Periodic, quasiperiodic, and chaotic breathers in two-dimensional discrete β-Fermi-Pasta-Ulam lattice

doi:10.1088/1674-1056/22/8/086302

Abstract Using numerical method, we investigate whether periodic, quasiperiodic, and chaotic breathers are supported by the two-dimensional discrete Fermi-Pasta-Ulam (FPU) lattice with linear dispersion term. The spatial profile and time evolution of the two-dimensional discrete β-FPU lattice are segregated by the method of separation of variables, and the numerical simulations suggest that the discrete breathers (DBs) are supported by the system. By introducing a periodic interaction into the linear interaction between the atoms, we achieve the coupling of two incommensurate frequencies for a single DB, and the numerical simulations suggest that the quasiperiodic and chaotic breathers are supported by the system, too.

Keywords: breather quasiperiodic breather chaotic breather

Received: 20 December 2012
Revised: 29 January 2013
Accepted manuscript online:

PACS:	63.20.Ry	(Anharmonic lattice modes)
	63.20.Pw	(Localized modes)
	05.50.+q	(Lattice theory and statistics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11247255) and the Natural Science Foundation of Heilongjiang Province, China (Grant No. A200506).

Corresponding Authors: Xu Quan
E-mail: quanx2008@yeah.net

Cite this article:

Xu Quan (徐权), Tian Qiang (田强) Periodic, quasiperiodic, and chaotic breathers in two-dimensional discrete β-Fermi-Pasta-Ulam lattice 2013 Chin. Phys. B 22 086302

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Periodic, quasiperiodic, and chaotic breathers in two-dimensional discrete β-Fermi-Pasta-Ulam lattice

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