Кулаков М.П., Фрисман Е.Я.
Использование эффекта кластеризации в системах связанных отображений для описания динамики метапопуляций
Математическая биология и биоинформатика. 2015;10(1):220-233.
doi: 10.17537/2015.10.220.
Список литературы
- Udwadia F.E., Raju N. Dynamics of Coupled Nonlinear Maps and Its Application to Ecological Modeling. Applied Mathematics and Computation. 1997;82:137-179. doi: 10.1016/S0096-3003(96)00027-6
- Kaneko K. Relevance of dynamic clustering to biological network. Phisica D. 1994;75:55-73. doi: 10.1016/0167-2789(94)90274-7
- Opdam P. Metapopulation theory and habitat fragmentation: a review of holarctic breeding bird studies. Landscape Ecology. 1991;5(2):93-106. doi: 10.1007/BF00124663
- Wysham D.B., Hastings A. Sudden Shift Ecological Systems: Intermittency and Transients in the Coupled Riker Population Model. Bulletin of Mathematical Biology. 2008;70:1013-1031. doi: 10.1007/s11538-007-9288-8
- Manica V., Silva J.A.L. Population distribution and synchronized dynamics in a metapopulation model in two geographic scales. Mathematical Biosciences. 2014;250:1-9. doi: 10.1016/j.mbs.2014.02.002
- Kulakov M.P., Frisman E.Ia. Izvestiia vysshikh uchebnykh zavedenii. Prikladnaia nelineinaia dinamika (Applied Nonlinear Dynamics. Izvestiya VUZ). 2010;18(6):25-41 (in Russ.).
- Kulakov M.P., Aksenovich T.I., Frisman E.Ia. Regional'nye problemy(Regional Problems). 2013;16(1):5-14 (in Russ.).
- Kulakov M.P. Regional'nye problemy(Regional Problems). 2014;17(2):28-34 (in Russ.).
- Oppo G.-L., Kapral R. Discrete models for the formation and evolution of spatial structure in dissipative systems. Phys. Rev. A. 1984;33(6):4219-4231. doi: 10.1103/PhysRevA.33.4219
- Waller I., Kapral R. Spatial and temporal structure in systems of coupled nonlinear oscillators. Phys. Rev. A. 1986;30(4):2047-2055. doi: 10.1103/PhysRevA.30.2047
- Kuznetsov S.P. Izv. Vuzov: Radiofizika (Radiophysics and Quantum Electronics). 1985;27(8):991-1007 (in Russ.).
- Kaneko K. Clustering, coding, switching, hierarchical, ordering, and control in network of chaotic elements. Physica D. 1990;41:137-172. doi: 10.1016/0167-2789(90)90119-A
- Popovych O., Pikovsky A., Maistrenko Yu. Cluster-splitting bifurcation in a system of coupled maps. Physica D. 2002;168-169:106-125. doi: 10.1016/S0167-2789(02)00499-2
- Ivanova A.S., Kuznetsov S.P. Izvestiia vysshikh uchebnykh zavedenii. Prikladnaia nelineinaia dinamika (Applied Nonlinear Dynamics. Izvestiya VUZ). 2003;11(4-5):80-88 (in Russ.).
- Kulakov M.P., Frisman E.Ya. Attraction basins of clusters in coupled map lattices. Nelin. Dinam. 2015;11(1):51-76 (in Russ.).
- Kulakov M.P., Revutskaia O.L. Regional'nye problemy(Regional Problems). 2011;14(2):12-20 (in Russ.).
- Ecology, Genetics and Evolution of Metapopulations. Eds. Hanski Ilkka, Gaggiotti Oscar. London: Academic Press; 2004. 696 p.
