

Reconstructing the global dynamics of attractors via the Conley index

Connection matrices and transition matrices