227 citations · 649 across the 14 of their papers we have counts for
5 papers · 1 filter
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 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…