Fold Bifurcation
Let 
be a one-parameter family of 
Map satisfying
then there exist intervals
, 
and 
such that- 1. If
, then 
has two fixed points in 
with the positive onebeing unstable and the negative one stable, and - 2. If
, then has no fixed points in .
(Guckenheimer and Holmes 1997, p. 145).See also Bifurcation
References
Guckenheimer, J. and Holmes, P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 3rd ed. New York: Springer-Verlag, pp. 145-149, 1997. Rasband, S. N. Chaotic Dynamics of Nonlinear Systems. New York: Wiley, pp. 27-28, 1990.
- Quadratic Reciprocity Theorem
- Quadratic Recurrence
- Quadratic Residue
- Quadratic Sieve Factorization Method
- Quadratic Surd
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- Quadratrix of Hippias
- Quadrature
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- Quarter
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