The feasible domains and their bifurcations in an extended logistic model with an external interference

International Journal of Bifurcation and Chaos

Volumn 17, Issue 3, 2007, Pages 877-889

  Gu, En Guo ^a  

^a ZHENGZHOU COLLEGE OF ANIMAL HUSBANDRY ENGINEERING   (China)

Author keywords

Basin of attraction; Domains of feasible trajectories; Extended logistic model with an external interference; Focal point; Global bifurcations; Nondefinition set; Prefocal set

Indexed keywords

CHAOTIC SYSTEMS; COMPUTATIONAL METHODS; MATHEMATICAL MODELS; SYSTEMS ANALYSIS; TRAJECTORIES;

CHAOTIC REPELLORS; DISCRETE MODELS; FOCAL POINT; GLOBAL BIFURCATIONS; LOGISTIC MODELS;

BIFURCATION (MATHEMATICS);

EID: 34249030235     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407017604     Document Type: Article

References (8)

1. Bischi, G. I., Gardini, L. & Mira, C. [1999] "Maps with denominator. Part 1: Some generic properties," Int. J. Bifurcation and Chaos 9, 119-153.
2. Bischi, G. I., Gardini, L. & Mira, C. [2003] "Plane maps with denominator. Part 2: Noninvertible maps with simple focal points," Int. J. Bifurcation and Chaos 13, 2253-2277.
3. Bischi, G. I., Gardini, L. & Mira, C. [2005] "Maps with denominator. Part 3: Non simple focal points and related bifurcations," Int. J. Bifurcation and Chaos 15, 451-496.
4. Gu, E.-G. & Rung, J. [2005] "On some global bifurcations of domains of feasible trajectories: Analysis of recurrence equations," Int. J. Bifurcation and Chaos 15, 1625-1639.
5. Levine, S. H., Scudo, F. M. & Plunkett, D. J. [1977] "Persistence and convergence of ecosystems: An analysis of some second order difference equations," J. Math. Bio. 4, 171-182.
6. Maynard Smith, J. [1968] Mathematical Ideas in Biology (Cambridge University Press, Cambridge).
7. Morimoto, Y. [1989] "Variation and bifurcation diagram in difference equation, x(t + 1) = ax(t)(1 -x(t) -bx(t - 1))," Trans. IEICE 72, 1-3.
8. Ott, E. [1993] Chaos in Dynamical Systems (World Scientific, Singapore).