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Complexity and synchronization in stochastic chaotic systems

Publication ,  Journal Article
Dang, TS; Palit, SK; Mukherjee, S; Hoang, TM; Banerjee, S
Published in: European Physical Journal: Special Topics
February 1, 2016

We investigate the complexity of a hyperchaotic dynamical system perturbed by noise and various nonlinear speech and music signals. The complexity is measured by the weighted recurrence entropy of the hyperchaotic and stochastic systems. The synchronization phenomenon between two stochastic systems with complex coupling is also investigated. These criteria are tested on chaotic and perturbed systems by mean conditional recurrence and normalized synchronization error. Numerical results including surface plots, normalized synchronization errors, complexity variations etc show the effectiveness of the proposed analysis.

Duke Scholars

Published In

European Physical Journal: Special Topics

DOI

EISSN

1951-6401

ISSN

1951-6355

Publication Date

February 1, 2016

Volume

225

Issue

1

Start / End Page

159 / 170

Related Subject Headings

  • Fluids & Plasmas
  • Applied Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Dang, T. S., Palit, S. K., Mukherjee, S., Hoang, T. M., & Banerjee, S. (2016). Complexity and synchronization in stochastic chaotic systems. European Physical Journal: Special Topics, 225(1), 159–170. https://doi.org/10.1140/epjst/e2016-02616-9
Dang, T. S., S. K. Palit, S. Mukherjee, T. M. Hoang, and S. Banerjee. “Complexity and synchronization in stochastic chaotic systems.” European Physical Journal: Special Topics 225, no. 1 (February 1, 2016): 159–70. https://doi.org/10.1140/epjst/e2016-02616-9.
Dang TS, Palit SK, Mukherjee S, Hoang TM, Banerjee S. Complexity and synchronization in stochastic chaotic systems. European Physical Journal: Special Topics. 2016 Feb 1;225(1):159–70.
Dang, T. S., et al. “Complexity and synchronization in stochastic chaotic systems.” European Physical Journal: Special Topics, vol. 225, no. 1, Feb. 2016, pp. 159–70. Scopus, doi:10.1140/epjst/e2016-02616-9.
Dang TS, Palit SK, Mukherjee S, Hoang TM, Banerjee S. Complexity and synchronization in stochastic chaotic systems. European Physical Journal: Special Topics. 2016 Feb 1;225(1):159–170.
Journal cover image

Published In

European Physical Journal: Special Topics

DOI

EISSN

1951-6401

ISSN

1951-6355

Publication Date

February 1, 2016

Volume

225

Issue

1

Start / End Page

159 / 170

Related Subject Headings

  • Fluids & Plasmas
  • Applied Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences