About this Journal Submit a Manuscript Table of Contents
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 206201, 9 pages
http://dx.doi.org/10.1155/2013/206201
Research Article

Dynamics Evolution of Credit Risk Contagion in the CRT Market

School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China

Received 3 October 2012; Revised 4 December 2012; Accepted 20 December 2012

Academic Editor: Qingdu Li

Copyright © 2013 Tingqiang Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. O. Gomes, “Routes to chaos in macroeconomic theory,” Journal of Economic Studies, vol. 33, no. 6, pp. 437–468, 2006. View at Publisher · View at Google Scholar · View at Scopus
  2. P. Holmes, “A nonlinear oscillator with a strange attractor,” Philosophical Transactions of the Royal Society of London, vol. 292, no. 1394, pp. 419–448, 1979. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. S. Serrano, R. Barrio, A. Dena, and M. Rodríguez, “Crisis curves in nonlinear business cycles,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 2, pp. 788–794, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  4. B. H. Kim, H. G. Min, and Y. K. Moh, “Nonlinear dynamics in exchange rate deviations from the monetary fundamentals: an empirical study,” Economic Modelling, vol. 27, no. 5, pp. 1167–1177, 2010. View at Publisher · View at Google Scholar · View at Scopus
  5. T. O. Awokuse and D. K. Christopoulos, “Nonlinear dynamics and the exports-output growth nexus,” Economic Modelling, vol. 26, no. 1, pp. 184–190, 2009. View at Publisher · View at Google Scholar · View at Scopus
  6. W. Wu, Z. Chen, and W. H. Ip, “Complex nonlinear dynamics and controlling chaos in a Cournot duopoly economic model,” Nonlinear Analysis: Real World Applications, vol. 11, no. 5, pp. 4363–4377, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. L. F. Petrov, “Nonlinear effects in economic dynamic models,” Nonlinear Analysis: Theory Methods & Applications, vol. 71, no. 12, pp. e2366–e2371, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. B. Liu, Y. Duan, and S. Luan, “Dynamics of an SI epidemic model with external effects in a polluted environment,” Nonlinear Analysis: Real World Applications, vol. 13, no. 1, pp. 27–38, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. S. Reitz and M. P. Taylor, “The coordination channel of foreign exchange intervention: a nonlinear microstructural analysis,” European Economic Review, vol. 52, no. 1, pp. 55–76, 2008. View at Publisher · View at Google Scholar · View at Scopus
  10. B. Xin, J. Ma, and Q. Gao, “The complexity of an investment competition dynamical model with imperfect information in a security market,” Chaos, Solitons & Fractals, vol. 42, no. 4, pp. 2425–2438, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. F. Allen and D. Gale, “Systemic risk and regulation,” Wharton Financial Institutions Center Working Paper No. 95-124, 2005.
  12. F. Allen and E. Carletti, “Credit risk transfer and contagion,” Journal of Monetary Economics, vol. 53, no. 1, pp. 89–111, 2006. View at Publisher · View at Google Scholar · View at Scopus
  13. U. Neyer and F. Heyde, “Credit default swaps and the stability of the banking sector,” International Review of Finance, vol. 10, no. 1, pp. 27–61, 2010. View at Publisher · View at Google Scholar
  14. T. Santos, “Comment on: credit risk transfer and contagion,” Journal of Monetary Economics, vol. 53, no. 1, pp. 113–121, 2006. View at Publisher · View at Google Scholar · View at Scopus
  15. M. E. J. Newman and D. J. Watts, “Scaling and percolation in the small-world network model,” Physical Review E, vol. 60, no. 6, pp. 7332–7342, 1999. View at Scopus
  16. C. F. Moukarzel, “Spreading and shortest paths in systems with sparse long-range connections,” Physical Review E, vol. 60, no. 6, part A, pp. R6263–R6266, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. X. S. Yang, “Chaos in small-world networks,” Physical Review E, vol. 63, no. 4, Article ID 046206, 4 pages, 2001. View at Publisher · View at Google Scholar
  18. S. R. Pastor, A. Vázquez, and A. Vespignani, “Dynamical and correlation properties of the internet,” Physical Review Letters, vol. 87, no. 25, Article ID 258701, 4 pages, 2001. View at Publisher · View at Google Scholar
  19. S. R. Pastor and A. Vespignani, “Epidemic dynamics and endemic states in complex networks,” Physical Review E, vol. 63, no. 6, Article ID 066117, 8 pages, 2001. View at Scopus
  20. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, vol. 42 of Applied Mathematical Sciences, Springer, Berlin, Germany, 1990. View at MathSciNet
  21. L. Torelli, “Stability of numerical methods for delay differential equations,” Journal of Computational and Applied Mathematics, vol. 25, no. 1, pp. 15–26, 1989. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  22. M. Z. Liu and M. N. Spijker, “The stability of the θ-methods in the numerical solution of delay differential equations,” IMA Journal of Numerical Analysis, vol. 10, no. 1, pp. 31–48, 1990. View at Publisher · View at Google Scholar · View at MathSciNet
  23. N. J. Ford and V. Wulf, “The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations,” Journal of Computational and Applied Mathematics, vol. 111, no. 1-2, pp. 153–162, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  24. T. Koto, “Periodic orbits in the Euler method for a class of delay differential equations,” Computers & Mathematics with Applications, vol. 42, no. 12, pp. 1597–1608, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  25. M. Peng, “Bifurcation and chaotic behavior in the Euler method for a Uçar prototype delay model,” Chaos Solitons Fractals, vol. 22, no. 2, pp. 483–493, 2004. View at Publisher · View at Google Scholar
  26. R. Seydel, Practical Bifurcation and Stability Analysis: From Equilibrium to Chaos, Springer, 1999.
  27. D. Rugh, Nonlinear System Theory, The John Hopkins University Press, Baltimore, Md, USA, 1980.
  28. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, vol. 2 of Texts in Applied Mathematics, Springer Academic Press, New York, NY, USA, 1990. View at MathSciNet
  29. J. Kennedy and J. A. Yorke, “Topological horseshoes,” Transactions of the American Mathematical Society, vol. 353, no. 6, pp. 2513–2530, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  30. X.-S. Yang and Y. Tang, “Horseshoes in piecewise continuous maps,” Chaos, Solitons & Fractals, vol. 19, no. 4, pp. 841–845, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  31. Q. Li, “A topological horseshoe in the hyperchaotic Rössler attractor,” Physics Letters A, vol. 372, no. 17, pp. 2989–2994, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  32. Q. Li and X.-S. Yang, “A simple method for finding topological horseshoes,” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 20, no. 2, pp. 467–478, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  33. Q. Li and X.-S. Yang, “New walking dynamics in the simplest passive bipedal walking model,” Applied Mathematical Modelling, vol. 36, no. 11, pp. 5262–5271, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  34. Q. Li and X. Yang, “Two kinds of horseshoes in a hyperchaotic neural network,” International Journal of Bifurcation and Chaos, vol. 22, no. 8, Article ID 1250200, 14 pages, 2012. View at Publisher · View at Google Scholar
  35. K. Tomasz, M. Konstantin, and M. Marian, Computational homology, vol. 157 of Applied Mathematical Sciences, Springer, New York, NY, USA, 2004. View at MathSciNet
  36. T. Csendes, B. M. Garay, and B. Bánhelyi, “A verified optimization technique to locate chaotic regions of Hénon systems,” Journal of Global Optimization, vol. 35, no. 1, pp. 145–160, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  37. S. Sertl and M. Dellnitz, “Global optimization using a dynamical systems approach,” Journal of Global Optimization, vol. 34, no. 4, pp. 569–587, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  38. T. Y. Li and J. A. Yorke, “Period three implies chaos,” The American Mathematical Monthly, vol. 82, no. 10, pp. 985–992, 1975. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet