Experimental Mathematics
- Experiment. Math.
- Volume 8, Issue 3 (1999), 253-260.
Tangencies for real and complex Hénon maps: an analytic method
John Erik Fornæss and Estela A. Gavosto
Abstract
We present a method for computing generic homoclinic tangencies in the complex Hénon map, based on analytic parametrizations of the stable and unstable manifold, and we discuss applications and consequences of the existence of such tangencies.
Article information
Source
Experiment. Math., Volume 8, Issue 3 (1999), 253-260.
Dates
First available in Project Euclid: 9 March 2003
Permanent link to this document
https://projecteuclid.org/euclid.em/1047262406
Mathematical Reviews number (MathSciNet)
MR1724158
Zentralblatt MATH identifier
0955.37010
Subjects
Primary: 37F45: Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations
Secondary: 32H50: Iteration problems 37M99: None of the above, but in this section 65P30: Bifurcation problems
Citation
Fornæss, John Erik; Gavosto, Estela A. Tangencies for real and complex Hénon maps: an analytic method. Experiment. Math. 8 (1999), no. 3, 253--260. https://projecteuclid.org/euclid.em/1047262406
