On Flows Spectrum on Closed Trio of Contours with Uniform Load
Considered dynamical system is a flow of clusters with the same length $l$ on contours of unit lengthconnected in polar-remote points into closed chain.When clusters move trough common node, the left-priority rule of conflict resolution works.In the paper it is shown that in the case of chain consis...
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| Published in: | European journal of pure and applied mathematics Vol. 11; no. 1; pp. 260 - 283 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
30-01-2018
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| Online Access: | Get full text |
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| Abstract | Considered dynamical system is a flow of clusters with the same length $l$ on contours of unit lengthconnected in polar-remote points into closed chain.When clusters move trough common node, the left-priority rule of conflict resolution works.In the paper it is shown that in the case of chain consisted third contours the dynamical system has a spectrum of velocity and mode periodicity consisted on not more two components.Distribution of spectrum in dependence on load $l$ is developed.Hypothesis on discrete spectrum in the case of arbitrary number of contours are formulated. |
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| AbstractList | Considered dynamical system is a flow of clusters with the same length $l$ on contours of unit lengthconnected in polar-remote points into closed chain.When clusters move trough common node, the left-priority rule of conflict resolution works.In the paper it is shown that in the case of chain consisted third contours the dynamical system has a spectrum of velocity and mode periodicity consisted on not more two components.Distribution of spectrum in dependence on load $l$ is developed.Hypothesis on discrete spectrum in the case of arbitrary number of contours are formulated. |
| Author | Yashina, Marina Victorovna Tatashev, Alexander Gennadjevich Buslaev, Alexander Pavlovich |
| Author_xml | – sequence: 1 givenname: Alexander Pavlovich orcidid: 0000-0002-8818-9500 surname: Buslaev fullname: Buslaev, Alexander Pavlovich – sequence: 2 givenname: Alexander Gennadjevich surname: Tatashev fullname: Tatashev, Alexander Gennadjevich – sequence: 3 givenname: Marina Victorovna orcidid: 0000-0001-8810-918X surname: Yashina fullname: Yashina, Marina Victorovna |
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| Title | On Flows Spectrum on Closed Trio of Contours with Uniform Load |
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