Imperial College London
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ProfessorMartinRasmussen

Faculty of Natural Sciences, Department of Mathematics

Professor of Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 2774m.rasmussen Website

 
 
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Location

 

637Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Lamb:2015:10.1090/S0002-9939-2015-12544-0,
author = {Lamb, JSW and Rasmussen, M and Rodrigues, CS},
doi = {10.1090/S0002-9939-2015-12544-0},
journal = {Proceedings of the American Mathematical Society},
pages = {3927--3937},
title = {Topological bifurcations of minimal invariant sets for set-valued dynamical systems},
url = {http://dx.doi.org/10.1090/S0002-9939-2015-12544-0},
volume = {143},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We discuss the dependence of set-valued dynamical systems on parameters. Under mild assumptions which are naturally satisfied for random dynamical systems with bounded noise and control systems, we establish the fact that topological bifurcations of minimal invariant sets are discontinuous with respect to the Hausdorff metric, taking the form of lower semi-continuous explosions and instantaneous appearances. We also characterise these transitions by properties of Morse-like decompositions.
AU  - Lamb,JSW
AU  - Rasmussen,M
AU  - Rodrigues,CS
DO  - 10.1090/S0002-9939-2015-12544-0
EP  - 3937
PY  - 2015///
SN  - 1088-6826
SP  - 3927
TI  - Topological bifurcations of minimal invariant sets for set-valued dynamical systems
T2  - Proceedings of the American Mathematical Society
UR  - http://dx.doi.org/10.1090/S0002-9939-2015-12544-0
UR  - http://hdl.handle.net/10044/1/34158
VL  - 143
ER  -
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