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Date: 6-1-2016
2628
Date: 12-10-2021
895
Date: 9-11-2021
830
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Let be a one-parameter family of maps satisfying
(1) |
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(2) |
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(3) |
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(4) |
Then there are intervals , , and such that
1. If , then has one unstable fixed point and one stable orbit of period two for , and
2. If , then has a single stable fixed point for .
This type of bifurcation is known as a flip bifurcation. An example of an equation displaying a flip bifurcation is
(5) |
REFERENCES:
Rasband, S. N. Chaotic Dynamics of Nonlinear Systems. New York: Wiley, pp. 27-30, 1990.
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