Intermittency in inverted-pitchfork bifurcations of dissipative and conservative maps
- 24 April 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (17) , 1933-1936
- https://doi.org/10.1103/physrevlett.62.1933
Abstract
We consider intermittency in inverted-pitchfork bifurcation of a 1D dissipative map and of a 2D conservative map. Exact solutions to respective renormalization-group equations are constructed and scaling ratios obtained. The effect of noise is considered and scaling laws in the presence of noise are deduced. Results for the saddle-node bifurcation in 2D area-preserving maps are presented.Keywords
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