3 citations · 3 across the 10 of their papers we have counts for
4 papers · 2 filters
Kneading the Lorenz attractor
Łukasz Cholewa, Eran Igra
A Lorenz map is a piecewise continuous map, modeled after an idealized version of the Lorenz attractor. In this paper we settle the following question - how much…
Using Erdős's methods to study Yorke's problems
Eran Igra, Valerii Sopin
In this paper, we study the possible bifurcations of periodic orbits by analyzing them as graphs. In detail, we construct a collection of graphs which are an idealized versions of…
Period-Doubling Cascades Invariants: Braided Routes To Chaos
Eran Igra, Valerii Sopin
By a classical result of Kathleen Alligood and James Yorke we know that as we isotopically deform a map to a Smale horseshoe map we should often expect the…
Unbounded dynamics for three dimensional vector fields
Eran Igra
Consider a three-dimensional vector field which generates a finite number of fixed points - what can we say on its unbounded dynamics? In this paper we tackle this question, an…