“bifurcation”的概念、定义、翻译、参考文献-科学参考

bifurcation

Physics

A phenomenon that can occur in a dynamical system in which some solutions of a certain type for the system, such as laminar flow in a fluid, suddenly change to another type, such as turbulent flow, when one of the parameters that characterizes the system reaches a critical value. Bifurcation is an important phenomenon in chaos theory.

Mathematics

The values of a parameter at which the nature of an equilibrium or attractor changes in a dynamical system. Commonly, a stable equilibrium might become unstable but bifurcate (i.e. split) into two stable equilibria. See logistic map.

Chemistry

A phenomenon in dynamical systems in which the number of solutions for a type of behaviour suddenly changes when one of the parameters defining the system reaches a critical value. Bifurcations can be depicted in a bifurcation diagram in which one axis of a graph is a variable of the system and the other axis is a parameter that can bring about bifurcations. In many systems a whole series of bifurcations occur, called bifurcation cascades. In certain cases these bifurcation cascades can lead to chaotic reactions.

Computer

A splitting in two. The term can be applied in computing in various ways.

1. Bifurcation is the generic name for a collection of algorithms that initially convert a decision table into a tree structure, which can then be systematically encoded to produce a program.
The bifurcation method involves choosing some condition C and eliminating it from the decision table to produce two subtables, one corresponding to the case when C is true and the other to when C is false. The method is then applied recursively to the two subtables. From this approach a decision tree can be built, each node of the tree representing a condition and subtrees representing subtables; leaf nodes identify rules.

2. Bifurcation theory is the theory of equilibrium solutions of nonlinear differential equations; an equilibrium solution is a steady solution, a time periodic, or a quasi-periodic solution. Generally bifurcation points are points at which branches and therefore multiple solutions appear.

Geology and Earth Sciences

In a phylogenetic (see phylogeny) tree, the dichotomous forking of an ancestral branch which indicates a speciation event.

单词	bifurcation
释义	bifurcation Physics A phenomenon that can occur in a dynamical system in which some solutions of a certain type for the system, such as laminar flow in a fluid, suddenly change to another type, such as turbulent flow, when one of the parameters that characterizes the system reaches a critical value. Bifurcation is an important phenomenon in chaos theory. Mathematics The values of a parameter at which the nature of an equilibrium or attractor changes in a dynamical system. Commonly, a stable equilibrium might become unstable but bifurcate (i.e. split) into two stable equilibria. See logistic map. Chemistry A phenomenon in dynamical systems in which the number of solutions for a type of behaviour suddenly changes when one of the parameters defining the system reaches a critical value. Bifurcations can be depicted in a bifurcation diagram in which one axis of a graph is a variable of the system and the other axis is a parameter that can bring about bifurcations. In many systems a whole series of bifurcations occur, called bifurcation cascades. In certain cases these bifurcation cascades can lead to chaotic reactions. Computer A splitting in two. The term can be applied in computing in various ways. 1. Bifurcation is the generic name for a collection of algorithms that initially convert a decision table into a tree structure, which can then be systematically encoded to produce a program. The bifurcation method involves choosing some condition C and eliminating it from the decision table to produce two subtables, one corresponding to the case when C is true and the other to when C is false. The method is then applied recursively to the two subtables. From this approach a decision tree can be built, each node of the tree representing a condition and subtrees representing subtables; leaf nodes identify rules. 2. Bifurcation theory is the theory of equilibrium solutions of nonlinear differential equations; an equilibrium solution is a steady solution, a time periodic, or a quasi-periodic solution. Generally bifurcation points are points at which branches and therefore multiple solutions appear. Geology and Earth Sciences In a phylogenetic (see phylogeny) tree, the dichotomous forking of an ancestral branch which indicates a speciation event.
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