Directed network representation of discrete dynamical maps

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4488 LNCS, Issue PART 2, 2007, Pages 625-632

  Kyriakopoulos, Fragiskos ^a,b   Thurner, Stefan ^a  

^a MEDICAL UNIVERSITY OF VIENNA   (Austria)

^b JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

Diameter; Dynamical maps; Network; Node

Indexed keywords

DYNAMICAL SYSTEMS; LYAPUNOV FUNCTIONS; NUMERICAL METHODS;

DYNAMICAL MAPS; NETWORK REPRESENTATION;

COMPUTER NETWORKS;

EID: 38049162394     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-72586-2_91     Document Type: Conference Paper

References (9)

1. A. Robledo: Critical attractors and q-statistics. Europhysics News 6 (2005) 214-218
2. S. Dorogovtsev, J.F.F. Mendes: Evolution of Networks. Oxford University Press (2003)
3. A.-L. Barabási: Statistical mechanics of complex networks. Rev. Mod. Phys. 74 (2002) 47
4. G. Froyland, O. Junge, G. Ochs: Rigorous computation of topological entropy with respect to a finite partition. Physica D 154 (2001) 68-84
5. A. Shreim, P. Grassberger, W. Nadler, B. Samuelsson, J.E.S. Socolar, M. Paczuski: Network analysis of the state space of discrete dynamical systems, condmat/0610447 (2006)
6. S. Thurner: Nonextensive statistical mechanics and complex scale-free networks. Europhysics News 8 (2005) 218-220
7. E.P. Borges, D.O. Cajueiro, R.F.S. Andrade: Mapping dynamical systems onto complex networks, cond-mat/0610820 (2006)
8. S.M. Park, B. J. Kim: Dynamic behaviors in directed networks. Phys. Rev. E 74 (2006) 026114
9. R.W. Floyd: Algorithm 97: Shortest Path. Communications of the ACM 5 (1962) 345