2017 Fiscal Year Final Research Report
Understanding selforganized mechanism through construction of oscillator network with the given complex time evolution
Project/Area Number 
15K05221

Research Category 
GrantinAid for Scientific Research (C)

Allocation Type  Multiyear Fund 
Section  一般 
Research Field 
Mathematical physics/Fundamental condensed matter physics

Research Institution  Osaka ElectroCommunication University 
Principal Investigator 

CoInvestigator(Kenkyūbuntansha) 
青柳 富誌生 京都大学, 情報学研究科, 教授 (90252486)

Research Collaborator 
Alexander Mikhailov FritzHaber研究所

Project Period (FY) 
20150401 – 20180331

Keywords  ネットワーク型力学系 / マルコフ連鎖モンテカルロ法 / カオス / 力学系の設計 / 振動子集団 / 蔵本モデル / 分岐 / パワースペクトラム 
Outline of Final Research Achievements 
The purposes of this research are the following: 1) developing the algorithm to design a functional dynamical system 2) through the designing process by the developed method, extracting the selforganized rule which emerges the given function. We have developed the Markov chain Monte Carlo method to design the oscillator network which generates the given complex time signals. We considered the realvalued connection network, and adapted the staggeredstep method for the Monte Carlo method. Through the method, we have design oscillator network which generates periodic, quasiperiodic and chaotic signals. We have shown that, by designing the realvalued connection network, even the network of 10 oscillators produces fruitful time evolutions including chaos. In fact, such network oscillator can produce time signal with white colored power spectrum. In technological point of view, such tunable network oscillator is useful as signal generator with given characteristics.

Free Research Field 
非線形力学系
