Search Results - subject:"Pattern Formation"

Long-range interacting solitons: pattern formation and nonextensive thermostatistics

Guerrero, L.E.; González, J.A. - In: Physica A: Statistical Mechanics and its Applications 257 (1998) 1, pp. 390-394

The nonlinear Klein–Gordon equation with a different potential that satisfies the degeneracy properties discussed in this paper possesses solitonic solutions that interact with long-range forces. We generalize the Ginzburg–Landau equation in such a way that the topological defects supported...

Persistent link: https://www.econbiz.de/10011058823

Hierarchical pattern formation

Or-Guil, Michal; Bär, Markus; Bode, Mathias - In: Physica A: Statistical Mechanics and its Applications 257 (1998) 1, pp. 470-476

We consider a hierarchical set of dynamical systems, each of which may support individual pattern formation processes …

Persistent link: https://www.econbiz.de/10011061397

Fluid circulation and solute distribution in a binary fluid mixture: Self-organization under osmosedimentation

Neto, C. Rodrigues; Tenan, M.A. - In: Physica A: Statistical Mechanics and its Applications 257 (1998) 1, pp. 536-541

for understanding pattern formation in systems investigated in the laboratory. …

Persistent link: https://www.econbiz.de/10010599515

Cellular automata approach to pattern formation in reaction-diffusion systems

Droz, Michel - In: Physica A: Statistical Mechanics and its Applications 240 (1997) 1, pp. 239-245

The dynamics of reaction-diffusion systems in low dimensions is often driven by fluctuations and a simple-minded description in terms of rate equations is not sufficient. Moreover, the emergence of complex patterns in such systems can involve simultaneously several new mechanisms as, for...

Persistent link: https://www.econbiz.de/10010873689

From Classical Models of Morphogenesis to Agent-Based Models of Pattern Formation

Bonabeau, Eric - Santa Fe Institute - 1997

An extremely large body of theoretical work exists on pattern formation, but vey few experimental results have … confirmed the relevance of theoretical models. It is argued in this paper that the notion of agent-based pattern formation …, which is introduced and examplified, can serve as a basis to study pattern formation in nature, especially because pattern …

Persistent link: https://www.econbiz.de/10005790859

Consumption, supply and transport: Self-organization without direct communication

Kessler, John O. - In: Mathematics and Computers in Simulation (MATCOM) 40 (1996) 3, pp. 359-370

Swimming bacteria of the species Bacillus subtilis require and consume oxygen. In static liquid cultures the cells' swimming behaviour leads them to accumulate up oxygen concentration gradients generated by consumption and supply. Since the density of bacterial cells exceeds that of the fluid in...

Persistent link: https://www.econbiz.de/10010749603