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math.DS2021
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…
math.DS2019
Asymptotic analysis of internal relaxation-oscillations in a conceptual climate model
Łukasz Płociniczak
We construct a dynamical system based on the KCG (Källén, Crafoord, Ghil) conceptual climate model which includes the ice-albedo and precipitation-temperature feedbacks. Further, w…
math.DS2018
Hopf bifurcation in a conceptual climate model with ice-albedo and precipitation-temperature feedbacks
Łukasz Płociniczak
In this paper we analyse a dynamical system based on the so-called KCG (Källén, Crafoord, Ghil) conceptual climate model. This model describes an evolution of the globally averaged…