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In this paper, we collect the 37 years' data observed for BL Lac object OJ287 in the optical band, and construct its light curve from 1972 to 2009. Using the method of Lomb-Scargle Fourier transform, we analyze the middle time-scale periodic behavior and discover the primary periodic compositions of 52.0±1.1 day and 255±23 day. Then, we simulate the quasi-periodic signal of period doubling bifurcations and compare it with the observation data at different time-interval in their phase diagram and correlation dimension. Result indicates that OJ287 has multi-period scale features. At different time-intervals, there are different harmonic period components in the quasi-periodic light curve. Variation of harmonic period component is related with the disturbance of accretion flow which is from the secondary black hole to the primary black hole, and the periodicity variability may bifurcate the harmonic period component when the primary accretion flow is influenced by a strong disturbance.
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Keywords:
- OJ287 /
- period of light variation /
- accretion flows /
- period doubling bifurcation
[1] Hartman R C, Bertsch D L, Bloom S D 1999 Astrophys. J. Suppl. 123 79
[2] Fan J H, Huang Y, Yuan Y H 2008 Chin. Phys. B 17 1526
[3] Valtonen M J, Mikkola S, Merritt D, Gopakumar A, Lehto H J, Hyvönen T, Rampadarath H, Saunders R, Basta M 2010 Astrophys. J. 709 725
[4] Abramowicz M A, Nobili L 1982 Nature 300 506
[5] Zhang X 1998 ChJAA 18 260 (in Chinese) [张雄 1998 天体物理学报 18 260]
[6] Tang J, Fu M X, Zhang H J, Liu X Q 2013 Acta. Astron. Sin. 54 421 (in Chinese) [唐洁, 傅明星, 张皓晶, 刘晓琴 2013 天文学报 54 421]
[7] Tang J, Zhang X J, Pang Q, Zhang H J, Zhang Y G, Zhang X 2009 Acta. Astron. Sin. 50 364 (in Chinese) [唐洁, 张晓娟, 庞桥, 张皓晶, 郑永刚, 张雄 2009 天文学报 50 364]
[8] Xun Y B, Zhang H J, Zhang X 2013 Journal of Yunnan Normal University. 33 9 (in Chinese) [徐云冰, 张皓晶, 张雄 2013 云南师范大学学报:自然科学版 33 9]
[9] Valtonen M J, Mikkola S, Lehto H J, Gopakumar A, Hudec R, Polednikova J 2011 Astrophys. J. 742 22
[10] Su C Y 2004 Chin. Phys. B. 13 1375
[11] Wu J, Zhou X, Wu X B, Liu F K, Peng B, Ma J, Wu Z Y, Jiang Z J, Chen J S 2006 Astronomy. J. 132 1256
[12] Valtonen M J, Wiik K 2012 Mon. Not. R. Astron. 421 1861
[13] Tang J 2014 Sci. Sin. Phys. G. 44 865 (in Chinese) [唐洁 2014 中国科学G辑 44 865]
[14] Carrasco L, Dultzin-hacyan D, Bruz-Gonzalez I 1985 Nature 314 146
[15] Valtonen M J, Nilsson K, Villforth C, Lehto H J, Takalo L O, Lindfors E, Sillanpää A, Hentunen V, Mikkola S, Zola S, Drozdz M, Koziel D, Ogloza W, Kurpinska-Winiarska M, Siwak M, Winiarski M, Heidt J, Kidger M, Pursimo T, Wu J, Zhou X, Sadakane K, Marchev D, Nissinen M, Niarchos P, Liakos A, Gazeas K, Dogru S, Poyner G, Dietrich M, Assef R, Atlee D, Bird J, DePoy D, Eastman J, Peeples M, Prieto J, Watson L, Yee J, Mattingly A, Ohlert J 2009 Astrophys. J. 698 781
[16] Pihajoki P, Valtonen M J, Ciprini S 2013 Mon. Not. R. Astron. 434 3122
[17] Tang J 2014 Acta. Phys. Sin. 63 049701 (in Chinese) [唐洁 2014 物理学报 63 049701]
[18] Libchaber A, Mauer J 1980 Journal de Physique. 41 51
[19] Lauterborn W, Cramer E 1981 Phys. Rev. Lett. 47 1445
[20] Schuster H G (translated by Hong X Z) 2010 An introduction of chaos (SiChuan:Education Press of SiChuan) pp73-74 (in Chinese) [H. G 舒斯特著 (朱鋐雄译) 2010 混沌学引论(四川: 四川教育出版社) 第73-74页]
[21] Chen F S, Jiang S Y 1993 Progress In Astronomy. 11 217 (in Chinese) [陈福生, 蒋世仰 1993 天文学进展 11 217]
[22] Xu B, Yang T, Tan B H, Chen Y 2011 Nuclear Electronics & Detection Technology 31 702 (in Chinese) [徐斌, 杨涛, 谭保华, 陈益 2011 核电子学与探测技术 31 702]
[23] Horne J H, Baliunas S L 1986 Astrophys. J. 302 757
[24] Packard N H, Crutchfield J P, Farmer J D, Shaw R S 1980 Phy. Rev. Lett. 45 712
[25] Harikrishnan K P, Misra R, Ambika G, Kembhavi A K 2006 Physica. D 215 137
[26] Ou J W, Zhang H J, Zheng Y G, Zhang X 2014 Acta. Phys. Sin. 63 049801 (in Chinese) [欧健文, 张浩晶, 郑永刚, 张雄 2014 物理学报 63 049801]
[27] Jia G B, Cen X F, Ma H Y, Wang J C 2008 Astron. Astrophys. Suppl 129 569
[28] Zheng Y G, Zhang X, Bi X W, Hao J M, Zhang H J 2008 Mon. Not. R. Astron. 385 823
[29] Villforth C, Nilsson K, Heidt J, Takalo L O, Pursimo T, Berdyugin A, Lindfors E, Pasanen M, Winiarski M, Drozdz M, Ogloza W, Kurpinska-Winiarska M, Siwak M, Koziel-Wierzbowska D, Porowski C, Kuzmicz A, Krzesinski J, Kundera T, Wu J, Zhou X, Efimov Y, Sadakane K, Kamada M, Ohlert J, Hentunen V, Nissinen M, Dietrich M, Assef R J, Atlee D W, Bird J, Depoy D L, Eastman J, Peeples M S, Prieto J, Watson L, Yee J C, Liakos A, Niarchos P, Gazeas K, Dogru S, Donmez A, Marchev D, Coggins-Hill S A, Mattingly A, Keel W C, Haque S, Aungwerojwit A, Bergvall N 2010 Mon. Not. R. Astron. 402 2087
[30] Lehto H, Valtonen M J 1996 Astrophys. J. 460 207
[31] Sundelius B, Wahde M, Lehto H J, Valtonen M J 1997 Astrophys. J. 484 180
[32] Cao X W, Zhang J L 1993 Acta. Astron. Sin. 34 366 (in Chinese) [曹新伍, 张家铝 1993 天文学报 34 366]
[33] Wu S Q, Zhang Y, Fu Z W 2012 Acta. Astron. Sin. 53 186 (in Chinese) [武曙光, 张杨, 付正文 2012 天文学报 53 186]
[34] Grassberger P, Procaccia I 1983 Physica. D 9 189
[35] Yonehara A, Mineshige S 1997 Astrophys. J. 486 388
[36] Ou J W, Zheng Y G, Zhang X 2014 Acta. Phys. Sin. 63 239801 (in Chinese) [欧健文, 郑永刚, 张雄 2014 物理学报 63 239801]
[37] Sillanpää A, Takalo L O, Pursimo T, Nilsson K, Heinamaki P, Katajainen S, Pietila H, Hanski M, Rekola R, Kidger M, Boltwood P, Turner G W, Robertson J W, Honeycut R K, Efimov Y S, Shakhovskoy N, Fiorucci M, Tosti G, Ghisellini G, Raiteri C M, Villata M, de Francesco G, Lanteri L, Chiaberge M, Peila A, Heidt J 1996 Astron. Astrophys. 305L 13
[38] Zhang X, Zheng Y G, Zhang H J, Hu S M, Xie Z H 2006 Chin. Phys. 15 2185
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[1] Hartman R C, Bertsch D L, Bloom S D 1999 Astrophys. J. Suppl. 123 79
[2] Fan J H, Huang Y, Yuan Y H 2008 Chin. Phys. B 17 1526
[3] Valtonen M J, Mikkola S, Merritt D, Gopakumar A, Lehto H J, Hyvönen T, Rampadarath H, Saunders R, Basta M 2010 Astrophys. J. 709 725
[4] Abramowicz M A, Nobili L 1982 Nature 300 506
[5] Zhang X 1998 ChJAA 18 260 (in Chinese) [张雄 1998 天体物理学报 18 260]
[6] Tang J, Fu M X, Zhang H J, Liu X Q 2013 Acta. Astron. Sin. 54 421 (in Chinese) [唐洁, 傅明星, 张皓晶, 刘晓琴 2013 天文学报 54 421]
[7] Tang J, Zhang X J, Pang Q, Zhang H J, Zhang Y G, Zhang X 2009 Acta. Astron. Sin. 50 364 (in Chinese) [唐洁, 张晓娟, 庞桥, 张皓晶, 郑永刚, 张雄 2009 天文学报 50 364]
[8] Xun Y B, Zhang H J, Zhang X 2013 Journal of Yunnan Normal University. 33 9 (in Chinese) [徐云冰, 张皓晶, 张雄 2013 云南师范大学学报:自然科学版 33 9]
[9] Valtonen M J, Mikkola S, Lehto H J, Gopakumar A, Hudec R, Polednikova J 2011 Astrophys. J. 742 22
[10] Su C Y 2004 Chin. Phys. B. 13 1375
[11] Wu J, Zhou X, Wu X B, Liu F K, Peng B, Ma J, Wu Z Y, Jiang Z J, Chen J S 2006 Astronomy. J. 132 1256
[12] Valtonen M J, Wiik K 2012 Mon. Not. R. Astron. 421 1861
[13] Tang J 2014 Sci. Sin. Phys. G. 44 865 (in Chinese) [唐洁 2014 中国科学G辑 44 865]
[14] Carrasco L, Dultzin-hacyan D, Bruz-Gonzalez I 1985 Nature 314 146
[15] Valtonen M J, Nilsson K, Villforth C, Lehto H J, Takalo L O, Lindfors E, Sillanpää A, Hentunen V, Mikkola S, Zola S, Drozdz M, Koziel D, Ogloza W, Kurpinska-Winiarska M, Siwak M, Winiarski M, Heidt J, Kidger M, Pursimo T, Wu J, Zhou X, Sadakane K, Marchev D, Nissinen M, Niarchos P, Liakos A, Gazeas K, Dogru S, Poyner G, Dietrich M, Assef R, Atlee D, Bird J, DePoy D, Eastman J, Peeples M, Prieto J, Watson L, Yee J, Mattingly A, Ohlert J 2009 Astrophys. J. 698 781
[16] Pihajoki P, Valtonen M J, Ciprini S 2013 Mon. Not. R. Astron. 434 3122
[17] Tang J 2014 Acta. Phys. Sin. 63 049701 (in Chinese) [唐洁 2014 物理学报 63 049701]
[18] Libchaber A, Mauer J 1980 Journal de Physique. 41 51
[19] Lauterborn W, Cramer E 1981 Phys. Rev. Lett. 47 1445
[20] Schuster H G (translated by Hong X Z) 2010 An introduction of chaos (SiChuan:Education Press of SiChuan) pp73-74 (in Chinese) [H. G 舒斯特著 (朱鋐雄译) 2010 混沌学引论(四川: 四川教育出版社) 第73-74页]
[21] Chen F S, Jiang S Y 1993 Progress In Astronomy. 11 217 (in Chinese) [陈福生, 蒋世仰 1993 天文学进展 11 217]
[22] Xu B, Yang T, Tan B H, Chen Y 2011 Nuclear Electronics & Detection Technology 31 702 (in Chinese) [徐斌, 杨涛, 谭保华, 陈益 2011 核电子学与探测技术 31 702]
[23] Horne J H, Baliunas S L 1986 Astrophys. J. 302 757
[24] Packard N H, Crutchfield J P, Farmer J D, Shaw R S 1980 Phy. Rev. Lett. 45 712
[25] Harikrishnan K P, Misra R, Ambika G, Kembhavi A K 2006 Physica. D 215 137
[26] Ou J W, Zhang H J, Zheng Y G, Zhang X 2014 Acta. Phys. Sin. 63 049801 (in Chinese) [欧健文, 张浩晶, 郑永刚, 张雄 2014 物理学报 63 049801]
[27] Jia G B, Cen X F, Ma H Y, Wang J C 2008 Astron. Astrophys. Suppl 129 569
[28] Zheng Y G, Zhang X, Bi X W, Hao J M, Zhang H J 2008 Mon. Not. R. Astron. 385 823
[29] Villforth C, Nilsson K, Heidt J, Takalo L O, Pursimo T, Berdyugin A, Lindfors E, Pasanen M, Winiarski M, Drozdz M, Ogloza W, Kurpinska-Winiarska M, Siwak M, Koziel-Wierzbowska D, Porowski C, Kuzmicz A, Krzesinski J, Kundera T, Wu J, Zhou X, Efimov Y, Sadakane K, Kamada M, Ohlert J, Hentunen V, Nissinen M, Dietrich M, Assef R J, Atlee D W, Bird J, Depoy D L, Eastman J, Peeples M S, Prieto J, Watson L, Yee J C, Liakos A, Niarchos P, Gazeas K, Dogru S, Donmez A, Marchev D, Coggins-Hill S A, Mattingly A, Keel W C, Haque S, Aungwerojwit A, Bergvall N 2010 Mon. Not. R. Astron. 402 2087
[30] Lehto H, Valtonen M J 1996 Astrophys. J. 460 207
[31] Sundelius B, Wahde M, Lehto H J, Valtonen M J 1997 Astrophys. J. 484 180
[32] Cao X W, Zhang J L 1993 Acta. Astron. Sin. 34 366 (in Chinese) [曹新伍, 张家铝 1993 天文学报 34 366]
[33] Wu S Q, Zhang Y, Fu Z W 2012 Acta. Astron. Sin. 53 186 (in Chinese) [武曙光, 张杨, 付正文 2012 天文学报 53 186]
[34] Grassberger P, Procaccia I 1983 Physica. D 9 189
[35] Yonehara A, Mineshige S 1997 Astrophys. J. 486 388
[36] Ou J W, Zheng Y G, Zhang X 2014 Acta. Phys. Sin. 63 239801 (in Chinese) [欧健文, 郑永刚, 张雄 2014 物理学报 63 239801]
[37] Sillanpää A, Takalo L O, Pursimo T, Nilsson K, Heinamaki P, Katajainen S, Pietila H, Hanski M, Rekola R, Kidger M, Boltwood P, Turner G W, Robertson J W, Honeycut R K, Efimov Y S, Shakhovskoy N, Fiorucci M, Tosti G, Ghisellini G, Raiteri C M, Villata M, de Francesco G, Lanteri L, Chiaberge M, Peila A, Heidt J 1996 Astron. Astrophys. 305L 13
[38] Zhang X, Zheng Y G, Zhang H J, Hu S M, Xie Z H 2006 Chin. Phys. 15 2185
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