Chaotic wave solutions for nonlocal models of a medium with oscillating inclusions (Q2870374)
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scientific article; zbMATH DE number 6247740
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chaotic wave solutions for nonlocal models of a medium with oscillating inclusions |
scientific article; zbMATH DE number 6247740 |
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17 January 2014
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volume forces
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Andronov-Hopf theory
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Poincaré cross-section
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Chaotic wave solutions for nonlocal models of a medium with oscillating inclusions (English)
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The article deals with the investigation of wave solutions to the mathematical model of a complex medium which takes into account the nonlocal interaction of structural elements of the main medium and oscillating dynamics of the additional continuum (inclusions). The methods of numerical and qualitative analysis are used to show that the dynamical system with four-dimensional phase space has periodic, multiperiodic, quasiperiodic, and chaotic solutions. Bifurcation diagrams are constructed showing oscillations development depending on the nonlocality parameters of the dynamic state equation of the medium.
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