Table of Contents Author Guidelines Submit a Manuscript
Discrete Dynamics in Nature and Society
Volume 2009, Article ID 378761, 14 pages
http://dx.doi.org/10.1155/2009/378761
Research Article

Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density

Nanyang Technological University, Nanyang Avenue, Singapore 639798

Received 6 February 2009; Accepted 13 October 2009

Academic Editor: Akio Matsumoto

Copyright © 2009 Weihong Huang. 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.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Xiaokai Nie, and Daniel Coca, “Reconstruction of one-dimensional chaotic maps from sequences of probability density functions,” Nonlinear Dynamics, vol. 80, no. 3, pp. 1373–1390, 2015. View at Publisher · View at Google Scholar
  • Xiaokai Nie, and Daniel Coca, “A matrix-based approach to solving the inverse Frobenius-Perron problem using sequences of density functions of stochastically perturbed dynamical systems,” Communications in Nonlinear Science and Numerical Simulation, 2017. View at Publisher · View at Google Scholar
  • Yin Sheng, and Zhigang Zeng, “Passivity and robust passivity of stochastic reaction-diffusion neural networks with time-varying delays,” Journal of the Franklin Institute, 2017. View at Publisher · View at Google Scholar
  • Xiaokai Nie, Mark Birkin, and Jingjing Luo, “A new approach to identification of input-driven dynamical systems from probability densities,” Inverse Problems, vol. 34, no. 8, pp. 085004, 2018. View at Publisher · View at Google Scholar
  • Xiaokai Nie, Jingjing Luo, Daniel Coca, Mark Birkin, and Jing Chen, “Identification of Stochastically Perturbed Autonomous Systems from Temporal Sequences of Probability Density Functions,” Journal of Nonlinear Science, 2018. View at Publisher · View at Google Scholar