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Statistical complexity of the quasiperiodical damped systems Cover

Statistical complexity of the quasiperiodical damped systems

Acta Universitatis Sapientiae, Informatica
Volume 10 (2018): Issue 2 (December 2018)
By: Ágnes Fülöp  
Open Access
|Dec 2018

References

  1. [1] C. Adami, N.T. Cerf, Physical complexity of symbolic sequences, Physica D137 (2000) 62–69. ⇒24210.1016/S0167-2789(99)00179-7
    Search in Google ScholarBack to article
  2. [2] A. Aiello, A. Barone, G. A. Ovsyannikov, Influence of nonlinear conductance and cos ϕ term on the onset of chaos in Josephson junctions, Phys. Rev. B30 (1984) 456. ⇒24910.1103/PhysRevB.30.456
    Search in Google ScholarBack to article
  3. [3] C. Anteneodo, A.R. Plastino, Some features of the Lpez-Ruiz-Manchini-Calbet (LMC) statistical measure of complexity, Physics Letters A223 (1996) 348–354. ⇒24310.1016/S0375-9601(96)00756-6
    Search in Google ScholarBack to article
  4. [4] M. Basseville, Information: Entropies, Divergences et Mayennes, (IRISA) Publication Interne 1020 (1996) (Campus Universitaire de Beaulieu, 35042 Rennes Cedex, France). ⇒247
    Search in Google ScholarBack to article
  5. [5] T. Bhor, P. Bak, M. H. Jensen, Transition to chaos by interaction of resonances in dissipative systems. II. Josephson junctions, charge-density waves, and standard maps, Phys. Rev. A30 (1984) 1970. ⇒24910.1103/PhysRevA.30.1970
    Search in Google ScholarBack to article
  6. [6] G. Boffetta, M. Cencini, M. Falcioni, A. Vulpiani, Predictability: a way to characterize complexity, Phys. Reports356(2002) 367–474. ⇒24110.1016/S0370-1573(01)00025-4
    Search in Google ScholarBack to article
  7. [7] X. Calbet, R. López-Ruiz, Tendency towards maximum complexity in a nonequlibrium isolated system, Phys. Rev. E63 066116. ⇒24310.1103/PhysRevE.63.066116
    Search in Google ScholarBack to article
  8. [8] J. P. Crutchfield, K. Young, Inferring statistical complexity, Phys. Rev. Lett.63 (1989) 105. ⇒24110.1103/PhysRevLett.63.105
    Search in Google ScholarBack to article
  9. [9] G.L. Ferri, F. Pennini, A. Plastino, LMC-complexity and various chaotic regime, Physics Letters A373 (2009) 2210–2214. ⇒24210.1016/j.physleta.2009.04.062
    Search in Google ScholarBack to article
  10. [10]Á. Fülöp, Estimation of the Kolmogorov entropy in the generalized number system, Annales Univ. Sci. Budap est Sect. Comp.40 (2013) 245–256. ⇒243
    Search in Google ScholarBack to article
  11. [11]Á. Fülöp, Statistical complexity and generalized number system, Acta Univ. Sapientiae, Informatica6 (2) (2014) 230–251, ⇒24210.1515/ausi-2015-0006
    Search in Google ScholarBack to article
  12. [12] C.M. Gonzalez, H.A Larrondo, O.A. Rosso,Statistical complexity measure of pseudorandom bit generators, Physica A354 (2005) 281. ⇒24210.1016/j.physa.2005.02.054
    Search in Google ScholarBack to article
  13. [13] P. Grassberger, Toward a Quantitative Theory of Self-Generated Complexity, Int. Journ. Theor. Phys.25 (1988) 907–938. ⇒242, 24310.1007/BF00668821
    Search in Google ScholarBack to article
  14. [14] D-R. He, W. J. Yeh, Y. H. Kao,Transition from quasiperiodicity to chaos in a Josephson-junction analog, Phys.Rev.B 30 (1984) 172. ⇒24910.1103/PhysRevB.30.172
    Search in Google ScholarBack to article
  15. [15] G. A. Held, C. Jeffries, Quasiperiodic Transitions to Chaos of Instabilities in an Electron-Hole Plasma Excited by ac Perturbations at One and at Two Frequencies, Phys. Rev. Lett.56 (1986) 1183. ⇒24910.1103/PhysRevLett.56.1183
    Search in Google ScholarBack to article
  16. [16] I-A. Khovanov, N-A. Khovanova, P-V-E. McClintock,V-S. Anishchenko, The effect of noise on the strange nonchaotic attractors, Phys. Lett. A268 (2000) 315–322. ⇒25010.1016/S0375-9601(00)00183-3
    Search in Google ScholarBack to article
  17. [17] A.N. Kolmogorov, Entropy per unit time as a metric invariant of automorphism, Doklady of Russian Academy of Sciences, 124 (1959) 754–755. ⇒241
    Search in Google ScholarBack to article
  18. [18] A-M. Kowalski, M-T. Martin, A. Plastino, O-A. Rosso, M. Casas, Distances in Probability space and the statistical complexity setup, Entropy13 (2011) 1055–1075. ⇒24310.3390/e13061055
    Search in Google ScholarBack to article
  19. [19] Y-C. Lai, U. Feudel, C. Grebogi, Scaling behaviour of transition to chaos in quasiperiodically driven dynamical systems Phys. Rev. E, 54 (6) (1996) 6070–6073. ⇒242, 25010.1103/PhysRevE.54.6070
    Search in Google ScholarBack to article
  20. [20] Y-C. Lai, C. Grebogi, Intermingled basins and two-state on-off intermittency, Phys. Rev. E52 (4) (1995) R3313–R3316. ⇒24210.1103/PhysRevE.52.R3313
    Search in Google ScholarBack to article
  21. [21] P.T. Landsberg, J.S. Shiner, Disorder and complexity in an ideal non-equilibrium Fermi gas, Phys. Lett. A245 (1998) 228. ⇒24610.1016/S0375-9601(98)00361-2
    Search in Google ScholarBack to article
  22. [22] A. Lempel, J. Ziv On the complexity of finite sequences, IEEE Trans. Inform Theory22 (1976) 75–81. ⇒24110.1109/TIT.1976.1055501
    Search in Google ScholarBack to article
  23. [23] R. López-Ruiz, H.L. Mancini, X. Calbet, A statistical measure of complexity, Phys. Letters A209 (1995) 321–326. ⇒242, 243, 24510.1016/0375-9601(95)00867-5
    Search in Google ScholarBack to article
  24. [24] M. Lovallo, V. Lapenna, L. Telesca, Transitionmatrix analysis of earthquake magnitude sequences Chaos,Soliton and Fractals24 (1) (2005) 33–43. ⇒24210.1016/S0960-0779(04)00469-2
    Search in Google ScholarBack to article
  25. [25] M.T. Martin, A. Plastino, O.A. Rosso, Statistical complexity and disequilibrium, Physics Letters A311 (2003) 126–132. ⇒24310.1016/S0375-9601(03)00491-2
    Search in Google ScholarBack to article
  26. [26] M-T. Martin, A. Plastino, O.A. Rosso, Generalized statistical complexity measures: Geometrical and analytical properties, Physica A369 (2006) 439–462. ⇒243, 24610.1016/j.physa.2005.11.053
    Search in Google ScholarBack to article
  27. [27] N. Platt, E-A. Spiegel, C. Tresser, On-off intermittency: a mechanism for bursting, Phys. Rev. Lett.70 (3) (1993) 279–282. ⇒25010.1103/PhysRevLett.70.279
    Search in Google ScholarBack to article
  28. [28] A. Rényi, Probability Theory (Akadémia Kiadó, Budapest 1970). ⇒246
    Search in Google ScholarBack to article
  29. [29] F. J. Romeiras, A. Bondenson, E. Ott, T. M. Antonsen, C. Grebogi, Quasi-Periodically forced dynamic-systems with strange nonchaotic attractors Physica D26 (1987) 277. ⇒24910.1016/0167-2789(87)90229-6
    Search in Google ScholarBack to article
  30. [30] F.J. Romeiras, C. Grebogi, E. Ott, Multifractal properties of snapshot attractors of random maps, Phys. Rev A41 (2) (1990) 784–799. ⇒24210.1103/PhysRevA.41.784
    Search in Google ScholarBack to article
  31. [31] F-J. Romeiras. E. Ott, Strange nonchaotic attractors of the damped pendulum with quasiperiodic forcing, Phys. Rev. A35 (10) (1987)4404–4413. ⇒24910.1103/PhysRevA.35.4404
    Search in Google ScholarBack to article
  32. [32] P.T. Saunders, and M.W. Ho, On the increase in complexity in Evolution II. The relativity of complexity and the principle of minimum increase, Journ. of Theor. Biol.90 (1981) 515. ⇒24210.1016/0022-5193(81)90303-9
    Search in Google ScholarBack to article
  33. [33] C.E. Shannon, The Mathematical Theory of Communication, Bell System Technical Journal, 27 (1948) 379-423, 623–656. ⇒24410.1002/j.1538-7305.1948.tb00917.x
    Search in Google ScholarBack to article
  34. [34] J-S. Shiner, M. Davison, P-T. Landsberg, Simple measure for complexity, Phys. Rev. E59(2)(1999)1459–1464. ⇒24810.1103/PhysRevE.59.1459
    Search in Google ScholarBack to article
  35. [35] C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics, J. Stat. Phys.52 (1988) 479. ⇒24610.1007/BF01016429
    Search in Google ScholarBack to article
  36. [36] W.K. Wooters, Statistical distance and Hilbert space, Phys. Rev. D23 (1981) 357. ⇒24710.1103/PhysRevD.23.357
    Search in Google ScholarBack to article
DOI: https://doi.org/10.2478/ausi-2018-0012 | Journal eISSN: 2066-7760
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Language: English
Page range: 241 - 256
Submitted on: Nov 2, 2018
|
Published on: Dec 31, 2018
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
statistical complexity,
Shannon entropy,
chaos,
snapshot attractor,
on-off intermittency
Related subjects:
Computer sciences,
Computer sciences, other

© 2018 Ágnes Fülöp, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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