Nonlinear interdependence of the Chinese stock markets

References

• Afrainmovich , N , Verichev , N and Rabinovich , MI . 1986 . Stochastic synchronization of oscillations in dissipative systems . Radio Phys. Quant. Electron. , 29 : 747 – 751 .
   Google Scholar
• Ang , A and Bekaert , G . 2002 . International asset allocation with regime shifts . Rev. Financial Stud. , 15 : 1137 – 1187 .
   Web of Science ®Google Scholar
• Bae , K , Karolyi , G and Stulz , R . 2003 . A new approach to measuring financial contagion . Rev. Financial Stud. , 16 : 717 – 763 .
   Web of Science ®Google Scholar
• Baek , SJ and Ott , E . 2004 . Onset of synchronization in systems of globally coupled chaotic maps . Phys. Rev. E , 69 : 066210
   Web of Science ®Google Scholar
• Baele , L . Ferrando, A., Hördahl, P., Krylova, E. and Monnet, C. Measuring financial integration in the euro area.European Central Bank, Occasional Paper Series, No. 14, 2004
   Google Scholar
• Balanov , AN , Postnov , JD and Sosnovtsev , O . 2009 . Synchronization: From Simple to Complex , Berlin : Springer .
   Google Scholar
• Bekaert , G and Wu , G . 2000 . Asymmetric volatility and risk in equity markets . Rev. Financial Stud. , 13 : 1 – 42 .
   Web of Science ®Google Scholar
• Breakspear , M and Terry , JR . 2002 . Topographic organization of nonlinear interdependence in multichannel human EEG . NeuroImage , 16 : 822 – 835 .
   PubMed Web of Science ®Google Scholar
• Cao , L . 1997 . Practical method for determining the minimum embedding dimension of a scalar time series . Physica D , 110 : 43 – 50 .
   Web of Science ®Google Scholar
• Cleveland , W and Devlin , SJ . 1982 . Calendar effects in monthly time series: Modeling and adjustment . J. Am. Statist. Assoc. , 77 : 520 – 528 .
   Web of Science ®Google Scholar
• Das , S and Uppal , R . 2004 . Systemic risk and international portfolio choice . J. Finance , 59 : 22809 – 2834 .
   Web of Science ®Google Scholar
• Dungey , M , Fry , R , Gonzalez-Hermosillo , B and Martin , VL . 2005 . Empirical modeling of contagion: A review of methodologies . Quant. Finance , 5 : 9 – 24 .
   Web of Science ®Google Scholar
• Efron , B . 1982 . The Jackknife, the Bootstrap and Other Resampling Plans , Philadelphia , PA : SIAM .
   Google Scholar
• Errunza , V , Losq , E and Padmanabham , P . 1992 . Tests of integration, mild segmentation, and segmentation hypothesis . J. Bank. Finance , 16 : 949 – 972 .
   Web of Science ®Google Scholar
• Fraser , AM and Swinney , HL . 1986 . Independent coordinates for strange attractors from mutual information . Phys. Rev. A , 33 : 1134 – 1140 .
   PubMed Web of Science ®Google Scholar
• Fujisaka , H and Yamada , T . 1983 . Stability theory of synchronized motion in coupled-oscillator systems . Prog. Theor. Phys. , 69 : 32 – 47 .
   Web of Science ®Google Scholar
• Galka , A . 2000 . “ Topics in Nonlinear Time Series Analysis ” . In Advanced Series in Nonlinear Dynamics , Edited by: MacKay , RS . Vol. 14 , Singapore : World Scientific .
   Google Scholar
• Henry , PB . 2000 . Stock market liberalization, economic reform, and emerging market equity prices . J. Finance , 55 : 529 – 564 .
   Web of Science ®Google Scholar
• Hsieh , DA . 1991 . Chaos and nonlinear dynamics: Application to financial markets . J. Finance , 46 : 1839 – 1877 .
   Web of Science ®Google Scholar
• Kaplan , D . 2004 . Math for biomedical engineering: Activities for nonlinear dynamics signal processing , Available online at: http://www.macalester.edu/~kaplan/
   Google Scholar
• Kennel , M , Brown , R and Abarbanel , H . 1992 . Determining embedding dimension for phase-space reconstruction using a geometrical construction . Phys. Rev. A , 45 : 3403 – 3411 .
   PubMed Web of Science ®Google Scholar
• Kugiumtzis , D . 2002 . “ Surrogate data test on time series ” . In Modelling and Forecasting Financial Data: Techniques of Nonlinear Dynamics , Edited by: Soofi , A and Cao , L . 267 – 282 . Boston : Kluwer Academic .
   Google Scholar
• Longin , FM and Solnik , B . 2001 . Extreme correlations of international equity markets . J. Finance , 56 : 649 – 676 .
   Web of Science ®Google Scholar
• Masson , P . 1999 . Contagion: Macroeconomic models with multiple equilibria . J. Int. Money Finance , 18 : 587 – 602 .
   Web of Science ®Google Scholar
• Osborne , A and Provencale , A . 1989 . Finite correlation dimension for stochastic systems with power-law spectra . Physica D , 35 : 357 – 381 .
   Web of Science ®Google Scholar
• Ott , E , So , P , Barreto , E and Antonsen , T . 2002 . The onset of synchronization in systems of globally coupled chaotic and periodic oscillators . Physica D , 173 : 29 – 51 .
   Web of Science ®Google Scholar
• Pecora , LM and Carroll , TL . 1990 . Synchronization in chaotic systems . Phys. Rev. Lett. , 64 : 821 – 824 .
   PubMed Web of Science ®Google Scholar
• Pecora , LM , Carroll , TL and Heagy , JF . 1996 . “ Statistics for continuity and differentiability: An application to attractor reconstruction from time series ” . In Building a Bridge Between the Natural and Statistical Sciences , Edited by: Cutter , C and Kaplan , D . Vol. 11 , 49 – 62 . American Mathematical Society . Field Institute Communications
   Google Scholar
• Pecora , LM , Carroll , T , Johnson , G , Mar , D and Heagy , F . 1997 . Fundamentals of synchronization in chaotic systems, concepts, and applications . Chaos , 7 : 520 – 543 .
   PubMed Web of Science ®Google Scholar
• Pesaran , MH and Pick , A . 2007 . Econometric issues in the analysis of contagion . J. Econ. Dynam. Control , 31 : 1245 – 1277 .
   Web of Science ®Google Scholar
• Phylakis , K and Ravazzolo , F . 2002 . Measuring financial and economic integration with equity prices in emerging markets . J. Int. Money Finance , 21 : 879 – 903 .
   Web of Science ®Google Scholar
• Restrepo , JG , Ott , E and Hunt , BR . 2006 . Emergence of synchronization in complex networks of interacting dynamical systems . Physica D , 224 : 114 – 122 .
   Web of Science ®Google Scholar
• Rulkov , NF , Sushchik , NN , Tsimring , LS and Abarbanel , HDI . 1995 . Generalized synchronization of chaos in directionally coupled chaotic systems . Phys. Rev. E , 51 : 980 – 994 .
   PubMed Web of Science ®Google Scholar
• Sauer , T , Yorke , JA and Casdagli , M . 1991 . Embedology . J. Statist. Phys. , 65 : 579 – 616 .
   Web of Science ®Google Scholar
• Scheinkman , J and LeBaron , B . 1989 . Nonlinear dynamics and stock returns . J. Business , 62 : 311 – 337 .
   Web of Science ®Google Scholar
• Schiff , S , So , P , Chang , T , Burke , RE and Sauer , T . 1996 . Detecting dynamical interdependence and generalized synchrony through mutual prediction in a neural ensemble . Phys. Rev. E , 54 : 6708 – 6724 .
   PubMed Web of Science ®Google Scholar
• Schreiber , T . 1999 . Interdisciplinary application of nonlinear time series methods . Phys. Rep. , 308 : 1 – 64 .
   Google Scholar
• Soofi , A and Cao , L . 2002 . Modelling and Forecasting Financial Data: Techniques of Nonlinear Dynamics , Boston , MA : Kluwer Academic .
   Google Scholar
• Soofi , A and Galka , A . 2003 . Measuring the complexity of currency markets by fractal dimension analysis . Int. J. Theor. Appl. Finance , 6 : 553 – 563 .
   Google Scholar
• Stulz , RM . 1981 . A model of international asset pricing . J. Financial Econ. , 9 : 383 – 406 .
   Web of Science ®Google Scholar
• Takens , F . 1981 . “ Detecting strange attractors in fluid turbulence ” . In Dynamical Systems and Turbulence , Edited by: Rand , DA and Young , LS . Vol. 898 , 366 – 381 . Berlin : Springer . Lecture Notes in Mathematics
   Google Scholar
• Theiler , J , Eubank , S , Longtin , A , Galdrikian , B and Farmer , JD . 1992 . Testing for nonlinearity in time series: The method of surrogate data . Physica D , 58 : 77 – 94 .
   Web of Science ®Google Scholar
• Wolf , A , Swift , JB , Swinney , HL and Vastano , JA . 1985 . Determining Lyapunov exponents from a time series . Physica D , 16 : 285 – 317 .
   Web of Science ®Google Scholar
• Zhu , Q , Lu , L , Wang , S and Soofi , A . 2003 . Causal linkages among Shanghai, Shenzhen, and Hong Kong stock markets . Int. J. Theor. Appl. Finance , 7 : 135 – 149 .
   Google Scholar