Results 61 to 70 of about 116,050 (251)
Most stable patterns among three-dimensional Turing patterns [PDF]
Japan Journal of Industrial and Applied Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shoji, Hiroto, Yamada, Kohtaro
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Pattern formation of a Schnakenberg-type plant root hair initiation model
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper concentrates on the diversity of patterns in a quite general Schnakenberg-type model. We discuss existence and nonexistence of nonconstant positive steady state solutions as well as their bounds.
Yanqiu Li, Juncheng Jiang
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Nonlinear Analysis, 2021 In this paper, we consider the dynamics of delayed Gierer–Meinhardt system, which is used as a classic example to explain the mechanism of pattern formation. The conditions for the occurrence of Turing, Hopf and Turing–Hopf bifurcation are established by
Shuangrui Zhao +2 more
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Advanced Materials, EarlyView.A green, freeform manufacturing approach that utilizes robust aqueous two‐phase systems to create intricate and scalable photonic structures and non‐planar mechanochromic hydrogel actuators from plant‐based hydroxypropyl cellulose. This approach broadens the structural possibilities of sustainable photonic devices and mechanochromic systems, offering ...
Xiao Song +14 more
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Concentric ring patterns beyond Turing instability
Physical Review Research, 2023 Various out-of-equilibrium physical systems exhibit concentric ring patterns. However, these patterns are expected to be unstable due to the interaction of spatial modes.
M. G. Clerc +3 more
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Pattern Formation in Non‐Equilibrium Architected Materials
Advanced Materials Technologies, EarlyView.This article demonstrates an artificial mechanical system ‐ a robotic metamaterial ‐ as an accessible and versatile platform within which to explore and prescribe the reaction‐diffusion driven pattern formation hitherto associated with comparatively less accessible and versatile non‐equilibrium biological and chemical systems.
Vinod Ramakrishnan, Michael J. Frazier
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Fabric‐Based Wearable Robotic Exoskeleton Gloves: Advancements and Challenges
Advanced Materials Technologies, EarlyView.This review highlights interdisciplinary technological advances in fabric‐based robotic gloves, focusing on progress in design, fabrication, actuation, sensing, control, and power and energy requirements. It also addresses performance testing and validation, including biomechanical, strength, functional, user experience, and durability assessments, to ...
Ayse Feyza Yilmaz +2 more
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Pattern formation (II): The Turing Instability [PDF]
Proceedings of the American Mathematical Society, 2007 We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the Turing instability is determined by the finite number of linear growing modes over a time scale of ln 1 δ
Guo, Y, Hwang, HJ
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Front and Turing patterns induced by Mexican-hat-like nonlocal feedback
, 2015 We consider the effects of a Mexican-hat-shaped nonlocal spatial coupling, i.e., symmetric long-range inhibition superimposed with short-range excitation, upon front propagation in a model of a bistable reaction-diffusion system.
Schöll, Eckehard, Siebert, Julien
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Labyrinthine Turing Pattern Formation in the Cerebral Cortex [PDF]
, 2002 I propose that the labyrinthine patterns of the cortices of mammalian brains may be formed by a Turing instability of interacting axonal guidance species acting together with the mechanical strain imposed by the interconnecting axons.Comment: See home ...
BAIER +41 more
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