bifurcation

English - English

Definition of bifurcation in English English dictionary: Either of the forks or other branches resultant from such a division; The change in the qualitative or topological structure of a given family as decribed by bifurcation theory; The point where a channel divides when proceeding from seaward; Any place where one thing divides into two; A place where two roads, tributaries etc. part or meet; The act of bifurcating; branching or dividing in two; A division into two branches; {n} a korking, dividing into two parts; The phenomenon whereby a perfectly straight member may either assume a deflected position, deflect then twist out of plane, or may remain in an undeflected configuration; A sudden qualitative change in the behavior of a system; the act of splitting into two branches; Location where a river separates in two or more reaches or branches (the opposite of a confluence); A term used according to the theory of bifurcation, by René Thom, which is "a set of methods used to study and classify the ways in which a system can undergo sudden large changes in behaviour as one or more of the variables that control it are changed continuously"; {i} division into two parts; A point at which a system splits into two alternative behaviours, either being possible, the one actually followed often being indeterminate (unpredictable); A branch made by more than one finger image ridge; The anatomic area where roots of a two-rooted tooth separates; the place where something divides into two branches; division into two parts or branches or where these branches split apart; A branch made by more than one fingerprint image ridge; The splitting or branching of possible states that a system can assume due to changing parameters; Splitting a trial into two parts: a liability phase and a penalty phase In some cases, a new jury may be empaneled to deliberate for the penalty phase; a division into two or more branches; The separation of gains and losses on investment transactions involving foreign currencies For instance, the amount of profit attributable to the increase in the price of a German stock on the Frankfurt DAX Stock Exchange, as opposed to the amount of profit attributable to the change in the Deutsche Mark versus the dollar Important for provisions of IRS Code 988; any abrupt change in the qualitative form of an attractor or in a system's steady-state behavior, as one or more parameters are changed; To bifurcate means to split apart In dynamics, bifurcation often means a change in the structure of orbits For example, two new fixed points may "bifurcate" away from a given fixed point Or an attracting n-cycle may bifurcate away from a fixed point; the act of splitting into two branches the place where something divides into two branches a bifurcating branch (one or both of them); refers to a point base that is split; having two branches or divisions; A forking, or division into two branches; a bifurcating branch (one or both of them); A node in a tree that connects exactly three branches If the tree is directed (rooted), then one of the branches represents an ancestral lineage and the other two branches represent descendent lineages Synonym: dichotomy; A dividing of a structure When used to describe a signaling channel, it supports two separate interpretations The subchannels within the structure may branch in order to go to two distinct terminals simultaneously, or some subchannels may be routed differently than others in order to serve individual destinations Each optic nerve bifurcates twice in the process of terminating in the brain
bifurcation theory: A branch of mathematics concerned with dynamical systems which suffer sudden qualitative changes from an infinitesimal change in a parameter
saddle node bifurcation: In the mathematical area of bifurcation theory a saddle-node bifurcation or tangential bifurcation is a local bifurcation in which two fixed points (or equilibria) of a dynamical system collide and annihilate each other. The term 'saddle-node bifurcation' is most often used in reference to continuous dynamical systems. In discrete dynamical systems, the same bifurcation is often instead called a fold bifurcation. Another name is blue skies bifurcation in reference to the sudden creation of two fixed points
tangential bifurcation: In the mathematical area of bifurcation theory a saddle-node bifurcation or tangential bifurcation is a local bifurcation in which two fixed points (or equilibria) of a dynamical system collide and annihilate each other. The term 'saddle-node bifurcation' is most often used in reference to continuous dynamical systems. In discrete dynamical systems, the same bifurcation is often instead called a fold bifurcation. Another name is blue skies bifurcation in reference to the sudden creation of two fixed points
bifurcations: plural of bifurcation

bifurcation

Hyphenation

bi·fur·ca·tion

Turkish pronunciation

bayfırkeyşın

Synonyms

branching, fork, forking

Pronunciation

/ˌbīfərˈkāsʜən/ /ˌbaɪfɜrˈkeɪʃən/

Etymology

() From bifurcate 'to divide into branches', from medieval Latin bifurcatus, the past participle of bifurcare, from Latin bifurcus 'two-spronged', itself from bi- + furca 'fork'