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bifurcation set

См. также в других словарях:

  • Bifurcation theory — is the mathematical study of changes in the qualitative or topological structure of a given family. Examples of such families are the integral curves of a family of vector fields or, the solutions of a family of differential equations. Most… …   Wikipedia

  • Bifurcation locus — In complex dynamics, the bifurcation locus of a family of holomorphic functions informally is a locus of those maps for which the dynamical behavior changes drastically under a small perturbation of the parameter. Thus the bifurcation locus can… …   Wikipedia

  • Bifurcation (law) — In law, bifurcation is a judge s ability to divide a trial into two parts so as to render a judgment on a set of legal issues without looking at all aspects. Frequently, civil cases are bifurcated into separate liability and damages proceedings.… …   Wikipedia

  • Affine focal set — In mathematics, and especially affine differential geometry, the affine focal set of a smooth submanifold M embedded in a smooth manifold N is the caustic generated by the affine normal lines. It can be realised as the bifurcation set of a… …   Wikipedia

  • Symmetry set — In geometry, the symmetry set is a method for representing the local symmetries of a curve, and can be used as a method for representing the shape of objects by finding the topological skeleton. The medial axis, a subset of the symmetry set is a… …   Wikipedia

  • Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment …   Wikipedia

  • Julia set — In complex dynamics, the Julia set J(f), [Note that in other areas of mathematics the notation J(f), can also represent the Jacobian matrix of a real valued mapping f, between smooth manifolds.] of a holomorphic function f, informally consists of …   Wikipedia

  • Catastrophe theory — This article refers to the study of dynamical systems. For other meanings, see catastrophe. In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more… …   Wikipedia

  • Unfolding — In mathematics, an unfolding of a function is a certain family of functions. Let M be a smooth manifold and consider a smooth mapping f : M o mathbb{R}. Let us assume that for given x 0 in M and y 0 in mathbb{R} we have f(x 0) = y 0 . Let N be a… …   Wikipedia

  • Numerical continuation — is a method of computing approximate solutions of a system of parameterized nonlinear equations, The parameter λ is usually a real scalar, and the solution an n vector. For a fixed parameter value λ,, maps Euclidean n space into itself. Often the …   Wikipedia

  • Rössler attractor — The Rössler attractor (pronEng|ˈrɒslɚFact|date=December 2007) is the attractor for the Rössler system, a system of three non linear ordinary differential equations. These differential equations define a continuous time dynamical system that… …   Wikipedia

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