WorldCat Identities

Mrozowski, J.

Works: 5 works in 10 publications in 2 languages and 10 library holdings
Roles: Author
Publication Timeline
Most widely held works by J Mrozowski
O królewnie Wisieńce i złej macosze by J Mrozowski( Book )

4 editions published between 1932 and 1933 in Polish and held by 4 WorldCat member libraries worldwide

O Walgierzu Wdałym : bajka by J Mrozowski( Book )

3 editions published between 1928 and 1932 in Polish and held by 3 WorldCat member libraries worldwide

Chaotic dynamics of flexible beams driven by external white noise( )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

Abstract: Mathematical models of continuous structural members (beams, plates and shells) subjected to an external additive white noise are studied. The structural members are considered as systems with infinite number of degrees of freedom. We show that in mechanical structural systems external noise can not only lead to quantitative changes in the system dynamics (that is obvious), but also cause the qualitative, and sometimes surprising changes in the vibration regimes. Furthermore, we show that scenarios of the transition from regular to chaotic regimes quantified by Fast Fourier Transform (FFT) can lead to erroneous conclusions, and a support of the wavelet analysis is needed. We have detected and illustrated the modifications of classical three scenarios of transition from regular vibrations to deterministic chaos. The carried out numerical experiment shows that the white noise lowers the threshold for transition into spatio-temporal chaotic dynamics. A transition into chaos via the proposed modified scenarios developed in this work is sensitive to small noise and significantly reduces occurrence of periodic vibrations. Increase of noise intensity yields decrease of the duration of the laminar signal range, i.e., time between two successive turbulent bursts decreases. Scenario of transition into chaos of the studied mechanical structures essentially depends on the control parameters, and it can be different in different zones of the constructed charts (control parameter planes). Furthermore, we found an interesting phenomenon, when increase of the noise intensity yields surprisingly the vibrational characteristics with a lack of noisy effect (chaos is destroyed by noise and windows of periodicity appear). Highlights: Novel scenarios of transition from regular to chaotic dynamics are detected. Combination of the classical scenarios are illustrated. White noise may either destroy or amplify deterministic chaos
W krainie czarów : zbiór baśni i powiastek J. Mrozowskiego, H. Krajewskiego, M. Sławińskiego i K. Czernego( Book )

1 edition published in 1936 in Polish and held by 1 WorldCat member library worldwide

7th Conference on Dynamical Systems Theory and Applications : proceedings( Book )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Audience Level
Audience Level
  Kids General Special  
Audience level: 0.96 (from 0.85 for 7th Confer ... to 0.99 for W krainie ...)