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math.DS2025
Conley-Morse persistence barcode: a homological signature of combinatorial bifurcations
Tamal K. Dey, Michał Lipiński, Manuel Soriano-Trigueros
Bifurcation characterizes the qualitative changes in parameterized dynamical systems and is one of the major topics in the field. In this work, we study combinatorial bifurcations…
math.DS2025
Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition
Tamal K. Dey, Michał Lipiński, Andrew Haas
Morse decompositions partition the flows in a vector field into equivalent structures. Given such a decomposition, one can define a further summary of its flow structure by what is…