Time delay in the one-dimensional swarmalator model.
basic_science · Level V
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- Record sourced from PubMed, PMID 42316591.
- Also identified by DOI 10.1103/yrxm-ryxb.
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Abstract
We study the one-dimensional (1D) swarmalator model with time-delayed interactions. Delay preserves the familiar static states-sync, async, and phase wave-but generates two new families of nonstatic states. One bifurcates from the phase wave at τ=τ_{c}(J,K); the other bifurcates from the async state at K_{c}=-π/τ and includes a limit cycle, an irregular unsteady regime, and a partially synchronized state. We derive both bifurcation boundaries analytically. A surprising result is that the stability of the sync state is independent of τ; it depends only on the coupling strength.