Category:Mappings

From Scholarpedia

Editor: Dr. James Meiss, Applied Mathematics University of Colorado

A mapping is a discrete time, deterministic dynamical system. Mappings arise, for example, from Poincaré sections of flows of differential equations, from dynamics with impacts or impulsive forces, from naturally discrete time systems such as population dynamics with generations or coin flips, as well from the mathematics of self-transformations of a manifold.

Subcategories

There is 1 subcategory to this category.

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• Mappings

Articles in category "Mappings"

There are 56 articles in this category.

A Anosov diffeomorphism Anti-integrable limit Arnold cat map Aubry-Mather theory Axiom A systems B Belykh map C Chaotic time series Chirikov standard map Circle maps Combinatorial dynamics Conjugate maps Coupled maps D Dynamical billiards F Fixed point H Henon map Henri Poincaré Holomorphic dynamics Homoclinic bifurcation

H cont. Hyperbolic dynamics I Ikeda map Iterated map J Jakobson theorem Julia sets K Kneading theory Kolmogorov-Arnold-Moser theory L Lozi map M Mandelbrot set Maps with vanishing denominators Minimal dynamical systems Morse-Smale systems N Neimark-Sacker bifurcation Newhouse phenomenon Non-standard ergodic theorems Noninvertible maps Nontwist maps Nonuniform hyperbolicity P Partial hyperbolicity

P cont. Period doubling Pesin entropy formula Poincare map Pseudo-Anosov maps Q Quadratic maps R Renormalization in dynamics Rotation theory S Saddle-node bifurcation for maps Sharkovsky ordering Siegel disks Smale horseshoe Stability of fixed points for symplectic maps Symbolic dynamics T Topological dynamics Topological transitivity U Uniformly hyperbolic attractors Unimodal maps Unstable periodic orbits Z Zaslavsky map