Phase-slip dynamics in one-dimensional distributed systems

1992 ◽  
Vol 45 (6) ◽  
pp. 4175-4177 ◽  
Author(s):  
Michael I. Tribelsky ◽  
Shoichi Kai ◽  
Hideki Yamazaki
Keyword(s):  
Distributed Systems ◽  
Phase Slip ◽  
One Dimensional

System Properties of One-Dimensional Distributed Systems

1977 ◽  
Vol 99 (2) ◽  
pp. 85-90 ◽  
Author(s):  
L. S. Bonderson
Keyword(s):  
Distributed Systems ◽  
Sufficient Conditions ◽  
State Variables ◽  
One Dimensional ◽  
First Order ◽  
Lumped Element ◽  
Order Form ◽  
Power Product ◽  
System Properties ◽  
Necessary And Sufficient

The system properties of passivity, losslessness, and reciprocity are defined and their necessary and sufficient conditions are derived for a class of linear one-dimensional multipower distributed systems. The utilization of power product pairs as state variables and the representation of the dynamics in first-order form allows results completely analogous to those for lumped-element systems.

scholarly journals Phase slip process and charge density wave dynamics in a one dimensional conductor

2017 ◽  
Vol 7 ◽  
pp. 3277-3280 ◽  
Author(s):  
N. Habiballah ◽  
M. Zouadi ◽  
A. Arbaoui ◽  
M. Qjani ◽  
J. Dumas
Keyword(s):  
Charge Density ◽  
Charge Density Wave ◽  
Density Wave ◽  
Phase Slip ◽  
One Dimensional ◽  
Wave Dynamics

Vector Bond Graphs Applied to One-Dimensional Distributed Systems

1975 ◽  
Vol 97 (1) ◽  
pp. 75-82 ◽  
Author(s):  
L. S. Bonderson
Keyword(s):  
Distributed Systems ◽  
Bond Graph ◽  
Bond Graphs ◽  
One Dimensional ◽  
Lumped Models ◽  
Multiple Power

Vector bond graph notation and conventions are presented which simplify the task of representing the multiple power bonds, transformations and junction structures of multiport systems. These ideas are shown to be particularly convenient in the reticulation of represntative microelements for a class of one-dimensional multipower distributed systems. The microelements are an aid in understanding the dynamics of distributed systems and may be used to construct approximate lumped models.

Optimum Control of Distributed-Parameter Systems

1964 ◽  
Vol 86 (1) ◽  
pp. 67-79 ◽  
Author(s):  
P. K. C. Wang ◽  
F. Tung
Keyword(s):  
Distributed Systems ◽  
Dynamical Systems ◽  
Maximum Principle ◽  
Distributed Parameter Systems ◽  
Distributed Parameter ◽  
Control Problems ◽  
Optimum Control ◽  
Linear Diffusion ◽  
One Dimensional ◽  
Controllability And Observability

This paper presents a general discussion of the optimum control of distributed-parameter dynamical systems. The main areas of discussion are: (a) The mathematical description of distributed parameter systems, (b) the controllability and observability of these systems, (c) the formulation of optimum control problems and the derivation of a maximum principle for a particular class of systems, and (d) the problems associated with approximating distributed systems by discretization. In order to illustrate the applicability of certain general results and manifest some of the properties which are intrinsic to distributed systems, specific results are obtained for a simple, one-dimensional, linear-diffusion process.

Antisymmetry breaking of discrete dipole gap solitons induced by a phase-slip defect

2014 ◽  
Vol 28 (12) ◽  
pp. 1450097 ◽  
Author(s):  
Xiangyu Zhang ◽  
Jinglei Chai ◽  
Dezhao Ou ◽  
Yongyao Li
Keyword(s):  
Symmetry Breaking ◽  
Optical Lattice ◽  
Einstein Condensate ◽  
Phase Slip ◽  
One Dimensional ◽  
Waveguide Arrays ◽  
Bose Einstein Condensate ◽  
First Excited State ◽  
Bose Einstein ◽  
Dipole Soliton

In this paper, we study the antisymmetry breaking of discrete dipole soliton induced by a phase-slip one-dimensional discrete lattice, which contains on-site self-repulsive nonlinearity. This system can be realized in waveguide arrays system in optics or Bose–Einstein condensate in optical lattice. Different from the symmetry breaking occurring in the ground-state, antisymmetry breaking occurs in the first excited state, which contains antisymmetry. For this system, stable antisymmetric dipole soliton and anti-asymmetric are found, the symmetry transition between them is supercritical type. It is found that, increasing the total norm of the soliton or decreasing the coupled strength of the defect waveguide can lead to the antisymmetry breaking. Such kind of symmetry breaking can lead to the change of the tendency of some characters of the soliton.

An aggregation model reduction method for one-dimensional distributed systems

AIChE Journal ◽  
2011 ◽  
Vol 58 (5) ◽  
pp. 1524-1537 ◽  
Author(s):  
Andreas Linhart ◽  
Sigurd Skogestad
Keyword(s):  
Distributed Systems ◽  
Model Reduction ◽  
Reduction Method ◽  
Aggregation Model ◽  
One Dimensional
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