227 citations · 649 across the 14 of their papers we have counts for
14 papers
Transition to anomalous dynamics in a simple random map
Jin Yan, Moitrish Majumdar, Stefano Ruffo +3
The famous Bernoulli shift (or dyadic transformation) is perhaps the simplest deterministic dynamical system exhibiting chaotic dynamics. It is a piecewise linear time-discrete map…
Heterogeneity of the Attractor of the Lorenz '96 Model: Lyapunov Analysis, Unstable Periodic Orbits, and Shadowing Properties
Chiara Cecilia Maiocchi, Valerio Lucarini, Andrey Gritsun +1
The predictability of weather and climate is strongly state-dependent: special and extremely relevant atmospheric states like blockings are associated with anomalous instability. I…
Existence of multiple noise-induced transitions in a Lasota-Mackey map
Takumi Chihara, Yuzuru Sato, Isaia Nisoli +1
We prove the existence of multiple noise-induced transitions in the Lasota-Mackey map, which is a class of one dimensional random dynamical system with additive noise. The result i…
Noise-induced degeneration in online learning
Yuzuru Sato, Daiji Tsutsui, Akio Fujiwara
In order to elucidate the plateau phenomena caused by vanishing gradient, we herein analyse stability of stochastic gradient descent near degenerated subspaces in a multi-layer per…
Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps
Yuzuru Sato, Kathrin Padberg-Gehle
Noise-induced statistical periodicity in a class of one-dimensional maps is studied. We show the existence of statistical periodicity in a modified Lasota-Mackey map and describe t…
Dynamical characterization of stochastic bifurcations in a random logistic map
Yuzuru Sato, Thai Son Doan, Jeroen S. W. Lamb +1
The emergence of noise-induced chaos in a random logistic map with bounded noise is understood as a two-step process consisting of a topological bifurcation flagged by a zero-cross…