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Traveling Pulses in a Nonlocal Equation Arising Near ...
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由 X Chen 著作2017被引用 4 次 — We prove the existence of unique traveling waves for the corresponding nonlocal evolution problem with a new tool that does not use the comparison principle. We ...
TRAVELING PULSES IN A NONLOCAL EQUATION ARISING ...
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We first derive the equation that we will study from a formal expansion for a spatially coupled system near a saddle-node infinite cycle (SNIC) bifurcation for ...
Traveling Pulses in a Nonlocal Equation Arising Near a Saddle ...
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Abstract. We formally derive a simple normal form for the dynamics of a nonlocally coupled neural field model when the local dynamics is near a saddle-node ...
Traveling Pulses in a Nonlocal Equation Arising Near a ...
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由 X Chen 著作2017被引用 4 次 — We prove the existence of unique traveling waves for the corresponding nonlocal evolution problem with a new tool that does not use the comparison principle.
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TRAVELING PULSES IN A NONLOCAL EQUATION ARISING ... near a saddle-node infinite cycle (SNIC) bifurcation. ... behavior near the saddle node bounded for all 6.
SIAM Journal on Applied Mathematics - ACM Digital Library
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We formally derive a simple normal form for the dynamics of a nonlocally coupled neural field model when the local dynamics is near a saddle-node infinite cycle ...
Traveling waves in non-local pulse-coupled networks
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This work shows that long waves are stable while short waves are unstable and extends the results to smooth pulse-like coupling by reducing the nonlocal ...
Xinfu Chen
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2024年4月25日 — Traveling Pulses in a Nonlocal Equation Arising Near a Saddle-Node Infinite Cycle Bifurcation. SIAM J. Appl. Math. 77(4): 1204-1229 (2017).
Vol. 77, No. 4, 2017 of SIAM Journal on Applied ...
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TRAVELING PULSES IN A NONLOCAL EQUATION ARISING NEAR A SADDLE-NODE INFINITE CYCLE BIFURCATION · TRAVELING PULSES IN A NONLOCAL EQUATION ARISING NEAR A SADDLE ...
Traveling waves in non-local pulse-coupled networks
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2021年2月11日 — We find several types of instability (bifurcations) that lead to the loss of waves and subsequent pattern formation. We approximate the smooth ...
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