Symbolic local information transfer

European Physical Journal: Special Topics

Volumn 222, Issue 2, 2013, Pages 437-455

  Nakajima, K ^a,b   Haruna, T ^c  

^a UNIVERSITY OF ZURICH   (Switzerland)

^b ETH ZURICH   (Switzerland)

^c KOBE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84879703297     PISSN: 19516355     EISSN: 19516401     Source Type: Journal    
DOI: 10.1140/epjst/e2013-01851-x     Document Type: Article

References (47)

1. S. Wolfram, A New Kind of Science (Wolfram Media Inc, 2002).
2. C. Langton, Physica D 42, 12 (1990).
3. P. Bak, How Nature Works: The Science of Self-Organised Criticality (Copernicus Press, 1996).
4. S. Kauffman, Origins of Order: Self-Organization and Selection in Evolution (Oxford University Press, 1993).
5. K. Kaneko, I. Tsuda, Complex Systems: Chaos and Beyond, A Constructive Approach with Applications in Life Sciences (Springer, 2000).
6. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Dover Publications, 2003).
7. B. Luque, A. Ferrera, Complex Syst. 12, 241 (2000).
8. K. Kaneko, Physica D 23, 436 (1986).
9. T. Schreiber, J. Phys. A 23, L393 (1990).
10. D. P. Feldman, C. S. McTague, J. P. Crutchfield, CHAOS 18, 043106 (2008).
11. J. T. Lizier, The Local Information Dynamics of Distributed Computation in Complex Systems (Springer-Verlag, 2012).
12. J. T. Lizier, M. Prokopenko, A. Y. Zomaya, Information Sciences 208, 39 (2012).
13. J. T. Lizier, M. Prokopenko, A. Y. Zomaya, Phys. Rev. E 77, 026110 (2008).
14. J. T. Lizier, M. Prokopenko, A. Y. Zomaya, CHAOS 20, 037109 (2010).
15. T. Schreiber, Phys. Rev. Lett. 85, 461 (2000).
16. C. Bandt, B. Pompe, Phys. Rev. Lett. 88, 174102 (2002).
17. J. M. Amigó, Permutation Complexity in Dynamical Systems (Springer-Verlag, Berlin, Heidelberg, 2010).
18. J. M. Amigó, M. B. Kennel, L. Kocarev, Physica D 2010, 77 (2005).
19. T. Haruna, K. Nakajima, Physica D 240, 1370 (2011).
20. J. M. Amigó, Physica D 241, 789 (2012).
21. C. Bandt, G. Keller, B. Pompe, Nonlinearity 15, 1595 (2002).
22. K. Keller, A. M. Unakafov, V. A. Unakafova, Physica D 241, 1477 (2012).
23. Y. Cao, W. W. Tung, J. B. Gao, V. A. Protopopescu, L. M. Hively, Phys. Rev. E 70, 046217 (2004).
24. O. A. Rosso, H. A. Larrondo, M. T. Martin, A. Plastino, M. A. Fuentes, Phys. Rev. Lett. 99, 154102 (2007).
25. A. Bahraminasab, F. Ghasemi, A. Stefanovska, P. V. E. McClintock, H. Kantz, Physical Review Letters 100, 084101 (2008).
26. T. Haruna, K. Nakajima [arXiv: 1112. 2491v1] (2011).
27. T. Haruna, K. Nakajima [arXiv: 1112. 2493v2] (2011).
28. J. M. Amigó, M. B. Kennel, Physica D 231, 137 (2007).
29. L. Zunino, D. G. Perez, A. Kowalski, M. T. Martín, M. Garavaglia, A. Plastino, O. A. Rosso, Physica A 387, 6057 (2008).
30. H. V. Ribeiro, L. Zunino, E. K. Lenzi, P. A. Santoro, R. S. Mendes, PLoS ONE 7, e40689 (2012).
31. J. M. Amigó, S. Zambrano, M. A. F. Sanjuán, EPL 90, 10007 (2010).
32. T. M. Cover, J. A. Thomas, Elements of Information Theory (John Wiley Sons, New York, 1991).
33. B. Pompe, J. Runge, Phys. Rev. E 83, 051122 (2011).
34. H. Marko, IEEE Trans. Commun. 21, 1345 (1973).
35. P. O. Amblard, O. J. J. Michel, J. Comput. Neurosci. 30, 7 (2011).
36. P. O. Amblard, O. J. J. Michel [arXiv: 0911. 2873v4] (2011).
37. K. H. Schindler, M. Paluš, M. Vejmelka, J. Bhattacharya, Phys. Rep. 441, 1 (2007).
38. M. Staniek, K. Lehnertz, Phys. Rev. Lett. 100, 158101 (2008).
39. D. Kugiumtzis, J. Nonlinear Syst. Appl. 3, 73 (2012).
40. T. Haruna, K. Nakajima [arXiv: 1204. 1821v2] (2012).
41. J. T. Lizier, M. Prokopenko, Eur. Phys. J. B 73, 605 (2010).
42. K. Kaneko, Prog. Theor. Phys. 72, 480 (1984).
43. K. Kaneko, Physica D 34, 1 (1989).
44. P. Bak, K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993).
45. H. Flyvbjerg, K. Sneppen, P. Bak, Phys. Rev. Lett. 71, 4087 (1993).
46. N. Otsu, IEEE Trans. Syst. Man. Cybern. 9, 62 (1979).
47. K. Sneppen, Physica A 221, 168 (1995).