Horizontal visibility graphs generated by type-I intermittency

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 87, Issue 5, 2013, Pages

  Núñez, Ángel M ^a   Luque, Bartolo ^a   Lacasa, Lucas ^a   Gómez, Jose Patricio ^a   Robledo, Alberto ^b  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREE DISTRIBUTIONS; HORIZONTAL VISIBILITY; HORIZONTAL VISIBILITY GRAPHS; INTERMITTENCY ROUTE; NONTRIVIAL FIXED POINT; PHENOMENOLOGICAL THEORY; RENORMALIZATION GROUP; TANGENT BIFURCATION;

BIFURCATION (MATHEMATICS); GRAPH THEORY; LYAPUNOV METHODS;

FLOW GRAPHS;

ALGORITHM; COMPUTER GRAPHICS; COMPUTER SIMULATION; MATHEMATICAL COMPUTING; NONLINEAR SYSTEM; STATISTICAL MODEL;

ALGORITHMS; COMPUTER GRAPHICS; COMPUTER SIMULATION; MODELS, STATISTICAL; NONLINEAR DYNAMICS; NUMERICAL ANALYSIS, COMPUTER-ASSISTED;

EID: 84877892745     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.87.052801     Document Type: Article

References (32)

1. H. G. Schuster and W. Just, Deterministic Chaos. An Introduction (Wiley-VCH, Weinheim, 2005).
2. J. Maurer and A. Libchaber, J. Physique Lett. JPSLBO 0302-072X 10.1051/jphyslet:019800041021051500 41, 515 (1980).
3. Y. Pomeau, J. C. Roux, A. Rossi, S. Bachelart, and C. Vidal, J. Physique Lett. 0302-072X 10.1051/jphyslet:019810042013027100 42, 271 (1981).
4. P. Bergé, M. Dubois, P. Manneville, and Y. Pomeau, J. Physique Lett. 10.1051/jphyslet:019800041015034100 41, 341 (1980).
5. P. Manneville and Y. Pomeau, Commun. Math. Phys. 0010-3616 10.1007/BF01197757 74, 189 (1980).
6. N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.279 70, 279 (1993).
7. A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.114101 97, 114101 (2006). (Pubitemid 44396703)
8. L. Lacasa, B. Luque, F. Ballesteros, J. Luque, and J. C. Nuño, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0709247105 105, 4972 (2008). (Pubitemid 351738493)
9. B. Luque, L. Lacasa, F. Ballesteros, and J. Luque, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.046103 80, 046103 (2009).
10. A. Nuñez, L. Lacasa, J. P. Gomez, and B. Luque, in New Frontiers in Graph Theory, edited by, Y. Zhang, (InTech, New York, USA, 2012).
11. J. Zhang and M. Small, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.238701 96, 238701 (2006).
12. F. Kyriakopoulos and S. Thurner, Lect. Notes in Comput. Sci. 0302-9743 10.1007/978-3-540-72586-2-91 4488, 625 (2007).
13. X. Xu, J. Zhang, and M. Small, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0806082105 105, 19601 (2008).
14. R. V. Donner, Y. Zou, J. F. Donges, N. Marwan, and J. Kurths, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/3/033025 12, 033025 (2010).
15. R. V. Donner, Int. J. Bif. Chaos 21, 1019 (2010).
16. R. V. Donner, Eur. Phys. J. B 1434-6028 10.1140/epjb/e2011-10899-1 84, 653 (2011).
17. A. S. L. O. Campanharo, M. I. Sirer, R. D. Malmgren, F. M. Ramos, and L. A. N. Amaral, PLoS ONE 1932-6203 10.1371/journal.pone.0023378 6, e23378 (2011).
18. L. Lacasa and R. Toral, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.036120 82, 036120 (2010).
19. L. Lacasa, A. Núñez, É. Roldán, J. M. R. Parrondo, and B. Luque, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2012- 20809-8 85, 217 (2012).
20. L. Lacasa, B. Luque, J. Luque, and J. C. Nuño, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/86/30001 86, 30001 (2009).
21. J. B. Elsner, T. H. Jagger, and E. A. Fogarty, Geophys. Res. Lett. GPRLAJ 0094-8276 10.1029/2009GL039129 36, L16702 (2009).
22. L. Telesca and M. Lovallo, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/97/50002 97, 5 (2012).
23. R. V. Donner and J. F. Donges, Acta Geophys. Pol. 1895-6572 10.2478/s11600-012-0032-x 60, 589 (2012).
24. B. Luque, L. Lacasa, F. Ballesteros, and A. Robledo, PLoS ONE 1932-6203 10.1371/journal.pone.0022411 6, e22411 (2011).
25. B. Luque, L. Lacasa, F. Ballesteros, and A. Robledo, Chaos CHAOEH 1054-1500 10.1063/1.3676686 22, 013109 (2012).
26. B. Luque, A. Núñez, F. Ballesteros, and A. Robledo, J. Nonlinear Sci. 0938-8974 10.1007/s00332-012-9153-2 23, 335 (2013).
27. B. Luque, L. Lacasa, and A. Robledo, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2012.10.050 376, 3625 (2012).
28. A. Nuñez, L. Lacasa, E. Luque, J. P. Gómez, and B. Luque, Int. J. Bif. Chaos 0218-1274 10.1142/S021812741250160X 22, 1250160 (2012).
29. C. M. Kim, O. J. Kwon, E. K. Lee, and H. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.525 73, 525 (1994).
30. A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, A. A. Ovchinikov, and S. Bocaletti, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.026206 76, 026206 (2007). (Pubitemid 47253914)
31. K. Karamanos and G. Nicolis, Chaos Solitons Fractals CSFOEH 0960-0779 10.1016/S0960-0779(98)00095-2 10, 7 (1999).
32. A. Robledo, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.83.2289 83, 2289 (1999).