3 papers
math.DS2026
Finite Invariant Sets with Bridging Points in Logistic IFS
Hibiki Kato, Tamotsu Onozaki, Yoshitaka Saiki +1
We investigate iterated function systems (IFS) that randomly alternate between two non-identical one-dimensional maps as simple models of regime-switching dynamical systems. Our pr…
nlin.CD2024
A laminar chaotic saddle within a turbulent attractor
Hibiki Kato, Miki U Kobayashi, Yoshitaka Saiki +1
Intermittent switchings between weakly chaotic (laminar) and strongly chaotic (bursty) states are often observed in systems with high-dimensional chaotic attractors, such as fluid…
math.DS2024
The dynamics of the heterochaos baker maps
Yoshitaka Saiki, Hiroki Takahasi, Kenichiro Yamamoto +1
The heterochaos baker maps are piecewise affine maps of the unit square or cube introduced in [Nonlinearity 34, 2021, 5744--5761], to provide a hands-on, elementary understanding o…