Bifurcations and chaos in a time-discrete integral model of population dynamics.
The properties of a time-discrete integral model of population dynamics are studied. The model equations define a dynamic system in the cone of nonnegative functions in L2. The presence of dissipator caused by spatial interaction is detected. Several bifurcations of codimensions 1 and 2 are investigated. The model may go over to chaotic behavior through a sequence of period-doubling bifurcations. The Lyapunov exponents and dimension of an attractor are found. The higher dimension of an attractor is shown to be a common feature of chaotic behavior.
Tuzinkevich
A V
AV
Institute for Automation and Control Processes, Vladivostok, Russia.
D004463:Ecology; D008433:Mathematics; D008954:Models, Biological; D010944:Plants; D011157:Population Dynamics; D013997:Time Factors