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Kitahata H, Fujio K, Gorecki J, Nakata S, Igarashi Y, Gorecka A, Yoshikawa K. Oscillation in Penetration Distance in a Train of Chemical Pulses Propagating in an Optically Constrained Narrowing Channel. J Phys Chem A 2009; 113:10405-9. [DOI: 10.1021/jp903686k] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Hiroyuki Kitahata
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Kenji Fujio
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Jerzy Gorecki
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Satoshi Nakata
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Yasuhiro Igarashi
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Agnieszka Gorecka
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Kenichi Yoshikawa
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
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Bao W, Li Z, Zhou LQ, Gao Z. Robust entrainment phenomena of oscillations by delay time in the photosensitive Oregonator model. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 79:016214. [PMID: 19257129 DOI: 10.1103/physreve.79.016214] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/23/2008] [Revised: 10/20/2008] [Indexed: 05/27/2023]
Abstract
The influences of delayed feedback on the oscillating behaviors are numerically investigated by using the photosensitive Oregonator model with a Hopf point. We find that the time delay in the robust entrainment phenomena determines the time scale of the system, that is, T_{m}=(tau+delta)N (N=1,2,cdots, three dots, centered) , where T_{m} is the mean period of the oscillation and delta is a small constant compared with the delay time tau . Further, our numerical simulation shows that, when the system has a characteristic period T0 under the feedback with time delay, there exists an asymptotical line delta=delta_{0}T_{0} ( delta_{0} independent of any parameters) in the entrainment region with increasing strength of the feedback control c ; when the system has no characteristic period, the above linear relation is also kept, and delta decreases with increasing c .
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Affiliation(s)
- Wei Bao
- State Key Laboratory for Mesoscopic Physics, Department of Physics, Peking University, Beijing 100871, China
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