Ví dụ về pitchfork

• It is restricted to positive pitchforks (simply because its negative version is of no use).

• However, it is thus proved by the weakly nonlinear stability analysis that a supercritical pitchfork bifurcation occurs at the critical point.

• We derive an amplitude equation to account for the imperfect pitchfork bifurcation.

• There may of course be other factors which render the pitchfork bifurcation imperfect.

• The rather short length of the vortex is characteristic of the disturbance for symmetrybreaking pitchfork bifurcations.

• The pitchfork bifurcation in the symmetric problem is thereby disconnected.

• In this subspace there is a pitchfork bifurcation giving rise to narrow transverse rolls.

• The initial bifurcation (a pitchfork) gives rise to supercritical branches of diagonal rolls and small squares, of which only the latter are stable.

• Each pitchfork occurring in the design is the conclusion of a unique rule among those given below.

• The case 0 (1) > 0 is usually referred to as a subcritical pitchfork bifurcation, and the case 0 (1) < 0 as a supercritical pitchfork bifurcation.

• This stability is finally transferred to spatially modulated two-dimensional rolls in another pitchfork bifurcation.

• On the other hand, the amplitude equation (2.31) directly expresses the pitchfork bifurcation at the critical state.

• This is the so-called pitchfork bifurcation which determines the incidence of three-dimensional wave motions.

• Moreover, it does not fall into any pitchfork class known.

• Depending on the way we use them, pitchforks can be streamlike or anti-streamlike.