Category:Mappings

From Scholarpedia

Editor: Prof. 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 55 articles in this category.

A Anosov diffeomorphism Anti-integrable limit Arnold cat map Asymptotic cycles Axiom A systems B Belykh map Boris Valerianovich Chirikov C Chaotic time series Chirikov standard map Circle maps Combinatorial dynamics Conjugate maps Coupled maps D Dynamical billiards E Expansive systems F Fixed point H Henon map Henri Poincaré

H cont. Holomorphic motions Homoclinic bifurcation Hyperbolic dynamics I Ikeda map Iterated map J Jakobson theorem 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 Noninvertible maps Nontwist maps Nonuniform hyperbolicity P Partial hyperbolicity

P cont. Period doubling Pesin entropy formula Q Quadratic maps R Renormalization in dynamics Reversible 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