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We investigate the chaotic spin-down behavior seen from some pulsars in termsof the nonlinear superfluid dynamics. To this end, we numerically solve the setof equations for the superfluid-normal matter system whose coupling is mediatedby creep of the vortex lines. We show that glitch perturbations which introducea time-delay to the steady-state dynamics leave behind a remnant in the thirdtime derivative of the rotational phase. This time-delay induces ahyper-chaotic spin-down for pulsars. We find that glitch-induced changes in therotational parameters lead to non-closing cyclic patterns in the time-delayedphase difference diagram. We observe that the number of cycles, $N$, in thediagram results from $N+1$ glitches occurred in total observation time.

Nonlinear superfluidity and time-delay based chaotic spin-down in pulsars