5 papers
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…
Abundance of weird quasiperiodic attractors in piecewise linear discontinuous maps
Laura Gardini, Davide Radi, Noemi Schmitt +2
In this work, we consider a class of -dimensional, , piecewise linear discontinuous maps that can exhibit a new type of attractor, called a weird quasiperiodic attractor…
Dynamics of 1D discontinuous maps with multiple partitions and linear functions having the same fixed point. An application to financial market modeling
Laura Gardini, Davide Radi, Noemi Schmitt +2
Piecewise smooth systems are intensively studied today in many application areas, such as economics, finance, engineering, biology, and ecology. In this work, we consider a class o…
On the emergence and properties of weird quasiperiodic attractors
Laura Gardini, Davide Radi, Noemi Schmitt +2
We recently described a specific type of attractors of two-dimensional discontinuous piecewise linear maps, characterized by two discontinuity lines dividing the phase plane into t…
A route to chaos in the Boros-Moll map
Laura Gardini, Víctor Mañosa, Iryna Sushko
The Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to the convergence of them. In the paper,…