Computing Arnol′d tongue scenarios
- 10 January 2007
- journal article
- Published by Elsevier BV in Journal of Computational Physics
- Vol. 220 (2), 932-951
- https://doi.org/10.1016/j.jcp.2006.05.041
Abstract
No abstract availableThis publication has 22 references indexed in Scilit:
- A NEWTON METHOD FOR LOCATING INVARIANT TORI OF MAPSInternational Journal of Bifurcation and Chaos, 2006
- The geometry of resonance tongues: a singularity theory approachNonlinearity, 2003
- On the vertical families of two-dimensional tori near the triangular points of the Bicircular problemCelestial Mechanics and Dynamical Astronomy, 2000
- Towards global models near homoclinic tangencies of dissipative diffeomorphismsNonlinearity, 1998
- Algorithms for computing normally hyperbolic invariant manifoldsZeitschrift für angewandte Mathematik und Physik, 1997
- Computation of Invariant Tori by the Method of CharacteristicsSIAM Journal on Numerical Analysis, 1995
- Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervalsCommunications in Mathematical Physics, 1986
- Bifurcations de points fixes elliptiques. II. Orbites periodiques et ensembles de Cantor invariantsInventiones Mathematicae, 1985
- Resonance Zones in Two-Parameter Families of Circle HomeomorphismsSIAM Journal on Mathematical Analysis, 1984
- Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted studyCommunications in Mathematical Physics, 1982