Title :
Study of periodic modes in generalised Volterra model
Author :
Kouzenkov, Oleg A. ; Ryabova, Elena A.
Author_Institution :
Fac. of Calculating Math. & Cybern., Nizhny Novgorod State Univ., Russia
Abstract :
One approach to study nonlinear distributed models is offered. We establish existence of a stable manifold, which consist of closed trajectories, each of which corresponds to periodic motion, in the generalised Volterra model of the “m predators-n preys” system with a view to study transport phenomena
Keywords :
Volterra equations; nonlinear dynamical systems; closed trajectories; generalised Volterra model; nonlinear distributed models; periodic modes; periodic motion; predator; prey; stable manifold; Cybernetics; Differential equations; Mathematical model; Mathematics; Nonlinear dynamical systems; Reflection;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.874337
