2 papers
math.DS2025
From two-dimensional continuous maps to one-dimensional discontinuous maps: a novel reduction explaining complex bifurcation structures in piecewise-linear families of maps
D. J. W. Simpson, V. Avrutin
Piecewise-linear maps describe dynamical phenomena that switch between distinct states and readily generate complex bifurcation structures due to their strong nonlinearity. We show…
math.DS2025
Doubling bifurcations of invariant closed curves in 3D maps
Sayanho Biswas, Soumitro Banerjee, Viktor Avrutin +1
Numerous studies have reported two types of doubling of invariant closed curves (ICCs) in dynamical systems: (a) the creation of two disjoint ICCs such that iterations flip between…