Synchronized bifurcation and stability in a ring of diffusively coupled neurons with time delay

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class="label">•: This type of architecture for a ring of diffusively coupled neurons is new.
class="label">•: Regard class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0893608015002580&_mathId=si2.gif&_user=111111111&_pii=S0893608015002580&_rdoc=1&_issn=08936080&md5=e269e5eeeeb5d47b247c7b79a02d756d" title="Click to view the MathML source">τclass="mathContainer hidden">class="mathCode"> $τ$ and class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0893608015002580&_mathId=si5.gif&_user=111111111&_pii=S0893608015002580&_rdoc=1&_issn=08936080&md5=f70825aae9ece2fc828196a350d4a654" title="Click to view the MathML source">βclass="mathContainer hidden">class="mathCode"> $β$ as two parameters in analyzing the synchronized dynamics of partial–differential equation (PDE) system.
class="label">•: Diffusion may make the ring system synchronous.
class="label">•: Diffusion to a stable delay-differential equation (DDE) system may make it unstable.
class="label">•: The coexistence of bifurcating periodic solutions and bistability or instability and bistability.

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