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4 phase synchronization phenomena in coupled oscillator systems and its applications

Research Project

Project/Area Number 09650421
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 情報通信工学
Research InstitutionNippon Institute of Technology

Principal Investigator

MORI Shinsaku  Nippon Institute of Technology, Dept.of Electrical and Electronics, Professor, 工学部・電気電子工学科, 教授 (00051269)

Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 1998: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1997: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywordsoscillators / chaos oscillators / coupled systems / 4 phase synchronization / Net work / ネットワーク / 非線形回路 / 同期 / 4相
Research Abstract

It is known that, in star coupled oscillators with one register, when the number of oscillators is prime number, n phase synchronized oscillations ocurrs. Especially when n is 4, we can not see the 4 phase oscillation and only two pairs of antiphase oscillations.
In this research, we studied the phenomena of 4 coupled oscillators with different natural frequencies, and we could find that both 2 indepent pairs of anti phase synchronized phenomena, and 4 phase synchronized oscillations exist.
If the nonlinear characteristic of negative resistance in oscillators are anti-symmetrical, 4 phase synchronized oscillation ocurrs, in star coupled system, and more over, network system by 4 coupled oscillators as a network elements, synchronized phase pattern ocurrs in the networks, and this 4 coupled oscillators are useful as an element of cellullar neural networks.
In full coupled chaos oscillators by capacitor, 4phase chaotic synchronizations can be seen. And we studied coupled systems with two defferent type chaos oscillators.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (48 results)

All Other

All Publications (48 results)

  • [Publications] 茂呂征一郎: "異なる発振周波数をもつ4個の発振器の結合系にみられる相互同期" 電子情報通信学会技術報告. NLP97-35. 171-177 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroo Sekiya: "Synchronization in chaotic circuits mutually full-coupled by capacitors" Proc.IEEE International Symposium on Cicuits and Systems. 817-820 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroo Sekiya: "Four-phase synchronization in three-dimensional oscillators" Proc.of European Conference on Circuit Theory and Design. 707-712 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Seiichiro Moro: "Four-phase oscillation in resistively coupled oscillators with asymmetric nonlinear characteristics" Proc.of European Conference Circuit Theory and Desigh. 719-724 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 茂呂征一郎: "4相同期発振器を用いた結合発振器ネットワーク" 電子情報通信学会論文誌(A). J81-A. 966-998 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 関屋大雄: "3次元発振器結合系における4相同期現象" 電子情報通信学会技術報告. NLP97-156. 49-56 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Seiichiro Moro: "Mutual synchronization in 4coupled oscillators with different natural frequencies" Proc.of IEEE International Symposium on Circuits and Systems. III. 534-537 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 田中洋章: "実固有値、複素固有値を持つ回路の交互切り替わりによって生ずるカオス現象" 電子情報通信学会技術報告. NLP98-33. 23-29 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 宮野善弘: "2つの周波数切り替えによって生ずるカオス現象" 電子情報通信学会技術報告. NLP98-34. 31-36 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroo Sekiya: "Synchronization in oscillators coupled by one resistor with external force" Proc.Int'l.Specialist Workshop on Nonlinear Dyn.of Elec.Systems. 245-248 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroaki Tanaka: "Simple chaos oscillator with inverse parallel diodes" Proc.Int'l.Symp.on Nonliner Theory and its Applications. 747-750 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yoshihiro Miyano: "Chaotic oscillator circuit with a negative conductance and anti-parallel diodes" Proc.Int'l.Symp.on Nonliner Theory and its Applications. 947-950 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 関屋大雄: "カオス発振器の結合系にみられるSelf-switchingの同期現象" 電子情報通信学会技術報告. NLP98-128. 43-49 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 田中洋章: "実固有値,複素固有値を持つ回路の交互切り替りによって生ずるカオスの結合" 電子情報通信学会技術報告. NLP98-129. 51-56 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Seiichiro Moro: "Mutual synchronization in 4 coupled oscillators with different natural frequencies" IEICE Technical Report. NLP97-35. 171-177 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroo Sekiya: "Synchronization in chaotic circuits mutually full-coupled by capacitors" Proc.IEEE International Symposium on Circuits and Systems.817-820 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroo Sekiya: "Four-phase synchronization in three-dimensional oscillators" Proc.of European Conference on Circuit Theory and Design.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Seiichiro Moro: "Four-phase oscillation in resistively coupled oscillators with asymmetric nonlinear characteristic" Proc.of European Conference on Circuit Theory and Design.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Seiichiro Moro: "Coupled oscillator network by 4 phase synchronized oscillator" Proc.IEICE (A). J81-A. 966-998 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Seiichiro Moro: "4 Phase synchronizing phenomena with coupled 3 dimensional oscillators" IEICE Technical Report. NLP97-156. 49-56 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Seiichiro Moro: "Mutual synchronization in 4 coupled oscillators with different natural frequencies" Proc.of IEEE International Symposium on Circuits and Systems. III. 534-537 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroaki Tanaka: "Chaos phenomena by switching of circuits with real characteristic roots and complex conjugate one" IEICE Technical Report. NLP98-33. 23-29 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yoshihiro Miyano: "Chaos phenomena by switching two defferent natural frequency resonant circuits" IEICE Technical Report. NLP98-34. 31-36 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroo Sekiya: "Synchronization in oscillators coupled by one resistor with external force" Proc.Int'l.Specialist Workshop on Nonlinear Dyn.of Elec.Systems. 245-248 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroaki Tanaka: "Simple chaos oscillator with inverse parallel diodes" Proc.Int'l.Symp.On Nonlinear Theory and its Applications. 2. 747-750 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yoshihiro Miyano: "Chaotic oscillator circuit with a negative conductance and anti-parallel diodes" Proc.Int'l.Symp.On Nonlinear Theory and its Applications. 3. 947-950 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroo Sekiya: "Self Switching synchronization phenomena in coupled chaos" IEICE Technical Report. NLP98-128. 43-49

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroaki Tanaka: "Coupled system of two chaos generator by switching of circuits with real characteristic roots and complex conjugate one" IEICE Technical Report. NLP98-129. 51-56 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroo Sekiya: "Synchronization Phenomena on Four Simple Chaotic Oscillators Full-Coupled by Capacitors" Proc.IEICE (A). J82-A. 375-385 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 茂呂征一郎: "異なる発振周波数をもつ4個の発振器の結合系にみられる相互同期" 電子情報通信学会技術報告. NLP97-35. 171-177 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Hiroo Sekiya: "Synchronization in chaotic circuits mutually full-coupled by capacitors" Proc.IEEE International Symposium on Cicuits and Systems. 817-820 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Hiroo Sekiya: "Four-phase synchronization in three-dimensional oscillators" Proc.of European Conference on Circuit Theory and Design. 707-712 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Seiichiro Moro: "Four-phase oscillation in resistively coupled oscillators with asymmetric nonlinear characteristics" Proc.of European Conference on Circuit Theory and Design. 719-724 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] 茂呂征一郎: "4相同期発振器を用いた結合発振器ネットワーク" 電子情報通信学会論文誌(A). J81-A. 966-998 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 関谷大雄: "3次元発振器結合系における4相同期現象" 電子情報通信学会技術報告. NLP97-156. 49-56 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Seiichiro Moro: "Mutual synchronization in 4 coupled oscillators with differentnatural frequencies" Proc.of IEEE International Symposium on Circuits and Systems. III. 534-537 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 田中洋章: "実固有値、複素固有値を持つ回路の交互切り替わりによって生ずるカオス現象" 電子情報通信学会技術報告. NLP98-33. 23-29 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 宮野善弘: "2つの周波数切り替えによって生ずるカオス現象" 電子情報通信学会技術報告. NLP98-34. 31-36 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Hiroo Sekiya: "Synchronization in oscillators coupled by one resistor with external force" Proc.Int'l.Specialist Workshop on Nonlinear Dyn.of Elec.Systems. 245-248 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Hiroaki Tanaka: "Simple chaos oscillator with inverse parallel diodes" Proc.Int'l.Symp.on Nonliner Theory and its Applications. 747-750 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Yoshihiro Miyano: "Chaotic oscillator circuit with a negative conductance and anti-parallel diodes" Proc.Int'l.Symp.on Nonliner Theory and its Applications. 947-950 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 関屋大雄: "カオス発振器の結合系にみられるSelf-switchingの同期現象" 電子情報通信学会技術報告. NLP98-128. 43-49 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 田中洋章: "実固有値,複素固有値を持つ回路の交互切り替りによって生ずるカオスの結合" 電子情報通信学会技術報告. NLP98-129. 51-56 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 茂呂征一郎,森真作,笹瀬巖: "4相同期発振器を用いた結合発振器ネットワーク" 電子情報通信学会論文誌(A). 採録決定.

    • Related Report
      1997 Annual Research Report
  • [Publications] H.Sekiya,S.moro,S.mori: "Synchronigation in chaotic circwits mutually full couphed by capacitor" Proc.of IEEE Internat.onal symposium on circuits and systems(ISCAS‘97). Jun. 817-820 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] H.seRiya,M.noguchi,S.Moro,S.Mori: "Four Phase gynchronigat,on in tri-dimensional osc:llators" Proc.of Euro Piam conference on circuit Theory and Des:gn(ECCTD‘97). sept. 707-712 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Moro,H.Sekiya,S.Mori: "Four phase Osc;llation in resistively coupled Osc;llators with asymetric non linear characteristics" (ECCTD‘97). sept. 719-724 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Moro,S.Mori,I.Sasase: "Mutual Synchronigation in 4 coupled Osc;llators With Different natural Freguencies" Proc,IEEE.ISCAS‘98. May(採録). (1998)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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