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Complex dynamics in a cross-catalytic self-replication mechanism
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10.1063/1.2716396
/content/aip/journal/jcp/126/12/10.1063/1.2716396
http://aip.metastore.ingenta.com/content/aip/journal/jcp/126/12/10.1063/1.2716396
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Bifurcation diagram for the symmetric case . The thin line represents the steady states; the bold line illustrates the minima and maxima of the oscillation’s amplitude as a function of .

Image of FIG. 2.
FIG. 2.

Bifurcation diagram for the symmetric case . The thin line represents the steady states; the bold line illustrates the minima and maxima of the oscillation’s amplitude as a function of .

Image of FIG. 3.
FIG. 3.

Bifurcation diagram of the minima and maxima of the amplitude as a function of for the symmetric case .

Image of FIG. 4.
FIG. 4.

Fold of periodics for the canard bifurcation where stable and unstable limit cycles collide.

Image of FIG. 5.
FIG. 5.

Dynamical behavior for the asymmetric case , . (A) Two stable limit cycles separated by an unstable limit cycle. (B) Two-dimensional view of the stable limit cycles.

Image of FIG. 6.
FIG. 6.

Hysteresis of simple and complex oscillations for the cross-catalytic model with , , , , , , , and . Hysteresis resulting from (A) gradually increasing and (B) gradually decreasing .

Image of FIG. 7.
FIG. 7.

Complex oscillations for the cross-catalytic system with , , , , , , , and . (A) Time series. (B) Three-dimensional attractor.

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/content/aip/journal/jcp/126/12/10.1063/1.2716396
2007-03-27
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Complex dynamics in a cross-catalytic self-replication mechanism
http://aip.metastore.ingenta.com/content/aip/journal/jcp/126/12/10.1063/1.2716396
10.1063/1.2716396
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