Results 41 to 50 of about 116,098 (200)
Pattern Dynamics in a Predator-Prey Model with Diffusion Network
Complexity, 2022 Diffusion plays an essential role in the distribution of predator and prey. We mainly research the diffusion network’s effect on the predator-prey model through bifurcation.
Wenjie Yang +3 more
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Hopf Bifurcation Analysis of a Diffusive Nutrient–Phytoplankton Model with Time Delay
Axioms, 2022 In this paper, we studied a nutrient–phytoplankton model with time delay and diffusion term. We studied the Turing instability, local stability, and the existence of Hopf bifurcation.
Ruizhi Yang, Liye Wang, Dan Jin
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Advances in Difference Equations, 2018 We study the pattern generating mechanism of a generalized Gierer–Meinhardt model with diffusions. We show the existence and stability of the Hopf bifurcation for the corresponding kinetic system under certain conditions.
Jinliang Wang, You Li, Xiaojie Hou
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Investigation of Turing structures formation under the influence of wave instability [PDF]
Компьютерные исследования и моделирование, 2019 A classical for nonlinear dynamics model, Brusselator, is considered, being augmented by addition of a third variable, which plays the role of a fast-diffusing inhibitor.
Maxim Borisovich Kuznetsov
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Illustrations from the Turing Way book dashes
, 2019 Illustrations created by Scriberia as part of the Turing Way book dashes in Manchester on 17 May 2019 and London on 28 May 2019. They depict a variety of content of the handbook as well as book sprint activities and the Turing Way community in general ...
The Turing Way Community (6945962) +3 more
core +1 more source
The Turing bifurcation in network systems: Collective patterns and single differentiated nodes [PDF]
, 2012 We study the emergence of patterns in a diffusively coupled network that undergoes a Turing instability. Our main focus is the emergence of stable solutions with a single differentiated node in systems with large and possibly irregular network topology ...
Wolfrum, Matthias
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Steady-state bifurcation of FHN-type oscillator on a square domain
Nonlinear Analysis, 2023 The Turing patterns of reaction-diffusion equations defined over a square region are more complex because of the D4-symmetry of the spatial region. This leads to the occurrence of multiple equivariant Turing bifurcations.
Chunrui Zhang +2 more
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Turing bifurcation in nonlinear competition models with delay [PDF]
Quarterly of Applied Mathematics, 1996 Turing instability in reaction-diffusion and predator-prey models including diffusion and Volterra-type distributed delays in the interspecies interaction terms is considered. For general functional forms of the reaction terms/prey birth rate-predator death rate, and delays modeled by the “weak” generic kernel
Choudhury, S. Roy, Fosser, C.
openaire +2 more sources
Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation
IEEE Access, 2019 Bifurcation is considered the main mathematical mechanism for the formation of spatial self-organizing patterns in many studies. When bifurcation was initially defined, only the transition of the system from stable state to unstable state or from uniform
Feifan Zhang +4 more
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Advanced Science, Volume 13, Issue 55, 5 October 2026.Complex microarchitectures emerge from simple flow‐driven transformations as static mixers iteratively reorient and split material domains. Coupled with diverse deposition strategies, chaotic printing provides an accessible platform for fabricating architected materials that support biologically and chemically relevant processes. ABSTRACT Nature builds
Edna Johana Bolívar‐Monsalve +7 more
wiley +1 more source