Typically, one treats the slow variables as parameters of the fast subsystem and studies the bifurcation structure of this subsystem.
The bifurcation structure is not, however, linked to a particular circuit architecture.
"Control bifurcation structure of return map control in Chua's circuit," International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, vol.7, no.4, pp.903-909.
Although our model is based on ordinary differential equations, the daily dilution scheme imposes discreteness on the dynamics, and the observed bifurcation structure is analogous to that observed in coupled maps.
The stability analysis enables construction of a detailed bifurcation structure, which reveals coexisting stable periodic and aperiodic solutions.
Different types of excitable dynamics can occur depending on the bifurcation structure leading to the specific excitable phase-space topology.
Particular present projects concern, e.g., pattern deposition in dip-coating, the bifurcation structure behind depinning, the dynamics of solidification in colloidal suspensions, gradient dynamics models for film flows of complex liquids and the spreading of biofilms.
By separating these time scales and studying the bifurcation structure of the neuron, we catalog several qualitatively different bursting profiles that are strikingly similar to those seen in experimental preparations.
A detailed steady state and dynamic model for continuous emulsion polymerization reactors is analysed for bifurcation structure.
We show in particular how smooth (pitchfork and flip) bifurcations may form a macroscopic pattern that stretches across the overall bifurcation structure.
To study the effect of the flow channel bifurcation structure and dimensions on the flow distribution uniformity, numerical analysis was conducted.
