Delayed feedback control of a chemical chaotic model

The Willamowski–Rössler model system is investigated. It has been found that the system can be locked in a special district: stable without oscillation, periodic-1 oscillation, periodic-2 oscillation by the time delayed feedback. Numerical simulation result has also shown that the initial condition...

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Published inApplied mathematical modelling Vol. 33; no. 2; pp. 677 - 682
Main Authors Lei, AiZhong, Ji, Lin, Xu, WeiGuo
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Inc 01.02.2009
Elsevier
Subjects
Chaos control
Chemical reactivity
Chemistry
Delayed feedback
Dynamical system
Exact sciences and technology
Nonlinear dynamics and nonlinear dynamical systems
Organic chemistry
Physics
Reactivity and mechanisms
Statistical physics, thermodynamics, and nonlinear dynamical systems
Willamowski–Rössler model
Dynamical system
Willamowski–Rössler model
Chaos control
Delayed feedback
Chaos
Initial conditions
Active system
Feedback
Delay control
Chemical reactions
Modelling
Willamowski-Rössler model
Time delay
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Abstract The Willamowski–Rössler model system is investigated. It has been found that the system can be locked in a special district: stable without oscillation, periodic-1 oscillation, periodic-2 oscillation by the time delayed feedback. Numerical simulation result has also shown that the initial condition can affect the result of chaos controlling.
AbstractList The Willamowski–Rössler model system is investigated. It has been found that the system can be locked in a special district: stable without oscillation, periodic-1 oscillation, periodic-2 oscillation by the time delayed feedback. Numerical simulation result has also shown that the initial condition can affect the result of chaos controlling.
The Willamowski-Rossler model system is investigated. It has been found that the system can be locked in a special district: stable without oscillation, periodic-1 oscillation, periodic-2 oscillation by the time delayed feedback. Numerical simulation result has also shown that the initial condition can affect the result of chaos controlling.
Author Lei, AiZhong
Xu, WeiGuo
Ji, Lin
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  organization: Institute of System Engineering, Shanghai Jiaotong University, Shanghai 200052, China
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  givenname: Lin
  surname: Ji
  fullname: Ji, Lin
  organization: Department of Chemistry, Capital Normal University, Beijing 100037, China
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  givenname: WeiGuo
  surname: Xu
  fullname: Xu, WeiGuo
  email: xuwg@mail.nsfc.gov.cn
  organization: National Natural Science Foundation of China, 83 Shuangqing Road, Beijing 100085, China
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crossref_primary_10_3390_math10213947
crossref_primary_10_1016_j_chaos_2018_02_012
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Cites_doi 10.1016/j.matcom.2004.03.004
10.1016/j.chaos.2006.03.008
10.1103/PhysRevLett.66.2545
10.1016/0375-9601(92)90745-8
10.1016/0375-9601(95)00654-L
10.1515/zna-1980-0308
10.1103/PhysRevLett.68.1
10.1038/35042500
10.1016/0375-9601(93)90501-P
10.1016/S0960-0779(97)00069-6
10.1103/PhysRevLett.79.2911
10.1103/PhysRevLett.64.1196
10.1103/PhysRevA.41.726
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Issue 2
Keywords Dynamical system
Willamowski–Rössler model
Chaos control
Delayed feedback
Chaos
Initial conditions
Active system
Feedback
Delay control
Chemical reactions
Modelling
Willamowski-Rössler model
Time delay
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References Dressler, Nitsche (bib2) 1992; 68
Braiman, Goldhirsch (bib6) 1991; 66
Willamowski, Rössler (bib11) 1980; 35a
Pyragas (bib5) 1995; 206
Sun, Zhang (bib9) 2004; 66
Pyragas, Tamaševičius (bib4) 1993; 180
Pyragas (bib3) 1992; 170
Lima, Pettini (bib7) 1990; 41
Kapral, Showalter (bib12) 1995
Litak, Borowiec, Ali, Saha, Friswell (bib10) 2007; 33
Ott, Grebogi, Yorke (bib1) 1990; 64
Kim, Park, Ryu (bib14) 1997; 79
Osipov, Glatz, Troger (bib8) 1998; 9
Freeman (bib13) 2000; 406
Freeman (10.1016/j.apm.2007.12.001_bib13) 2000; 406
Osipov (10.1016/j.apm.2007.12.001_bib8) 1998; 9
Pyragas (10.1016/j.apm.2007.12.001_bib3) 1992; 170
Braiman (10.1016/j.apm.2007.12.001_bib6) 1991; 66
Litak (10.1016/j.apm.2007.12.001_bib10) 2007; 33
Dressler (10.1016/j.apm.2007.12.001_bib2) 1992; 68
Kim (10.1016/j.apm.2007.12.001_bib14) 1997; 79
Ott (10.1016/j.apm.2007.12.001_bib1) 1990; 64
Pyragas (10.1016/j.apm.2007.12.001_bib4) 1993; 180
Kapral (10.1016/j.apm.2007.12.001_bib12) 1995
Lima (10.1016/j.apm.2007.12.001_bib7) 1990; 41
Willamowski (10.1016/j.apm.2007.12.001_bib11) 1980; 35a
Pyragas (10.1016/j.apm.2007.12.001_bib5) 1995; 206
Sun (10.1016/j.apm.2007.12.001_bib9) 2004; 66
References_xml – volume: 64
  start-page: 1196
  year: 1990
  ident: bib1
  publication-title: Phys. Rev. Lett.
  contributor:
    fullname: Yorke
– volume: 66
  start-page: 499
  year: 2004
  ident: bib9
  publication-title: Math. Comput. Simul.
  contributor:
    fullname: Zhang
– volume: 180
  start-page: 99
  year: 1993
  ident: bib4
  publication-title: Phys. Lett. A
  contributor:
    fullname: Tamaševičius
– volume: 406
  start-page: 313
  year: 2000
  ident: bib13
  publication-title: Nature
  contributor:
    fullname: Freeman
– volume: 33
  start-page: 1672
  year: 2007
  ident: bib10
  publication-title: Chaos Soliton Fract.
  contributor:
    fullname: Friswell
– volume: 79
  start-page: 2911
  year: 1997
  ident: bib14
  publication-title: Phys. Rev. Lett.
  contributor:
    fullname: Ryu
– volume: 68
  start-page: 1
  year: 1992
  ident: bib2
  publication-title: Phys. Rev. Lett.
  contributor:
    fullname: Nitsche
– volume: 66
  start-page: 2545
  year: 1991
  ident: bib6
  publication-title: Phys. Rev. Lett.
  contributor:
    fullname: Goldhirsch
– volume: 170
  start-page: 421
  year: 1992
  ident: bib3
  publication-title: Phys. Lett. A
  contributor:
    fullname: Pyragas
– volume: 9
  start-page: 307
  year: 1998
  ident: bib8
  publication-title: Chaos Soliton Fract.
  contributor:
    fullname: Troger
– volume: 206
  start-page: 323
  year: 1995
  ident: bib5
  publication-title: Phys. Lett. A
  contributor:
    fullname: Pyragas
– volume: 41
  start-page: 726
  year: 1990
  ident: bib7
  publication-title: Phys. Rev. A
  contributor:
    fullname: Pettini
– volume: 35a
  start-page: 317
  year: 1980
  ident: bib11
  publication-title: Z. Naturforsch.
  contributor:
    fullname: Rössler
– year: 1995
  ident: bib12
  article-title: Chemical Waves and Patterns
  contributor:
    fullname: Showalter
– volume: 66
  start-page: 499
  year: 2004
  ident: 10.1016/j.apm.2007.12.001_bib9
  publication-title: Math. Comput. Simul.
  doi: 10.1016/j.matcom.2004.03.004
  contributor:
    fullname: Sun
– volume: 33
  start-page: 1672
  year: 2007
  ident: 10.1016/j.apm.2007.12.001_bib10
  publication-title: Chaos Soliton Fract.
  doi: 10.1016/j.chaos.2006.03.008
  contributor:
    fullname: Litak
– volume: 66
  start-page: 2545
  year: 1991
  ident: 10.1016/j.apm.2007.12.001_bib6
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.66.2545
  contributor:
    fullname: Braiman
– volume: 170
  start-page: 421
  year: 1992
  ident: 10.1016/j.apm.2007.12.001_bib3
  publication-title: Phys. Lett. A
  doi: 10.1016/0375-9601(92)90745-8
  contributor:
    fullname: Pyragas
– volume: 206
  start-page: 323
  year: 1995
  ident: 10.1016/j.apm.2007.12.001_bib5
  publication-title: Phys. Lett. A
  doi: 10.1016/0375-9601(95)00654-L
  contributor:
    fullname: Pyragas
– volume: 35a
  start-page: 317
  year: 1980
  ident: 10.1016/j.apm.2007.12.001_bib11
  publication-title: Z. Naturforsch.
  doi: 10.1515/zna-1980-0308
  contributor:
    fullname: Willamowski
– year: 1995
  ident: 10.1016/j.apm.2007.12.001_bib12
  contributor:
    fullname: Kapral
– volume: 68
  start-page: 1
  year: 1992
  ident: 10.1016/j.apm.2007.12.001_bib2
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.68.1
  contributor:
    fullname: Dressler
– volume: 406
  start-page: 313
  year: 2000
  ident: 10.1016/j.apm.2007.12.001_bib13
  publication-title: Nature
  doi: 10.1038/35042500
  contributor:
    fullname: Freeman
– volume: 180
  start-page: 99
  year: 1993
  ident: 10.1016/j.apm.2007.12.001_bib4
  publication-title: Phys. Lett. A
  doi: 10.1016/0375-9601(93)90501-P
  contributor:
    fullname: Pyragas
– volume: 9
  start-page: 307
  year: 1998
  ident: 10.1016/j.apm.2007.12.001_bib8
  publication-title: Chaos Soliton Fract.
  doi: 10.1016/S0960-0779(97)00069-6
  contributor:
    fullname: Osipov
– volume: 79
  start-page: 2911
  year: 1997
  ident: 10.1016/j.apm.2007.12.001_bib14
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.79.2911
  contributor:
    fullname: Kim
– volume: 64
  start-page: 1196
  year: 1990
  ident: 10.1016/j.apm.2007.12.001_bib1
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.64.1196
  contributor:
    fullname: Ott
– volume: 41
  start-page: 726
  year: 1990
  ident: 10.1016/j.apm.2007.12.001_bib7
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.41.726
  contributor:
    fullname: Lima
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Snippet The Willamowski–Rössler model system is investigated. It has been found that the system can be locked in a special district: stable without oscillation,...
The Willamowski-Rossler model system is investigated. It has been found that the system can be locked in a special district: stable without oscillation,...
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SubjectTerms Chaos control
Chemical reactivity
Chemistry
Delayed feedback
Dynamical system
Exact sciences and technology
Nonlinear dynamics and nonlinear dynamical systems
Organic chemistry
Physics
Reactivity and mechanisms
Statistical physics, thermodynamics, and nonlinear dynamical systems
Willamowski–Rössler model
Title Delayed feedback control of a chemical chaotic model
URI https://dx.doi.org/10.1016/j.apm.2007.12.001
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