Results 41 to 50 of about 6,879 (234)
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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Turing patterns with pentagonal symmetry
Physical Review E, 2002 We explore numerically the formation of Turing patterns in a confined circular domain with small aspect ratio. Our results show that stable fivefold patterns are formed over a well defined range of disk sizes, offering a possible mechanism for inducing the fivefold symmetry observed in early development of regular echinoids.
Aragón, J +4 more
openaire +2 more sources
Chemically Fueled Systems Chemistry Across Length Scales
Advanced Functional Materials, EarlyView.Chemically fueled reaction cycles regulate processes through single and multiple catalytic sites on the molecular and assembly scale. This gives rise to unique kinetically controlled properties/functions like spatio‐temporal catalysis, oscillations, optical properties, and perform work.
Brigitte A. K. Kriebisch, Job Boekhoven
wiley +1 more source
Complexity, 2019 The topic of utilizing coupled map lattice to investigate complex spatiotemporal dynamics has attracted a lot of interest. For exploring the spatiotemporal complexity of a predator-prey system with migration and diffusion, a new three-chain coupled map ...
Tousheng Huang +5 more
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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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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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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
Cross-diffusion induced Turing and non-Turing patterns in Rosenzweig–MacArthur model
Letters in Biomathematics, 2019 Pattern formation is widely studied in spatio-temporal prey– predator models with only self-diffusion terms. Models with cross-diffusion, besides self-diffusion, take care of the situation in which presence, absence, abundance or scarcity of one species ...
Nayana Mukherjee +2 more
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Advanced Science, EarlyView.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
Turing pattern dynamics in a fractional-diffusion oregonator model under PD control
Nonlinear AnalysisIn this paper, fractional-order diffusion and proportional-derivative (PD) control are introduced in oregonator model, and the Turing pattern dynamics is investigated for the first time.
Hongliang Li +4 more
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