Publications

Papers:

Unbounded dynamics for three dimensional vector fields - conditionally accepted for publication at Acta Mathematica Scientia.

Kneading the Lorenz Attractor. Nonlinearity, 39, no. 05, 055016, 2026. Joint with Łukasz Cholewa.

Knots and chaos in the Rössler system. Journal of Differential Equations, 437, no. 25, 2025.

Preprints:

When Entropy flows: drifting along the route to chaos - joint with Valerii Sopin and Yanghong Yu, arxiv.

Using Erdős's methods to study Yorke's problems  - joint with Valerii Sopin, arxiv, submitted.

Essential dynamics in chaotic attractors - arxiv, submitted.

Period doubling cascades invariants - joint with Valerii Sopin, arxiv.

One Dimensional Dynamics and the Rössler attractor - arxiv.

Topological lower bounds for the Rössler system - arxiv.