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1. Bifurcation: A term in certain branches of mathematics, applied to situations in which some object $ \mathfrak D = \mathfrak D ( \lambda ) $ depends on a parameter $ \lambda $( which is not necessarily scalar) and which is such that in any neighbourhood of a certain ... (Mathematics) [100%] 2023-12-22
2. Bifurcation: A bifurcation of a dynamical system is a qualitative change in its dynamics produced by varying parameters. Consider an autonomous system of ordinary differential equations (ODEs) \[\tag{1} \dot{x}=f(x,\lambda),\ \ \ x \in {\mathbb R}^n, \ \ \ \lambda \in ... [100%] 2021-12-24 [Bifurcations] [Dynamical Systems]...
3. Bifurkation: Bifurkation (von lateinisch bi „zwei“, und furca „Gabel“) steht für: Siehe auch. [90%] 2023-06-25
4. Bifurcacion: Esta página de desambiguación enumera artículos que tienen títulos similares. Bifurcación (del latín bifurcus, ahorquillado), es la acción de separar algo en varias partes;[1]​ más específicamente se puede referir a: ## Matemáticas[editar] * La Teoría de bifurcaciones, la cual estudia ... [90%] 2023-06-01
5. Homoclinic bifurcations: Consider an autonomous system of ordinary differential equations depending on a parameter $$ \tag{a1 } {\dot{x} } = f ( x, \alpha ) , \quad x \in \mathbf R ^ {n} , \alpha \in \mathbf R ^ {1} , $$ where $ f $ is smooth. Denote by $ \varphi _ \alpha ^ {t ... (Mathematics) [77%] 2023-10-12
6. Bautin bifurcation: The Bautin bifurcation is a bifurcation of an equilibrium in a two-parameter family of autonomous ODEs at which the critical equilibrium has a pair of purely imaginary eigenvalues and the first Lyapunov coefficient for the Andronov-Hopf bifucation vanishes ... [70%] 2021-12-24 [Dynamical Systems] [Bifurcations]...
7. River bifurcation: River bifurcation (from Latin: furca, fork) occurs when a river flowing in a single stream separates into two or more separate streams (called distributaries) which then continue downstream. Some rivers form complex networks of distributaries, typically in their deltas. (Earth) [70%] 2023-09-05 [Hydrology] [Fluvial landforms]...
8. Spatial bifurcation: Spatial bifurcation is a form of bifurcation theory. The classic bifurcation analysis is referred to as an ordinary differential equation system, which is independent on the spatial variables. (Mathematical theory) [70%] 2023-11-19 [Bifurcation theory]
9. Shilnikov bifurcation: Shilnikov or Šilnikov bifurcation stands for the homoclinic bifurcation of a saddle-focus equilibrium state () that elicits the onset of complex dynamics in a system. We consider such a saddle-focus at the origin in a 3D system: \[\tag{1 ... [70%] 2021-12-24 [Bifurcations] [Chaos]...
10. Pitchfork bifurcation: In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation where the system transitions from one fixed point to three fixed points. Pitchfork bifurcations, like Hopf bifurcations, have two types – supercritical and subcritical. (Bifurcation from a system having one fixed point to three fixed points) [70%] 2023-08-24 [Bifurcation theory]
11. Bifurcation (law): Bifurcation is a judge's ability in law 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 ... (Social) [70%] 2023-11-15
12. Bifurcation diagram: In mathematics, particularly in dynamical systems, a bifurcation diagram shows the values visited or approached asymptotically (fixed points, periodic orbits, or chaotic attractors) of a system as a function of a bifurcation parameter in the system. It is usual to ... (Visualization of sudden behavior changes caused by continuous parameter changes) [70%] 2023-09-18 [Chaos theory] [Bifurcation theory]...
13. 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. A transcritical bifurcation is one in ... [70%] 2023-12-17 [Bifurcation theory]
14. Electron bifurcation: In biochemistry, electron bifurcation (EB) refers to a system that enables an unfavorable (endergonic) transformation by coupling to a favorable (exergonic) transformation. Two electrons are involved: one flows to an acceptor with a "higher reduction potential and the other with ... (Physics) [70%] 2023-02-24 [Thermodynamic processes] [Chemical thermodynamics]...
15. Bifurcation locus: In complex dynamics, the bifurcation locus of a parameterized family of one-variable holomorphic functions informally is a locus of those parameterized points for which the dynamical behavior changes drastically under a small perturbation of the parameter. Thus the bifurcation ... [70%] 2023-12-28 [Complex analysis]
16. Hopf bifurcation: Consider an autonomous system of ordinary differential equations depending on a parameter $$ \tag{a1 } {\dot{x} } = f ( x, \alpha ) , \quad x \in \mathbf R ^ {n} , \alpha \in \mathbf R ^ {1} , $$ where $ f $ is a smooth function. Suppose that at $ \alpha ... (Mathematics) [70%] 2023-10-21
17. Cusp bifurcation: The cusp bifurcation is a bifurcation of equilibria in a two-parameter family of autonomous ODEs at which the critical equilibrium has one zero eigenvalue and the quadratic coefficient for the saddle-node bifurcation vanishes. At the cusp bifurcation point ... [70%] 2021-12-24 [Dynamical Systems] [Bifurcations]...
18. Lake bifurcation: A lake bifurcation occurs when a lake (a bifurcating lake) has outflows into two different drainage basins. In this case, the drainage divide cannot be defined exactly, as it is situated in the middle of the lake. (Earth) [70%] 2024-03-23 [Hydrology] [Geomorphology]...
19. Bifurcation lake: A bifurcation lake is a lake that has outflows into two different drainage basins and thus the drainage divide cannot be defined exactly because it is situated in the middle of the lake. Vesijako (the name Vesijako actually means "drainage ... (Earth) [70%] 2024-04-05 [Hydrology] [Geomorphology]...
20. Bifurcacion (Geografía): La bifurcación del Hase en Melle (Alemania). A la izquierda de la foto está el Hase, a la derecha el Else. Se denomina bifurcación (del latín furca, 'tenedor') en geografía cuando el troncal, o corriente principal de un río se divide ... [63%] 2023-06-01