Abakumov A.I., Izrailsky Yu.G., Frisman E.Ya.
Complex Plankton Dynamics in a Topographic Eddy
Mathematical Biology & Bioinformatics. 2015;10(2):416-426.
doi: 10.17537/2015.10.416.
References
- Lyapunov A. About study of balance ratios in biocenosis. Biology Bulletin Reviews. 1968;29(6):351-359 (in Russ.).
- Jørgensen S. Upravlenie ozernymi sistemami.Moscow; 1985. (Translation of: Jørgensen S.E. Lake Management. Pergamon Press; 1980. 167 p.).
- Dombrovskij Yu., Markman G.Prostranstvennaia i vremennaia uporiadochennost' v ekologicheskikh i biokhimicheskikh sistemakh( Spatial and Temporal Ordering in Ecological and Biochemical Systems). Rostov-on-Don: Rostov State Univ. Press; 1983. 120 p. (in Russ.).
- Kozlov V.F., Koshel' K.V. Chaotic advection in the models for background flows of geophysical hydrodynamics. In: Fundamental and Applied Problems in the Theory of Vortices. Moscow-Izhevsk: Institute of Computer Science, 2003. p. 471-504. (in Russ.).
- Kozlov V.F. Background flows in geophysical fluid dynamics. Izv. Akad. Nauk. Phys. Atm. Ocean . 1995;31(2):245-250 (in Russ.).
- Zaslavsky G.M., Sagdeev R.Z. Vvedenie v nelineinuiu fiziku. Ot maiatnika do turbulentnosti i khaosa (Nonlinear Physics: from the Pendulum to Turbulence and Chaos). Moscow: Nauka; 1988 (in Russ.).
- Wiggins S. Introduction to applied nonlinear dynamical systems and chaos. Springer-Verlag, New York; 1990. doi: 10.1007/978-1-4757-4067-7
- Ottino J. The Kinematics of Mixing: Stretching, Chaos, and Transport. Cambridge University Press, Cambridge, UK; 1997.
- Aref H. Integrable, chaotic, and turbulent vortex motion in two-dimensional flows. Annual Review of Fluid Mechanics. 1983;15(1):345-389. doi: 10.1146/annurev.fl.15.010183.002021
- Aref H. Stirring by chaotic advection. Journal of Fluid Mechanics. 1984;143:1-21. doi: 10.1017/S0022112084001233
- Aref H. Chaotic advection of fluid particles. Phil. Trans. Roy. Soc. London. 1990;333(1631):73-288.
- Izrailsky Y.G., Koshel K.V., Stepanov D.V. Determination of the optimal excitation frequency range in background flows. Chaos. 2008;18(1):13107. doi: 10.1063/1.2835349
- Spravochnik po spetsial'nym funktsiiam s formulami, grafikami i matematicheskimi tablitsami . Eds.: Abramovits M., Stigan I. Moscow; 1979. (Translation of: Handbook of mathematical functions with formulas, graphs and mathematical tables. Ed. Abramovvitz M., Stegun I. National Bureau of Standards Applied Mathematics Series - 55; 1964).
- Abrosov N., Bogoliubov A. Ekologicheskie i geneticheskie zakonomernosti sosushchestvovaniia i koevoliutsii vidov (Ecological Genetic Laws of Coexistence and Coevolution of Species). Novosibirsk; 1988. 333 p. (in Russ.).
