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2019
The Pattern Formation problem is one of the most important coordination problem for robotic systems. Initially the entities are in arbitrary positions; within finite time they must arrange themselves in the space so to form a pattern given in input. In this chapter, we will mainly deal with the problem in the OBLOT model.
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The Pattern Formation problem is one of the most important coordination problem for robotic systems. Initially the entities are in arbitrary positions; within finite time they must arrange themselves in the space so to form a pattern given in input. In this chapter, we will mainly deal with the problem in the OBLOT model.
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1999
Publisher Summary This chapter focuses on the concept of optical pattern formation. The field of optical pattern formation (OPF) studies the spatial and spatiotemporal phenomena that arise in the structure of electromagnetic field in the planes orthogonal with respect to the direction of propagation.
Lugiato, L. A., Brambilla, M., Gatti, A.
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Publisher Summary This chapter focuses on the concept of optical pattern formation. The field of optical pattern formation (OPF) studies the spatial and spatiotemporal phenomena that arise in the structure of electromagnetic field in the planes orthogonal with respect to the direction of propagation.
Lugiato, L. A., Brambilla, M., Gatti, A.
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Nature, 1995
As participants at Nature's conference "Patterns of Life" (Boston, 9–10 November) found, moves to different organisms and even to biochemistry are helping to sustain the drive to understand how different body plans develop.
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As participants at Nature's conference "Patterns of Life" (Boston, 9–10 November) found, moves to different organisms and even to biochemistry are helping to sustain the drive to understand how different body plans develop.
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Advances in Applied Probability, 1980
A uniform distribution of histidine auxotrophic Salmonella Typhimurium on an agar gel exhibits a spatial pattern of growth in responsto a diffusing front of histidine. We formulate a mathematical model of this system which describes the histidine concentration (H(r,t)) at radius r and time t in a petri dish, the concentration of the growth medium’s ...
F. C. Hoppensteadt, W. Jäger
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A uniform distribution of histidine auxotrophic Salmonella Typhimurium on an agar gel exhibits a spatial pattern of growth in responsto a diffusing front of histidine. We formulate a mathematical model of this system which describes the histidine concentration (H(r,t)) at radius r and time t in a petri dish, the concentration of the growth medium’s ...
F. C. Hoppensteadt, W. Jäger
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Parametrically forced pattern formation
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2001Pattern formation in a nonlinear damped Mathieu-type partial differential equation defined on one space variable is analyzed. A bifurcation analysis of an averaged equation is performed and compared to full numerical simulations. Parametric resonance leads to periodically varying patterns whose spatial structure is determined by amplitude and detuning ...
Armbruster, Dieter +2 more
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Somite formation and patterning
2000As a consequence of their segmented arrangement and the diversity of their tissue derivatives, somites are key elements in the establishment of the metameric body plan in vertebrates. This article aims to largely review what is known about somite development, from the initial stages of somite formation through the process of somite regionalization ...
Hirsinger, Estelle +3 more
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2006
From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena has been a focus of recent research activity across several disciplines.
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From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena has been a focus of recent research activity across several disciplines.
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1980
Over the last few decades, studies of pattern formation in Drosophila imaginal discs have been proceeding along two rather separate lines. One line of research includes the studies initiated by Vogt, Bodenstein and the Hadorn group on the experimental embryology of imaginal discs, where the ability of disc fragments to grow, to regenerate, and to ...
P J, Bryant, J R, Girton
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Over the last few decades, studies of pattern formation in Drosophila imaginal discs have been proceeding along two rather separate lines. One line of research includes the studies initiated by Vogt, Bodenstein and the Hadorn group on the experimental embryology of imaginal discs, where the ability of disc fragments to grow, to regenerate, and to ...
P J, Bryant, J R, Girton
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Genetica, 1970
Experiments were designed to test the validity ofTuring's suggested pattern-forming mechanisms, which are initially capable of giving rise to only five to seven uniform structures.
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Experiments were designed to test the validity ofTuring's suggested pattern-forming mechanisms, which are initially capable of giving rise to only five to seven uniform structures.
openaire +2 more sources