to the mathematical study of dynamical systems, a bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters)...

In mathematics, particularly in dynamical systems, a bifurcation diagram shows the values visited or approached asymptotically (fixed points, periodic...

In mathematics, specifically bifurcation theory, the Feigenbaum constants /ˈfaɪɡənbaʊm/ δ and α are two mathematical constants which both express ratios...

In the mathematical theory of bifurcations, a Hopf bifurcation is a critical point where, as a parameter changes, a system's stability switches and a...

In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation where the system transitions from...

constant δ is the limiting ratio of each bifurcation interval to the next between every period-doubling bifurcation. The logistic map is a polynomial mapping...

bifurcations called a Hopf bifurcation and an infinite period bifurcation.[citation needed] Biological applications of bifurcation theory Biophysics Biostatistics...

In the mathematical area of bifurcation theory a saddle-node bifurcation, tangential bifurcation or fold bifurcation is a local bifurcation in which two...

In bifurcation theory, a field within mathematics, a transcritical bifurcation is a particular kind of local bifurcation, meaning that it is characterized...

In dynamical systems theory, a period-doubling bifurcation occurs when a slight change in a system's parameters causes a new periodic trajectory to emerge...

set theory and mathematical logic. Contents:  Top A B C D E F G H I J K L M N O P Q R S T U V W X Y Z See also References Bifurcation theory the study...

topologically equivalent to the normal form of the bifurcation. For example, the normal form of a saddle-node bifurcation is d x d t = μ + x 2 {\displaystyle {\frac...

{p}{q}}} is known as a bifurcation: the attracting fixed point "collides" with a repelling period-q cycle. As we pass through the bifurcation parameter into the...

qualitatively and the dynamical system is said to have gone through a bifurcation. Bifurcation theory considers a structure in phase space (typically a fixed...

In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general...

the bifurcation locus can be thought of as an analog of the Julia set in parameter space. Without doubt, the most famous example of a bifurcation locus...

E(k)<25^{k^{2}}} . Bifurcation theory Dynamical system Hilbert's sixteenth problem Limit cycle List of unsolved problems in mathematics Ilyashenko, Yu. (1994)...

of a tree are bifurcation ratios, numbers describing how close to balanced a tree is. For each order i in a hierarchy, the ith bifurcation ratio is n i...

In bifurcation theory, a field within mathematics, a Bogdanov–Takens bifurcation is a well-studied example of a bifurcation with co-dimension two, meaning...

chaotic dynamics. Mathematics portal Systems science portal Examples of chaotic systems Advected contours Arnold's cat map Bifurcation theory Bouncing ball...

A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or...

Arakelov theory Asymptotic theory Automata theory Bass–Serre theory Bifurcation theory Braid theory Brill–Noether theory Catastrophe theory Category...

was created in 2017 after bifurcation from Lower Subansiri district. Kra Daadi district was created in 2015 after bifurcation from Kurung Kumey district...

period k has, at both ends, an interval of positive length across which bifurcation from a hyperbolic component of odd period k to a hyperbolic component...

systems at local points. Borges anticipated the development of bifurcation theory in mathematics, through "The Garden of Forking Paths" in 1941. In "Garden"...

high-contrast black-and-white reversal film. The title refers to the mathematical constant pi. The story focuses on a mathematician with an obsession to...

increasing rate Hopf bifurcation, in mathematics, a local bifurcation; when the first Lyapunov coefficient is negative, the bifurcation is called supercritical...

In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly...

In mathematics, the irrational numbers (in- + rational) are all the real numbers that are not rational numbers. That is, irrational numbers cannot be...

and often overlaps the lower part of the artery. Behind the angle of bifurcation of the common carotid artery is a reddish-brown oval body known as the...