237 citations · 662 across the 35 of their papers we have counts for
38 papers
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…
Robustness of solutions of almost every system of equations
Sana Jahedi, Timothy Sauer, James A. Yorke
In mathematical modeling, it is common to have an equation where the exact form of is not known. This article shows that there are large classes of where almost al…
Extinction of multiple populations and a team of Die-out Lyapunov functions
Naghmeh Akhavan, James A. Yorke
The extinction of species is a major problem of concern with a large literature. Our investigation gives insight into when species extinctions must occur, with an emphasis on deter…
The twisted baker map
Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
As a model to provide a hands-on, elementary understanding of "vortex dynamics", we introduce a piecewise linear non-invertible map called a twisted baker map. We show that the set…
Infinite towers in the graph of a dynamical system
Roberto De Leo, James A. Yorke
Chaotic attractors, chaotic saddles and periodic orbits are examples of chain-recurrent sets. Using arbitrary small controls, a trajectory starting from any point in a chain-recurr…
Hausdorff dimension of Cantor intersections and robust heterodimensional cycles for heterochaos horseshoe maps
Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
As a model to provide a hands-on, elementary understanding of chaotic dynamics in dimension three, we introduce a -open set of diffeomorphisms of having two hors…