Results 61 to 70 of about 115,920 (230)
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
wiley +1 more source
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
doaj +1 more source
IEEE Access, 2021 Great progress has been made in bifurcation control of systems described by ordinary differential equations. However, the control of Hopf bifurcation and Turing patterns is seldom reported in reaction-diffusion systems, which is formed by partial ...
Yunxiang Lu +6 more
doaj +1 more source
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
openaire +3 more sources
Information Transmission Strategies for Self‐Organized Robotic Aggregation
Advanced Robotics Research, EarlyView.In this review, we discuss how information transmission influences the neighbor‐based self‐organized aggregation of swarm robots. We focus specifically on local interactions regarding information transfer and categorize previous studies based on the functions of the information exchanged.
Shu Leng +5 more
wiley +1 more source
Turing patterns in a networked vegetation model
Mathematical Biosciences and EngineeringA vegetation model composed of water and plants was proposed by introducing a weighted graph Laplacian operator into the reaction-diffusion dynamics. We showed the global existence and uniqueness of the solution via monotone iterative sequence.
Xiaomei Bao, Canrong Tian
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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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Robotic Materials With Bioinspired Microstructures for High Sensitivity and Fast Actuation
Advanced Science, EarlyView.In the review paper, design rationale and approaches for bioinspired sensors and actuators in robotics applications are presented. These bioinspired microstructure strategies implemented in both can improve the performance in several ways. Also, recent ideas and innovations that embed robotic materials with logic and computation with it are part of the
Sakshi Sakshi +4 more
wiley +1 more source
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
doaj +1 more source
Scaling and regeneration of self-organized patterns [PDF]
, 2015 Biological patterns generated during development and regeneration often scale with organism size. Some organisms, e.g., flatworms, can regenerate a rescaled body plan from tissue fragments of varying sizes.
Amigo, Manuel Beirán +5 more
core +2 more sources