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nlin.PS2020
St. Petersburg paradox for quasiperiodically hypermeandering spiral waves
Vadim N. Biktashev, Ian Melbourne
It is known that quasiperiodic hypermeander of spiral waves almost certainly produces a bounded trajectory for the spiral tip. We analyse the size of this trajectory. We show that…
nlin.PS2006
Dynamics on unbounded domains; co-solutions and inheritance of stability
Peter Ashwin, Ian Melbourne
We consider the dynamics of semiflows of patterns on unbounded domains that are equivariant under a noncompact group action. We exploit the unbounded nature of the domain in a sett…