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

period-doubling (or flip) bifurcation, and otherwise, it is a Hopf bifurcation. Examples of local bifurcations include: Saddle-node (fold) bifurcation Transcritical...

behaves like a saddle-node bifurcation; in other words, the imperfect transcritical bifurcation can be approximated by two saddle-node bifurcations when close...

codimension-one bifurcations occur nearby: a saddle-node bifurcation, an Andronov–Hopf bifurcation and a homoclinic bifurcation. All associated bifurcation curves...

to see bistability captured by a saddle-node bifurcation diagram and the hysteresis behaviours when the bifurcation parameter is increased or decreased...

correspond to the approach to a saddle-node bifurcation, a subcritical Hopf bifurcation, or an inverse period-doubling bifurcation. In the apparently periodic...

environment, the only bifurcation that remains intact is saddle-node bifurcation. Saddle-node bifurcation does not break down (saddle-node is the expected generic...

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...

environment, the only bifurcation that remains intact is saddle-node bifurcation. Saddle-node bifurcation does not break down (saddle-node is the expected generic...

effect – Increasing value with increasing participation Saddle-node bifurcation – Local bifurcation in which two fixed points of a dynamical system collide...

the saddle-node bifurcation or limit point; the supercritical or stable-symmetric bifurcation; the subcritical or unstable-symmetric bifurcation; and...

fixed points (stable one and unstable one) merge and disappear by saddle-node bifurcation. Coupling of two neurons has been investigated by Irina Bashkirtseva...

{\displaystyle b=2.0} , a homoclinic bifurcation event occurs around I e x t = 5.393 {\displaystyle I_{ext}=5.393} . Before the bifurcation, the stable manifold converges...

point. Another type of singular point is a turning point bifurcation, or saddle-node bifurcation, where the direction of the parameter λ {\displaystyle...

the system switches from bistable to monostable is called the saddle node bifurcation. So, we can understand the all-or-nothing, irreversible response...

capable of a single saddle-node bifurcation and can be shown to be the "normal form for the saddle-node on a limit cycle bifurcation." When ( I < 0 ) {\displaystyle...

Felix X. -F.; Qian, Hong; Huang, Sui (2019-08-01). "Time-dependent saddle–node bifurcation: Breaking time and the point of no return in a non-autonomous model...

handle the large number of variables and parameters is called a bifurcation diagram (bifurcation theory): the presence of these special steady-state points...

singular points of differential equations. he mentioned: the node (les noeuds), the saddle (les cols), the focus (les foyers) and the center (les centers)...

system. These two bifurcations may take many forms and the choice of bifurcation both from quiescent to bursting and bursting to quiescent can affect...

to mathematical modelling. Center manifolds play an important role in bifurcation theory because interesting behavior takes place on the center manifold...

pass in the vicinity of as many saddle points, or nodes, as possible. When the trajectory reached the vicinity of a saddle point, a decision-making function...

Ljung (1999). System identification : theory for the user (2nd ed.). Upper Saddle River, NJ: Prentice Hall PTR. ISBN 978-0136566953. OCLC 38884169. Schön...

ISBN 978-0-486-46290-5. Bigoni, D. (2012). Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability. Cambridge University Press. ISBN 978-1-107-02541-7...

In the following sample of his writing, Watson references Manhattan's bifurcation into industrial specialties. Reflecting an Immersionist sensibility,...

curves in the plane, gave a classification of singular points (saddle, focus, center, node), introduced the concept of a limit cycle and the loop index...

concave and anteriorly convex. heterocoelous (noun: heterocoely) centra are saddle-shaped at both ends. Amphicoely is the primitive condition tetrapods. In...