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math.DS2025
Visibility of heteroclinic networks
Sofia B. S. D. Castro, Claire M. Postlethwaite, Alastair M. Rucklidge
The concept of stability has a long history in the field of dynamical systems: stable invariant objects are the ones that would be expected to be observed in experiments and numeri…
math.DS2025
Complete heteroclinic networks derived from graphs consisting of two cycles
Sofia B. S. D. Castro, Alexander Lohse
We address the question how a given connection structure (directed graph) can be realised as a heteroclinic network that is complete in the sense that it contains all unstable mani…