output
19992025
most citedThe viscosity parameter alpha and the properties of accretion disc outbursts in close binaries

72 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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5 papers · 1 filter

math.DS2021

A computer-assisted proof of the existence of Smale horseshoe for the folded-towel map

Anna Gierzkiewicz

The paper contains a rigorous proof of existence of symbolic dynamics chaos in the generalized Hénon map's 4th iterate , which was conjectured in the paper \textit{A 3D Smale…

math.DS2021★ 8 cited

Periodic orbits in Rössler system

Anna Gierzkiewicz, Piotr Zgliczyński

We prove the existence of -periodic orbits for almost all in the Rössler system with attracting periodic orbit, for two sets of parameters. The proofs are compu…

math.DS2019★ 7 cited

A computer-assisted proof of symbolic dynamics in Hyperion's inner rotation model

Anna Gierzkiewicz, Piotr Zgliczyński

The rotation of Hyperion is often modelled by equations of motion of an ellipsoidal satellite. The model is expected to be chaotic for large range of parameters. The paper contains…

math.DS2017★ 4 cited

Steen-Ermakov-Pinney equation and integrable nonlinear deformation of one-dimensional Dirac equation

Yarema Prykarpatskyy

The paper deals with nonlinear one-dimensional Dirac equation. We describe its invariants set by means of the deformed linear Dirac equation, using the fact that two ordinary diffe…

math.DS2012

Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole type transformations

Denis Blackmore, Jolanta Golenia, Yarema A. Prykarpatsky +1

Invariant ergodic measures for generalized Boole type transformations are studied using an invariant quasi-measure generating function approach based on special solutions to the Fr…