• Acta Physica Sinica
  • Vol. 68, Issue 10, 100503-1 (2019)
Jun Li* and Xin-Yan Hou
DOI: 10.7498/aps.68.20190156 Cite this Article
Jun Li, Xin-Yan Hou. Dynamic reconstruction of chaotic system based on exponential weighted online sequential extreme learning machine with kernel[J]. Acta Physica Sinica, 2019, 68(10): 100503-1 Copy Citation Text show less
References

[1] Chen G R, Dong X N 1998 From Chaos to Order: Methodologies, Perspectives and Applications (Singapore: World Scientific) pp21-134

[2] Strogatz S H 2015 Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering 2nd (Boulder, CO: Westview press) pp244-411

[3] Aguirre L A, Letellier C[J]. Math. Probl. Eng., 2009, 1(2009).

[4] Ahmad T A, Sundarapandian V 2015 Chaos Modeling and Control Systems Design (Berlin: Springer-Verlag) pp59-72

[5] Feng J C 2008 Reconstruction of Chaotic Signals with Applications to Chaos-Based Communications (Singapore: World Scientific) pp27-164

[6] Mattera D, Haykin S 1999 Advances in Kernel Methods: Support vector learning (Cambridge: MIT Press) p211

[7] Ishii S, Sato M A[J]. Neural Networks, 14, 1239(2001).

[8] Zhang Z, Wang T, Liu X[J]. Neurocomputing, 131, 368(2014).

[9] Li R G, Zhang H L, Fan W H, Wang Y[J]. Acta Phys. Sin., 64, 200506(2015).

[10] Wang X Y, Han M[J]. Acta Phys. Sin., 64, 070504(2015).

[11] Wen S, Zeng Z, Huang T, Chen Y[J]. Phys. Lett. A, 377, 2016(2013).

[12] Miranian A, Abdollahzade M[J]. IEEE Trans. Neural Netw. Learn. Syst., 24, 207(2013).

[13] Shaw P K, Saha D, Ghosh S, Janaki M S, Lyengar A S[J]. Chaos Soliton. Fract., 78, 285(2015).

[14] Billings S A, Coca D[J]. Int. J. Bifurcat.Chaos, 9, 1263(1999).

[15] Sanchez L, Infante S[J]. Chil. J. Stat., 4, 35(2013).

[16] Aguirre L A, Teixeira B O S, Torres L A B[J]. Phys. Rev. E, 72, 026226(2005).

[17] Li J, Dong H Y[J]. Acta Phys. Sin., 57, 4756(2008).

[18] Huang G B, Zhu Q Y, Siew C K[J]. Neurocomputing, 70, 489(2006).

[19] Liang N Y, Huang G B, Saratchandran P, Sundararajan N[J]. IEEE Trans. Neural Netw., 17, 1411(2006).

[20] Scardapane S, Comminiello D, Scarpiniti M, Uncini A[J]. IEEE Trans. Neural Netw. Learn. Syst., 26, 2214(2015).

[21] Vaerenbergh S V, Santamaria I, Liu W, Principe J C 2010 The 35th IEEE International Conference on Acoustics Speech & Signal Processing Dallas, Texas, USA, March 14-19, 2010 p1882

[22] Liu W, Principe J C, Haykin S 2010 Kernel Adaptive Filtering: A Comprehensive Introduction pp108-110

[23] Engel Y, Mannor S, Meir R[J]. IEEE Trans. Signal Process., 52, 2275(2004).

[24] se Kruif B J, [J]. IEEE Trans. Neural Netw., 14, 696(2003).

[25] Ueda Y[J]. Int. J. Nonlin. Mech., 20, 481(1985).

[26] Yang Z, Gao Y, Gao Y, Zhang J[J]. Chin. Phys. Lett., 26, 060506(2009).

[27] Odavic J, Mali P, Tekic J, Pantic M, Pavkov-Hrvojevic M[J]. Commun. Nonlinear Sci. Numer. Simul., 47, 100(2017).

[28] Suykens J A K, Vandewalle J[J]. IEEE Trans. Circ. Syst. Fund. Theor. Appl., 42, 499(1995).

[29] Cannas B, Cincotti S, Marchesi M, Pilo F[J]. Chaos Soliton. Fract., 12, 2109(2001).

[30] Aguirre L A, Rodrigues G G, Mendes E M[J]. Int. J. Bifurcat. Chaos, 7, 1411(1997).

[31] Kennedy M P[J]. Frequenz, 46, 66(1992).

[32] Timmer J, Rust H, Horbelt W, Voss H U[J]. Phys. Lett. A, 274, 123(2000).

Jun Li, Xin-Yan Hou. Dynamic reconstruction of chaotic system based on exponential weighted online sequential extreme learning machine with kernel[J]. Acta Physica Sinica, 2019, 68(10): 100503-1
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