VARIETIES OF APERIODIC DYNAMICS IN THE EVENT-DRIVEN POPULATION MODELS
The paper proposes a population model with the event-step structure, which includes continuous and discrete components. The dynamics of a hybrid system is analyzed in a computing environment based on the numerical solution of the sequence of Cauchy problems for the system of differential equations o...
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| Main Author: | |
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| Format: | Article |
| Language: | Russian |
| Published: |
National Academy of Sciences of Belarus, the United Institute of Informatics Problems
2016-10-01
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| Series: | Informatika |
| Online Access: | https://inf.grid.by/jour/article/view/148 |
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| Summary: | The paper proposes a population model with the event-step structure, which includes continuous and discrete components. The dynamics of a hybrid system is analyzed in a computing environment based on the numerical solution of the sequence of Cauchy problems for the system of differential equations of generations decrease. We examine the dynamics of the functional iteration, which has two local extrema and characterizes the impermanence of the fish reproduction effectiveness. A transi-tional aperiodic regime is established with the possibility of attracting the trajectory to two attractors. After the bifurcation of disappearance of two nontrivial stationary points, an interval attractor arises for which a boundary crisis is possible. |
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| ISSN: | 1816-0301 |