Asymmetric time delay in 1D swarmalators expands the active π state region in the phase diagram while shrinking other ordered states, in contrast to symmetric delay models.
(62) The stability condition for modek= 2 without delay is therefore J+K >0 andJ K <0.(63) Caseτ >0: Hopf bifurcation.We seek a purely imagi- nary eigenvalueλ=ιω,ω >0
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The role of asymmetric time delay and its structure in 1D swarmalators
Asymmetric time delay in 1D swarmalators expands the active π state region in the phase diagram while shrinking other ordered states, in contrast to symmetric delay models.