ISSN:
0748-8025
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
A Hopf bifurcation where a stable fixed pointer bifurcates into a stable periodic orbit as a parameter passes through a critical value, occurs frequently in nonlinear problems. Here, the Maynard Smith nonlinear map in population dynamics involving a parameter k is analysed with the help of numerical experiments in order to determine the periodic structure of the map beyond the primary Hopf bifurcation of period 6 which occurs at k = 1. The interesting result obtained is that in the parameter range from k = 1 to the value for blow-up of all initial conditions, there are successive windows of periods 7, 8 and 9, the last containing a secondary Hopf bifurcation of period 4.
Additional Material:
14 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/cnm.1630040219
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