Universality of oscillation theory laws. types and role of mathematical models
The universality of oscillation theory laws is discussed. It is suggested that all models of concrete systems be separated into four categories: models – “portraits” of investigated systems, models of the type of “black box”, aggregating models, and models of certain phenomena which can occur in re...
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022697000113 |
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| _version_ | 1832554501732564992 |
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| author | Polina S. Landa |
| author_facet | Polina S. Landa |
| author_sort | Polina S. Landa |
| collection | DOAJ |
| description | The universality of oscillation theory laws is discussed. It is suggested that all models of concrete systems be separated into four categories: models – “portraits” of investigated systems, models of the type of “black box”, aggregating models, and models of certain phenomena which can occur in real systems. As an example of the model of the fourth type, the equation of oscillations of a pendulum with a randomly vibrating suspension axis is considered for the purpose of clarifying the mechanism of the transition to turbulence. |
| format | Article |
| id | doaj-art-7e1e9fa6fa6a401e9de684f6ee08a975 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-7e1e9fa6fa6a401e9de684f6ee08a9752025-02-03T05:51:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1997-01-01129911010.1155/S1026022697000113Universality of oscillation theory laws. types and role of mathematical modelsPolina S. Landa0Department of Physics, Moscow State University, Moscow 119899, RussiaThe universality of oscillation theory laws is discussed. It is suggested that all models of concrete systems be separated into four categories: models – “portraits” of investigated systems, models of the type of “black box”, aggregating models, and models of certain phenomena which can occur in real systems. As an example of the model of the fourth type, the equation of oscillations of a pendulum with a randomly vibrating suspension axis is considered for the purpose of clarifying the mechanism of the transition to turbulence.http://dx.doi.org/10.1155/S1026022697000113OscillationsTurbulenceNoise-induced phase transitions. |
| spellingShingle | Polina S. Landa Universality of oscillation theory laws. types and role of mathematical models Discrete Dynamics in Nature and Society Oscillations Turbulence Noise-induced phase transitions. |
| title | Universality of oscillation theory laws. types and role of mathematical models |
| title_full | Universality of oscillation theory laws. types and role of mathematical models |
| title_fullStr | Universality of oscillation theory laws. types and role of mathematical models |
| title_full_unstemmed | Universality of oscillation theory laws. types and role of mathematical models |
| title_short | Universality of oscillation theory laws. types and role of mathematical models |
| title_sort | universality of oscillation theory laws types and role of mathematical models |
| topic | Oscillations Turbulence Noise-induced phase transitions. |
| url | http://dx.doi.org/10.1155/S1026022697000113 |
| work_keys_str_mv | AT polinaslanda universalityofoscillationtheorylawstypesandroleofmathematicalmodels |