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New bifurcations in the simplest passive walking model
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10.1063/1.4824975
/content/aip/journal/chaos/23/4/10.1063/1.4824975
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/4/10.1063/1.4824975

Figures

Image of FIG. 1.
FIG. 1.

The walking model and a typical step.

Image of FIG. 2.
FIG. 2.

The bifurcation diagram of for .

Image of FIG. 3.
FIG. 3.

The first three period-doubling bifurcation diagrams.

Image of FIG. 4.
FIG. 4.

The period-doubling bifurcation diagrams from periods 5, 6, and 7.

Image of FIG. 5.
FIG. 5.

The walking gaits of periods 1, 2, 3, 4, 5, 6, and 7.

Image of FIG. 6.
FIG. 6.

The structure of the domain of at .

Image of FIG. 7.
FIG. 7.

The cyclic-fold and period-doubling bifurcations for the period-3 gait.

Image of FIG. 8.
FIG. 8.

The continuation and bifurcations for other periodic gaits.

Image of FIG. 9.
FIG. 9.

The walking gaits after the first period-doubling bifurcations.

Image of FIG. 10.
FIG. 10.

The topological horseshoe at .

Image of FIG. 11.
FIG. 11.

The topological horseshoe at .

Image of FIG. 12.
FIG. 12.

The topological horseshoe at .

Tables

Generic image for table
Table I.

Information about the period gaits and their bifurcation diagrams.

Generic image for table
Table II.

Computer assisted proofs of the existence of stable period- gaits.

Generic image for table
Table III.

Computer assisted proofs of the existence of stable period-2 gaits.

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/content/aip/journal/chaos/23/4/10.1063/1.4824975
2013-10-25
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: New bifurcations in the simplest passive walking model
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/4/10.1063/1.4824975
10.1063/1.4824975
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