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Hopf bifurcation and transition to chaos in Lotka-Volterra equation

✍ Scribed by L. Gardini; R. Lupini; M. G. Messia

Book ID
104698638
Publisher
Springer
Year
1989
Tongue
English
Weight
628 KB
Volume
27
Category
Article
ISSN
0303-6812

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✦ Synopsis

It is shown that in a suitable class of Lotka-Volterra systems it is possible to characterize the centre-critical case of the Hopf bifurcation of the multipopulation equilibrium. Moreover, for three populations, it is shown that, in the non-critical case, Hopf bifurcation is supercritical. Numerical evidence of transition to chaotic dynamics, via period-doubling cascades, from the limit cycle is reported.

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