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Topological invariants in the study of a chaotic food chain system
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10.1063/1.2903843
/content/aip/journal/chaos/18/2/10.1063/1.2903843
http://aip.metastore.ingenta.com/content/aip/journal/chaos/18/2/10.1063/1.2903843

Figures

Image of FIG. 1.
FIG. 1.

(a) Solution visualized as a trajectory in the three-dimensional space for and . (b) Projection of the three-dimensional trajectory onto the -plane for and .

Image of FIG. 2.
FIG. 2.

(a) The iterated map for and . (b) The iterated map for and .

Image of FIG. 3.
FIG. 3.

(a) Bifurcation diagram for as a function of , with and . (b) Bifurcation diagram for as a function of , with and .

Image of FIG. 4.
FIG. 4.

(a) Variation of the topological entropy for , with . (b) Variation of the topological entropy for , with . (c) Periodic orbits of the turning point . From right to left, the corresponding kneading sequences are: , , , , , , , and . The grey region is part of the region studied below.

Image of FIG. 5.
FIG. 5.

(a) Representation of points in region . Each point corresponds to a map with topological entropy . (b) Piecewise linear map for and .

Image of FIG. 6.
FIG. 6.

(a) Variation of the topological invariant with . (b) Variation of the topological invariant with .

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/content/aip/journal/chaos/18/2/10.1063/1.2903843
2008-04-23
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Topological invariants in the study of a chaotic food chain system
http://aip.metastore.ingenta.com/content/aip/journal/chaos/18/2/10.1063/1.2903843
10.1063/1.2903843
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