141 citations · 196 across the 5 of their papers we have counts for
6 papers
Stability of fixed points in an approximate solution of the spring-mass running model
Zofia Wróblewska, Piotr Kowalczyk, Łukasz Płociniczak
We consider a classical spring-mass model of human running which is built upon an inverted elastic pendulum. Based on our previous results concerning asymptotic solutions for large…
Spike-adding and reset-induced canard cycles in adaptive integrate and fire models
Mathieu Desroches, Piotr Kowalczyk, Serafim Rodrigues
We study a class of planar integrate and fire (IF) models called adaptive integrate and fire (AIF) models, which possesses an adaptation variable on top of membrane potential, and…
Global Complex Roots and Poles Finding Algorithm Based on Phase Analysis for Propagation and Radiation Problems
Piotr Kowalczyk
A flexible and effective algorithm for complex roots and poles finding is presented. A wide class of analytic functions can be analyzed, and any arbitrarily shaped search region ca…
On hp-Streamline Diffusion and Nitsche schemes for the Relativistic Vlasov-Maxwell System
Mohammad Asadzadeh, Piotr Kowalczyk, Christoffer Standar
We study stability and convergence of -streamline diffusion (SD) finite element, and Nitsche's schemes for the three dimensional, relativistic (3 spatial dimension and 3 veloci…
Mimetization of the elastic properties of cancellous bone via a parameterized cellular material
Lucas Colabella, Adrián Cisilino, Guillaume Haiat +1
Bone tissue mechanical properties and trabecular microarchitecture are the main factors that determine the biomechanical properties of cancellous bone. Artificial cancellous micros…
Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling
Paul Glendinning, Piotr Kowalczyk
We demonstrate on a representative example of a planar hybrid system with digital sampling a sudden transition from a stable limit cycle to the onset of chaotic dynamics. We show t…