scholarly journals Frequency Dependence of Quantum Localization in a Periodically Driven System

2002 ◽  
Vol 145 ◽  
pp. 290-293
Author(s):  
Manabu Machida ◽  
Keiji Saito ◽  
Seiji Miyashita
Keyword(s):  
Frequency Dependence ◽  
Periodically Driven ◽  
Driven System ◽  
Quantum Localization

scholarly journals Frequency Dependence of Quantum Localization in a Periodically Driven System

2003 ◽  
Vol 72 (Suppl.C) ◽  
pp. 109-110 ◽  
Author(s):  
Manabu Machida ◽  
Keiji Saito ◽  
Seiji Miyashita
Keyword(s):  
Frequency Dependence ◽  
Periodically Driven ◽  
Driven System ◽  
Quantum Localization

scholarly journals Frequency Dependence of Quantum Localization in a Periodically Driven System

2002 ◽  
Vol 71 (10) ◽  
pp. 2427-2433 ◽  
Author(s):  
Manabu Machida ◽  
Keiji Saito ◽  
Seiji Miyashita
Keyword(s):  
Frequency Dependence ◽  
Periodically Driven ◽  
Driven System ◽  
Quantum Localization

Chaotic Dynamical Systems as Automata

1987 ◽  
Vol 42 (6) ◽  
pp. 547-555 ◽  
Author(s):  
Joseph L. McCauley
Keyword(s):  
Dynamical Systems ◽  
Cellular Automata ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Finite Length ◽  
Discrete Maps ◽  
Chaotic Dynamical Systems ◽  
Periodically Driven ◽  
Driven System

We discuss the replacement of discrete maps by automata, algorithms for the transformation of finite length digit strings into other finite length digit strings, and then discuss what it required in order to replace chaotic phase flows that are generated by ordinary differential equations by automata without introducing unknown and uncontrollable errors. That question arises naturally in the discretization of chaotic differential equations for the purpose of computation. We discuss as examples an autonomous and a periodically driven system, and a possible connection with cellular automata is also discussed. Qualitatively, our considerations are equivalent to asking when can the solution of a chaotic set of equations be regarded as a machine, or a model of a machine.

Time scales and efficiency of resonant absorption in periodically driven resistive plasmas

1992 ◽  
Vol 47 (1) ◽  
pp. 139-162 ◽  
Author(s):  
Stefaan Poedts ◽  
Wolfgang Kerner
Keyword(s):  
Time Scales ◽  
Temporal Evolution ◽  
Plasma Heating ◽  
External Source ◽  
Resonant Absorption ◽  
Alfven Wave ◽  
Driving Frequency ◽  
Vacuum Region ◽  
Periodically Driven ◽  
Driven System

The time scales and efficiency of plasma heating by resonant absorption of Alfvén waves are studied in the framework of linearized compressible and resistive magnetohydrodynamics. The configuration considered consists of a straight cylindrical axisymmetric plasma column surrounded by a vacuum region and a perfectly conducting shell. The plasma is excited periodically by an external source, located in the vacuum region. The temporal evolution of this driven system is simulated numerically. It is shown that the so-called ‘ideal quasi-modes’ (or ‘collective modes’) play a fundamental role in resonant absorption, and affect both the temporal evolution of the driven system and the efficiency of this heating mechanism considerably. The variation of the energetics in periodically driven resistive systems is analysed in detail for three different choices of the driving frequency, viz an arbitrary continuum frequency, the frequency of an ideal ‘quasi-mode’, and a discrete Alfvén wave frequency. The consequences for Alfvén wave heating of both laboratory plasmas and solar coronal loops are discussed.

scholarly journals Microwave realization of a periodically driven system

2013 ◽  
Vol 15 (8) ◽  
pp. 083030 ◽  
Author(s):  
S Gehler ◽  
T Tudorovskiy ◽  
C Schindler ◽  
U Kuhl ◽  
H-J Stöckmann
Keyword(s):  
Periodically Driven ◽  
Driven System
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