A closer look at the bifurcation diagram of type II excitability in Fig. 1 reveals that shortly after the Andronov Hopf bifurcation the amplitude of the bifurcating limit cycles explodes dramatically under a very tiny (an exponentially small) parameter change.
This type of phase transition is a supercritical pitchfork bifurcation: The system first monotonically increases and then bifurcates into a bistable phase characterized by opposing G1 and G2 levels.
Over a relatively short time, we've witnessed a historic bifurcation: the upper middle class agonizes over how to make time for leisure and children in two-income families.
Beyond this North-South bifurcation, the earliest paintings here also reflect the extraordinary variety of artistic heritages Bearden was exposed to as a young man.
Thus an odd but inviting bifurcation: the outer movements are an explosive Vocalise (named for the flute line, which is partly sung through the instrument), representing the creation of the universe, and a sublimely meditative Messiaenesque Nocturne, suggesting the universe's eventual decay.
Over the years Avner underwent a series of operations to alter his appearance, including bifurcation (the splitting of his upper lip), surgical ear pointing, silicone cheek and forehead implants, tooth sharpening and facial tattoos and piercings.
Following this bifurcation, the folded singularity is a folded node.
Some interesting nonlinear phenomena are displayed, such as the period-doubling bifurcation, the cyclic-fold bifurcation, the period remerging, the period bubbling and chaos.
Attention has also be paid to various bifurcations of the discrete epidemic models, the equilibrium bifurcation [3, 21, 24 26], the transcritical bifurcation, the flip bifurcation, the saddle-node bifurcation, the Hopf bifurcation, and the bifurcation to chaos [3 5].
Because of such kind of kinematic bifurcation, the structure might not transform into the desired configuration.
In the neighbourhood of this global bifurcation the firing frequency scales like (sqrt{I-I_{c}}).
