field bifurcation

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• Bogdanov-Takens bifurcation — In bifurcation theory, a field within mathematics, a Bogdanov Takens bifurcation is a well studied example of a bifurcation with co dimension two, meaning that two parameters must be varied for the bifurcation to occur. It is named after R. I.… …   Wikipedia

• Pitchfork bifurcation — In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation. Pitchfork bifurcations, like Hopf bifurcations have two types supercritical or subcritical. In flows, that is, continuous… …   Wikipedia

• Transcritical bifurcation — In bifurcation theory, a field within mathematics, a transcritical bifurcation is a particular kind of local bifurcation, meaning that it is characterized by an equilibrium having an eigenvalue whose real part passes through zero. Both before and …   Wikipedia

• Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… …   Wikipedia

• Mathematical and theoretical biology — is an interdisciplinary scientific research field with a range of applications in biology, medicine and biotechnology.[1] The field may be referred to as mathematical biology or biomathematics to stress the mathematical side, or as theoretical… …   Wikipedia

• Cellular neural network — Cellular neural networks (CNN) are a parallel computing paradigm similar to neural networks, with the difference that communication is allowed between neighbouring units only. Typical applications include image processing, analyzing 3D surfaces,… …   Wikipedia

• Mathematical biology — For use of basic artimethics in Biology, see relevant topic, such as Serial dilution. Mathematical biology, biological mathematical modeling, biomathematics or computational biomodeling is an interdisciplinary field of academic study which aims… …   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

• Chaos theory — This article is about chaos theory in Mathematics. For other uses of Chaos theory, see Chaos Theory (disambiguation). For other uses of Chaos, see Chaos (disambiguation). A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 …   Wikipedia

• Chaos theory in organizational development — refers to a subset of chaos theory which incorporates principles of quantum mechanics and presents them in a complex systems environment. Contents 1 Background 2 Elements of organization 2.1 Self organization …   Wikipedia

• Cellular model — Part of the Cell Cycle Creating a cellular model has been a particularly challenging task of systems biology and mathematical biology. It involves developing efficient algorithms, data structures, visualization and communication tools to… …   Wikipedia