Network representation of dynamical systems: Connectivity patterns, information and predictability

Communications in Nonlinear Science and Numerical Simulation

Volumn 18, Issue 8, 2013, Pages 2018-2034

  Garcia Cantu Ros A ^a   Forti, G ^b   Nicolis, G ^c  

^a POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

^b UNIVERSITY OF MILAN   (Italy)

^c UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

Chaos; Information; Networks; Predictability

Indexed keywords

INFORMATION SERVICES; MARKOV PROCESSES;

COARSE-GRAINED; CONNECTIVITY PATTERN; HORIZON OF PREDICTABILITIES; INFORMATION; NETWORK; NETWORK REPRESENTATION; NETWORK TRANSITION; PATTERN INFORMATION; PREDICTABILITY; SYSTEM CONNECTIVITY;

DYNAMICAL SYSTEMS;

EID: 84875272782     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2012.11.007     Document Type: Article

References (18)

1. Albert R., Barabasi A. Rev Mod Phys 2002, 74:47-97.
2. Schnakenberg J. Rev Mod Phys 1976, 48:571-585.
3. Donner R.V., et al. New J Phys 2010, 12:033025.
4. Nicolis G., Garci{dotless}́a Cantú A., Nicolis C. Int J Bifurcation 2005, 15:3467-3480.
5. Padberg K., et al. Commun Nonlinear Sci Numer Simul 2009, 14:4176-4190.
6. Nicolis G., Nicolis C. Foundations of complex systems: nonlinear dynamic statistical physics information and prediction 2007, World Scientific Publishing Co., Singapore.
7. Garci{dotless}́a Cantú Ros A. Ph.D. thesis, Université Libre de Bruxelles, 2007.
8. Martinez S., Nicolis G., Tirapegui E. Chaos Solitons Fractals 1991, 1:25-37.
9. Lasota A., Mackey M. Probabilistic properties of deterministic systems 1985, Cambridge University Press, Cambridge.
10. Mc Kernan D., Nicolis G. Phys Rev E 1994, 50:988-999.
11. Balakrishnan V., Nicolis G., Nicolis C. J Stat Phys 1997, 86:191-212.
12. Pesin Y. Dimension theory in dynamical systems. Contemporary views and applications. Chicago lectures in mathematics 1997, University of Chicago Press, Chicago.
13. Khinchine A. Mathematical foundation of information theory 1957, Dover Press, New York.
14. Ebeling W., Nicolis G. Europhys Lett 1991, 14:191-196.
15. Watts D., Strogatz S. Nature 1998, 393:409-410.
16. Bunde A., Havlin S. Fractals in science 1995, Springer Verlag, Berlin.
17. Ebeling W., Poeschel T. Europhys Lett 1994, 26(2):241.
18. Takens F. Detecting strange attractors in turbulence. Lecture notes in mathematics 1981, vol. 898:366-381. Springer, Berlin.