Results 51 to 60 of about 2,929 (211)
Turing instabilities and patterns near a Hopf bifurcation [PDF]
Applied Mathematics and Computation, 2005 27 pages, 5 ...
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The Diffusion-Driven Instability for a General Time-Space Discrete Host-Parasitoid Model
Discrete Dynamics in Nature and Society, 2023 In this paper, we consider a general time-space discrete host-parasitoid model with the periodic boundary conditions. We analyzed and obtained some usual conditions, such as Turing instability occurrence, Flip bifurcation occurrence, and Neimark-Sacker ...
Xuetian Zhang, Chunrui Zhang
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Carbon Energy, EarlyView.This study, for the first time, constructs photostructured dynamic frustrated Lewis pairs (DFLPs) via a p‐p orbital hybridization regulation strategy, achieving the 100% reduction of low‐concentration CO₂ to CO and breaking the stability‐activity trade‐off.
Xiao‐hong Wang +6 more
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Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion
Discrete Dynamics in Nature and Society, 2013 We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
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Mass Transport Mechanisms in 2D Laminar Nanofluidic Membranes for Separation and Energy Conversion
Carbon Innovation, EarlyView.This review explores how two‐dimensional laminar membranes govern the transport of ions and molecules in confinement for advanced separation and energy conversion. By discussing how nanochannel architecture shapes membrane performance, this work highlights cation intercalation and functional modifications to improve osmotic energy harvesting ...
Adhy Prihatmiko Wibowo +3 more
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Transverse instabilities in chemical Turing patterns of stripes [PDF]
Physical Review E, 2003 We present a theoretical and experimental study of the sideband instabilities in Turing patterns of stripes. We compare numerical computations of the Brusselator model with experiments in a chlorine dioxide-iodine-malonic acid (CDIMA) reaction in a thin gel layer reactor in contact with a continuously refreshed reservoir of reagents.
B, Peña +4 more
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Turing Patterns in a Predator-Prey System with Self-Diffusion
Abstract and Applied Analysis, 2013 For a predator-prey system, cross-diffusion has been confirmed to emerge Turing patterns. However, in the real world, the tendency for prey and predators moving along the direction of lower density of their own species, called self-diffusion, should be ...
Hongwei Yin, Xiaoyong Xiao, Xiaoqing Wen
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Predator–prey pattern formation driven by population diffusion based on Moore neighborhood structure
Advances in Difference Equations, 2019 Diffusion-driven instability is a basic nonlinear mechanism for pattern formation. Therefore, the way of population diffusion may play a determinative role in the spatiotemporal dynamics of biological systems. In this research, we launch an investigation
Tousheng Huang +6 more
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Journal of the Chinese Chemical Society, EarlyView.The conventional “local activation–global inhibition” (LAGI) models utilize mean‐field averaging inhibition to suppress distant activations. As the inhibition diminishes with distance, LAGI models struggle to achieve robust single‐axis polarity in large systems.
Chin‐Lin Guo, Chiao‐Yu Tseng
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Turing Instability and Pattern Formation on Directed Networks
SSRN Electronic Journal, 2022 Pattern formation, arising from systems of autonomous reaction-diffusion equations, on networks has become a common topic of study in the scientific literature. In this work we focus primarily on directed networks. Although some work prior has been done to understand how patterns arise on directed networks, these works have restricted their attentions ...
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