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- Wiesław M Macek, Roberto Bruno, Giuseppe Consolini
- Physical review. E, Statistical, nonlinear, and…
- 2005

We analyze time series of velocities of the solar wind plasma including the outward-directed component of Alfvénic turbulence within slow wind observed by the Helios 2 spacecraft in the inner heliosphere. We demonstrate that the influence of noise in the data can be efficiently reduced by a singular-value decomposition filter. The resulting generalized… (More)

- Stefano Redaelli, Dariusz Plewczyński, Wiesław M Macek
- Physical review. E, Statistical, nonlinear, and…
- 2002

We focus on classical chaotic systems corrupted by white and colored noise. We study the dependence of the correlation dimension and the Kolmogorov entropy on the noise level and its spectral exponent. As is well known, white noise strongly reduces the width of the scaling region for the correlation dimension and entropy. On the contrary, we demonstrate… (More)

- Marek Strumik, Wiesław M Macek, Stefano Redaelli
- Physical review. E, Statistical, nonlinear, and…
- 2005

We consider the dynamics of the Hénon and Ikeda maps in the presence of additive and dynamical noise. We show that, from the point of view of computations of some statistical quantities, dynamical noise corrupting these deterministic systems can be considered effectively as an additive "pseudonoise" with the Cauchy distribution. In the case of the Hénon and… (More)

- Marek Strumik, Wiesław M Macek
- Physical review. E, Statistical, nonlinear, and…
- 2008

We present results of statistical analysis of solar wind turbulence using an approach based on the theory of Markov processes. It is shown that the Chapman-Kolmogorov equation is approximately satisfied for the turbulent cascade. We evaluate the first two Kramers-Moyal coefficients from experimental data and show that the solution of the resulting… (More)

- Wiesław M Macek, Marek Strumik
- Physical review letters
- 2014

We consider a low-dimensional model of convection in a horizontally magnetized layer of a viscous fluid heated from below. We analyze in detail the stability of hydrodynamic convection for a wide range of two control parameters. Namely, when changing the initially applied temperature difference or magnetic field strength, one can see transitions from… (More)

- Wiesław M. Macek, Stefan Wyszyński
- 2012

Objective The aim of the course is to give students an introduction to the new developments in nonlinear dynamics and (multi-)fractals. Emphasis will be on the basic concepts of fractals, multifractals, chaos, and strange attractors based on intuition rather than mathematical proofs. The specific exercises will also include applications to intermittent… (More)

- Wiesław M. Macek
- 2011

Objective The aim of the course is to give students an introduction to the new developments in nonlinear dynamics and fractals. Emphasis will be on the basic concepts of stability, bifurcations and intermittency, based on intuition rather than mathematical proofs. On successful completion of this course, students should understand and apply the theory to… (More)

- Wiesław M Macek, Marek Strumik
- Physical review. E, Statistical, nonlinear, and…
- 2010

We consider convection in a horizontally magnetized viscous fluid layer in the gravitational field heated from below with a vertical temperature gradient. Following Rayleigh-Bénard scenario and using a general magnetohydrodynamic approach, we obtain a simple set of four ordinary differential equations. In addition to the usual three-dimensional Lorenz model… (More)

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