64 citations · 390 across the 24 of their papers we have counts for
Showing 2009Show all
2 papers · 1 filter
nlin.CD2009★ 23 cited
A mechanism for switching near a heteroclinic network
Vivien Kirk, Emily Lane, Claire M. Postlethwaite +2
We describe an example of a structurally stable heteroclinic network for which nearby orbits exhibit irregular but sustained switching between the various sub-cycles in the network…
nlin.PS2009★ 17 cited
Resonance bifurcations from robust homoclinic cycles
Claire M Postlethwaite, Jonathan H P Dawes
We present two calculations for a class of robust homoclinic cycles with symmetry Z_n x Z_2^n, for which the sufficient conditions for asymptotic stability given by Krupa and Melbo…