The arrow of time, complexity and the scale free analysis

Chaos, Solitons and Fractals

Volumn 28, Issue 3, 2006, Pages 581-589

  Datta, Dhurjati Prasad ^a   Raut, Santanu ^a  

^a UNIVERSITY OF NORTH BENGAL   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DECISION MAKING; DIFFERENTIAL EQUATIONS; LINEAR EQUATIONS; NETWORKS (CIRCUITS); RANDOM PROCESSES; SOLID STATE DEVICES; SPURIOUS SIGNAL NOISE;

COMPLEX STRUCTURES; GROUP DYNAMICS; HEAVY TAILED (HYPERBOLIC) DISTRIBUTIONS; SCALE FREE C2N-1 SOLUTIONS;

COMPUTATIONAL COMPLEXITY;

EID: 27644553547     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.07.012     Document Type: Article

References (21)

1. H.D. Zeh The direction of time 1992 Springer Berlin
2. W.H. Press Comments Astrophys 7 1978 103
3. P. Grigolini, P. Hamilton, J. Roberts, and B.J. West Towards a new vision of complexity Chaos, Solitons & Fractals 20 2004 1 185 [special issue]
4. D.P. Datta A new class of scale free solutions to linear ordinary differential equations and the universality of the Golden Mean 5 - 1 2 = 0.618033... Chaos, Solitons & Fractals 17 2003 621 630
5. D.P. Datta The golden mean, scale free extension of real number system, fuzzy sets and 1/f spectrum in physics and biology Chaos, Solitons & Fractals 17 2003 781
6. D.P. Datta Dynamical real numbers and living systems Chaos, Solitons & Fractals 20 2004 705 712
7. D.P. Datta, and M.K. Bose Higher derivative discontinuous solutions to linear ordinary differential equations: a new route to complexity Chaos, Solitons & Fractals 22 2004 271
8. H. Weiss, and V. Weiss The golden mean as clock cycle of brain wave Chaos, Solitons & Fractals 18 2003 643 652
9. A. Robinson Nonstandard analysis 1966 North-Holland Amsterdam
10. A. Robinson The edge of chaos Phys Rev E 65 2002 036207
11. F. Baldovin, and A. Robledo Universal renormalisation group dynamics at the onset of chaos in logistic maps and nonextensive statistical mechanics Phys Rev E 66 2002 045104R
12. Baldovin F, Robledo A. Exact renormalisation group analytical results for the dynamics at the edge of chaos of the logistic map. LANL preprint archive cond-mat/0304410.
13. R.F. Voss, and J. Clarke Flicker (1/f) noise: equilibrium temperature and resistance fluctuations Phys Rev D 13 1976 556
14. M.S. El Naschie A review of E-infinity theory and the mass spectrum of high energy particle physics Chaos, Solitons & Fractals 19 2004 209 236
15. M.S. El Naschie Time symmetry breaking, duality and Cantorian spacetime Chaos, Solitons & Fractals 7 1996 499
16. Planat M. Class numbers in imaginary quadratic field and the 1/f noise of an electron gas. CNRS (Paris), preprint, 2002.
17. M. Planat 1/f noise, the measurement of time and number theory Fluctuat Noise Lett 1 2001 R56
18. α spectra in four and five dimensions Chaos, Solitons & Fractals 3 1993 489 491
19. Prigogine I. The arrow of time. Available from http://www.icra.it/ Publications/Books/Prigogine/Prigogine_motivation.htm.
20. B.J. West, and W. Deering Fractal physiology for physicists: Levy statistics Phys Rep 246 1994 1
21. S.T. Bramwell, K. Christensen, J.-Y. Fortin, P.C.W. Holdsworth, H.J. Jensen, and S. Lise Phys Rev Lett 84 2000 3744