Structural properties of kinks and domain walls in nonlinear oscillatory lattices
Authors
Denardo, Bruce
Wright, William B.
Subjects
Advisors
Date of Issue
1995-07
Date
Publisher
American Physical Society
Language
Abstract
Structural properties of self-localized steady-state modes in damped parametrically driven lattices
have been numerically observed. The states are kinks, which are localized regions between two
standing wave domains of the same wave number with an offset in spatial phase; and domain walls,
which are localized regions between two standing wave domains of different wave numbers. The
properties include preferred definite symmetry, a wide variety of distinct states, and hysteretic
transitions that occur along boundaries in the plane of the drive parameters (amplitude and
frequency). The transitions of the localĀized states exhibit the spontaneous processes of
symmetry reversal and "complexification," as well as the onset of quasiperiodicity and chaos.
Simple plausible models based upon few degrees of freedom fail to correctly describe the
instabilities, which indicates that the behavior is a collective phenomenon.
Type
Article
Description
Series/Report No
Department
Physics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Work supported in part by the Office of Naval Research and the Office of Basic Energy Science, Department of Energy
Funder
Format
11 p.
Citation
Physical Review E, v.52, no.1, July 1995, pp. 1094-1104
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.