A robot system consists of autonomous mobile robots each of which repeats LookCompute-Move cycles, where the robot observes the positions of other robots (Look phase), computes the track to the next location (Compute phase), and moves along the track (Move phase). In this survey, we focus on self-organization of mobile robots, especially their power of forming patterns. The formation power of a...

FELDMAN, L. J . , and J. G. TORREY. 1975. The quiescent center and primary vascular tissue pattern formation in cultured roots of Zen. Can. J . Bot. 53: 2796-2803. Roots of Zea mays cv. Kelvedon 33 were cultured in nutrient media supplemented with varying concentrations of sucrose. In some instances an individual root was grown successively for periods of time in several different concentration...

We use concepts and tools from self-organization theory to analyze the dynamics of psychotherapy processes on an empirical basis. We focus on pattern formation in the therapy system, i.e. the system constituted by the interaction dynamics of therapist and patient. We hypothesize that during psychotherapy patterns tend to emerge in the therapeutic alliance. This hypothesis was tested based on da...

Naturally, deformed rocks commonly contain crack arrays (joints) forming patterns with systematic relationships to the large-scale deformation. Kinematically, joints can be mode-1, -2 or -3 or combinations of these, but there is no overarching theory for the development of the patterns. We develop a model motivated by dislocation pattern formation in metals. The problem is formulated in one dim...

We consider the use of reaction-diffusion equations to model biological pattern formation and describe the derivation of the reaction terms for several illustrative examples. After a brief discussion of the Turing instability in such systems we extend the model formulation to incorporate domain growth. Comparisons are drawn between solution behaviour on growing domains and recent results on sel...

We explore the possibility of controlling the pattern formation in a purely diffusive binary mixture described by a van der Waals equation of state in non-isothermal situations. Simulations are conducted with a previously formulated thermodynamically consistent smoothed particle hydrodynamics model for a phase separating mixture. We focus on the effect of the overall concentration of species in...

Weak coupling theory is applied to a model for firing waves in the procerebral lobe of the slug. Inhibitory synapses and electrical synapses have different synchronizing properties. We show that, in concert, these two types of coupling can cause a bifurcation to a patterned state from synchrony which ultimately develops into traveling waves. Normal forms for the bifurcation are computed, and th...

Yeasts can form multicellular patterns as they expand on agar plates, a phenotype that requires a functional copy of the FLO11 gene. Although the biochemical and molecular requirements for such patterns have been examined, the mechanisms underlying their formation are not entirely clear. Here we develop quantitative methods to accurately characterize the size, shape, and surface patterns of yea...

We extend the mechanism for noise-induced phase transitions proposed by Ibañes et al. [Phys. Rev. Lett. 87, 020601 (2001)] to pattern formation phenomena. In contrast with known mechanisms for pure noise-induced pattern formation, this mechanism is not driven by a short-time instability amplified by collective effects. The phenomenon is analyzed by means of a modulated mean field approximation ...

In this paper a connection between reaction-diffusion systems with small diffusion coefficients and the corresponding shorted systems (where diffusion is removed) is investigated. We obtain new sufficient conditions showing when solutions are completely defined by the corresponding shorted system and when, in contrast to this, pattern formation depends on diffusion. We call the two situations, ...