Compactons in strongly nonlinear lattices

• Antragsteller: Professor Dr. Arkady Pikovsky
• Fachliche Zuordnung: Statistische Physik, Nichtlineare Dynamik, Komplexe Systeme, Weiche und fluide Materie, Biologische Physik
• Förderung: Förderung von 2006 bis 2010
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 19760810

The goal of this project is the investigation of localized traveling objects - compactons - in strongly nonlinear lattices. Two particular examples - a chain of phase equations for coupled nonlinear oscillators and a one-dimensional chain of beads under Hertz contact - will be studied in details. We will find a traveling wave in a discrete lattice numerically and compare this solution with that of a quasi-continuum approximation.A perturbative approach for a nonideal lattices will be developed. Collisions of compactons, as well as the long-time properties like transition to chaos, will be investigated numerically.

• DFG-Verfahren: Sachbeihilfen