Clustering of extreme and recurrent events in deterministic chaotic systems

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

Volumn 84, Issue 1, 2011, Pages

  Schweigler, Thomas ^a   Davidsen, Jörn ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EXTREME EVENTS; HAZARD ASSESSMENT; IDENTICALLY DISTRIBUTED RANDOM VARIABLES; LONG RANGE CORRELATIONS; RECURRENT EVENTS; RETURN-TIMES; SHARP CONTRAST; TIME-DEPENDENT;

RANDOM PROCESSES; RANDOM VARIABLES;

CHAOTIC SYSTEMS;

EID: 79961114978     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.016202     Document Type: Article

References (32)

1. The Science of Disasters: Climate Disruptions, Heart Attacks and Market Crashes, edited by, A. Bunde, J. Kropp, and, H. J. Schellnhuber, (Springer, Berlin, 2002).
2. Extreme Events in Nature and Society, edited by, S. Albeverio, V. Jentsch, and, H. Kantz, (Springer, Berlin, 2006).
3. P. Embrechts, C. Klüppelberg, and T. Mikosch, Modelling Extremal Events for Insurance and Finance (Springer, Berlin, 2004).
4. S. Coles, An Introduction to Statistical Modeling of Extreme Values (Springer, New York, 2001).
5. L. de Haan and A. Ferreira, Extreme Value Theory: An Introduction (Springer, New York, 2006).
6. M. R. Leadbetter, G. Lindgren, and H. Rootzen, Extremes and Related Properties of Random Sequences and Processes (Springer, New York, 1983).
7. M. R. Leadbetter and H. Rootzén, Ann. Probab. APBYAE 0091-1798 10.1214/aop/1176991767 16, 431 (1988).
8. D. R. Cox and V. Isham, Point Processes (Chapman and Hall, London, 1980).
9. J. Davidsen and H. G. Schuster, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.026120 65, 026120 (2002). (Pubitemid 40619453)
10. J. Davidsen and C. Goltz, Geophys. Res. Lett. GPRLAJ 0094-8276 10.1029/2004GL020892 31, L21612 (2004). (Pubitemid 40190973)
11. A. Corral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 108501 92, 108501 (2004).
12. J. Davidsen, S. Stanchits, and G. Dresen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.125502 98, 125502 (2007). (Pubitemid 46486621)
13. M. Baiesi, M. Paczuski, and A. L. Stella, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.051103 96, 051103 (2006). (Pubitemid 43270966)
14. A. Bunde, J. F. Eichner, J. W. Kantelhardt, and S. Havlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.048701 94, 048701 (2005). (Pubitemid 40607263)
15. A. Vázquez, J. a. G. Oliveira, Z. Dezsö, K. I. Goh, I. Kondor, and A.-L. Barabási, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.036127 73, 036127 (2006).
16. E. G. Altmann and H. Kantz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.056106 71, 056106 (2005). (Pubitemid 41480994)
17. J. F. Eichner, J. W. Kantelhardt, A. Bunde, and S. Havlin, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.011128 75, 011128 (2007). (Pubitemid 46174728)
18. N. R. Moloney and J. Davidsen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.041131 79, 041131 (2009).
19. B. Kaulakys and M. Alaburda, J. Stat. Mech. PRLTAO 1742-5468 10.1088/1742-5468/2009/02/P02051 (2009) P02051.
20. A. Corral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 028501 95, 028501 (2005). (Pubitemid 41506360)
21. P. Olla, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.011122 76, 011122 (2007). (Pubitemid 47187044)
22. D. Sornette, S. Utkin, and A. Saichev, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.066109 77, 066109 (2008).
23. M. S. Santhanam and H. Kantz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.051113 78, 051113 (2008).
24. C. Nicolis, V. Balakrishnan, and G. Nicolis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.210602 97, 210602 (2006). (Pubitemid 44791128)
25. C. Nicolis and S. C. Nicolis, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/80/40003 80, 40003 (2007).
26. K. T. Alligood, T. D. Sauer, and J. A. Yorke, Chaos: An Introduction to Dynamical Systems (Springer, New York, 1996).
27. V. Balakrishnan, G. Nicolis, and C. Nicolis, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02180204 86, 191 (1997).
28. C. Nicolis and G. Nicolis, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.061119 80, 061119 (2009).
29. V. Balakrishnan and M. Theunissen, Stochastics and Dynamics JSTPBS 0219-4937 10.1142/S0219493701000151 1, 339 (2001).
30. P. Collet and A. Galves, Dynamical Systems and Applications, World Sci. Ser. Appl. Anal. 4, 139 (1995).
31. Z. Coelho, Summer School on Symbolic Dynamics, Temuco, Chile, 1997.
32. X. Bressaud and R. Zweimüller, Ann. Henri Poincaré JSTPBS 1424-0637 10.1007/PL00001042 2, 501 (2001).