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Periodic attractors as a result of diffusion

Published online by Cambridge University Press:  19 September 2008

Jan Barkmeijer
Jan Barkmeijer
Affiliation:
Mathematisch Instituut, Postbus 800, 9700 AV Groningen, The Netherlands
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Abstract

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We present a dynamical system in ℝ2 with a global point attractor but so that two such systems, when coupled by linear diffusion, produce a system in ℝ4 with no point attractors and yet with all solutions bounded in the positive time direction.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 3 , September 1987 , pp. 319 - 335
Copyright
Copyright © Cambridge University Press 1987

References

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