Is there a name for this type of plot? (function on complex plane vs time shown in 3D) I'm just looking for a name for this type of plot, which is time vs real part vs imaginary part shown as a space curve.
Complex exponential:

Used to explain chirplets:

Complex Morlet wavelet shown this way:

instead of being shown as two plots:


the original 1998 source of which just calls them "complex analytical vibration signatures".
 A: A possible name  is the Heyser corkscrew or the generalized Heyser spiral, at least for cisoids. It appears for instance in The Analytic Impulse, Andrew Duncan,  JAES Volume 36 Issue 5 pp. 315-327; May 1988. 

A complex analytic function is to its real part as a solid object is
  to its shadow. the analytic impulse $\Delta(t)$ is a complex
  "function" whose real part is the familiar Dirac symbol $\delta(t)$.
  This impulse finds application in energy-time calculations. The nature
  of this impulse and its application to finding energy-time curves are
  examined in the continuous, $z$-transform, and DFT domains. A simple
  window is also discussed which leads to a smoother impulse
  $\tilde{\Delta}(t)$

It seems fairly general:

In a Heyser corkscrew this magnitude appears as the radial distance of
  the central figure to the time

with a display of the Heyser corkscrew plot of asinc(t)

However, as asked in the SE.DSP question 3D wiggle plot for an analytic signal: Heyser corkscrew/spiral, I did not find a lot of authoritative traces so far.
