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bifurcations
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Definitions of bifurcations in various dictionaries:
noun - a bifurcating branch (one or both of them)
noun - the place where something divides into two branches
noun - the act of splitting into two branches
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| Plural form of bifurcation. |
| the division of something into two branches or parts. |
| The division of something into two branches or parts. |
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| Bifurcations might be related to |
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| Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations. Most commonly applied to the mathematical study of dynamical systems, a bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters) of a system causes a sudden 'qualitative' or topological change in its behaviour. Bifurcations occur in both continuous systems (described by ODEs, DDEs or PDEs) and discrete systems (described by maps). The name "bifurcation" was first introduced by Henri Poincaré in 1885 in the first paper in mathematics showing such a behavior. Henri Poincaré also later named various types of stationary points and classified them. |