Linear Chaos
It is commonly believed that chaos is linked to non-linearity, however many (even quite natural) linear dynamical systems exhibit chaotic behavior. The study of these systems is a young and remarkably active field of research, which has seen many landmark results over the past two decades. Linear dy...
| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London :
Springer London,
2011.
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| Series: | Universitext,
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| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Topological dynamics
- Hypercyclic and chaotic operators
- The Hypercyclicity Criterion
- Classes of hypercyclic and chaotic operators
- Necessary conditions for hypercyclicity and chaos
- Connectedness arguments in linear dynamics
- Dynamics of semigroups, with applications to differential equations
- Existence of hypercyclic operators
- Frequently hypercyclic operators
- Hypercyclic subspaces
- Common hypercyclic vectors
- Linear dynamics in topological vector spaces.
