191 citations · 491 across the 26 of their papers we have counts for
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math.DS2017★ 5 cited
Compound Poisson law for hitting times to periodic orbits in two-dimensional hyperbolic systems
Meagan Carney, Matthew Nicol, Hong-Kun Zhang
We show that a compound Poisson distribution holds for scaled exceedances of observables uniquely maximized at a periodic point in a variety of two-dimensional hyperbolic d…
math.DS2017★ 38 cited
Generation of Multi-Scroll Attractors Without Equilibria Via Piecewise Linear Systems
R. J. Escalante-González, E. Campos-Cantón, Matthew Nicol
In this paper we present a new class of dynamical system without equilibria which possesses a multi scroll attractor. It is a piecewise-linear (PWL) system which is simple, stable,…