Complex systems

AIChE Journal

Volumn 49, Issue 2, 2003, Pages 292-299

  Ottino, J M ^a  

^a Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; CHAOTIC DYNAMICS; CHEMICAL ENGINEERING; CURRICULUM; DATA ANALYSIS; DYNAMICS; MASS MEDIUM; MATHEMATICAL ANALYSIS; MOLECULAR MODEL; MOTION; NONLINEAR SYSTEM; PROBABILITY; RESEARCH; REVIEW; SIMULATION; THEORETICAL MODEL;

EID: 0037323564     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690490202     Document Type: Review

References (57)

1. Adamic, L. A., R. M. Lukose, A. R. Puniyani, and B. A. Huberman, "Search in Power-Law Networks," Phys. Rev. E, 64, 046135 (2001).
2. Albert, R., and A.-L. Barabási, "Statistical Mechanics of Complex Networks," Rev. of Modern Physics, 74, 47 (2002).
3. Albert, R., H. Jeong, and A.-L. Barabási, "Diameter of the World Wide Web," Nature, 401, 130 (1999).
4. Amaral, L. A. N., A. Scala, M. Barthélémy, and H. E. Stanley, "Classes of Small-World Networks," Proc. Nat. Ac. Sci USA, 97, 11149 (2000).
5. Aref, H., "Integrable, Chaotic, and Turbulent Vortex Motion in Two-Dimensional Flows," Ann. Rev. of Fluid Mech., 15, 345 (1983).
6. Aubin, D., and A. D. Dalmedico, "Writing the History of Dynamical Systems and Chaos: Longue Durée and Revolution, Disciplines and Cultures," Historia Mathematica, 29, 273 (2002).
7. Baker, G. L., and J. P. Gollub, Chaotic Dynamics: An Introduction, Cambridge University Press, Cambridge, U.K. (1990)
8. Barabási, A.-L., and R. Albert, "Emergence of Scaling in Random Networks," Science, 286, 509 (2001).
9. Barabási, A.-L., Linked: The New Science of Networks, Perseus Publishing, Cambridge (2002).
10. Barthélémy, M., and L. A. N. Amaral, "Small-World Networks: Evidence for a Crossover Picture," Phys. Rev. Lett., 82, 3180 (1999).
11. Bonabeau, E., M. Dorigo, and G. Theraulz, "Inspiration for Optimization from Social Insect Behaviour," Nature, 406, 39 (2000)
12. Buchanan, M., Nexus: Small Worlds and the Groundbreaking Science of Networks, Norton, New York (2002).
13. Buminovich, L. A., "On Ergodic Properties of Some Billiards," Funct. Anal. Appl., 8, 254, (1974).
14. Camacho, J., R. Guimerà, and L. A. N. Amaral, "Robust Patterns in Food Web Structure," Phys. Rev. Lett., 88, 228102 (2002).
15. Davis, K. E., W. B. Russel, and W. J. Glantsching, "Disorder-to-order Transition in Settling Suspensions of Colloidal Silica - X-ray Measurements," Science, 245, 507 (1989).
16. Désérable, D., "A Versatile Two-Dimensional Cellular Automata Network for Granular Flow," SIAM J. Appl. Math., 62, 1414 (2002).
17. Epstein, J. M., and R. L. Axtell, Growing Artificial Societies: Social Science from the Bottom Up, Brookings/MIT Press, Cambridge, MA (1996).
18. Faloutsos, M., P. Faloutsos, and Ch. Faloutsos, "On Power-law Relationships of the Internet Topology," ACM SIGCOMM'99, 251 (1999).
19. Fell, D. A., and A. Wagner, "The Small World of Metabolism," Nature Biotechnology, 18, 1121 (2000).
20. Frenkel, D., "Playing Tricks with Designer 'Atoms'," Science, 298, 65 (2002)
21. Gleiss, P. M.; P. F. Stadler, and A. Wagner, "Relevant Cycles in Chemical Reaction Networks," Adv. Complex Systems, 1, 1 (2001).
22. Grzybowski, B. A., and G. M. Whitesides, "Three-Dimensional Dynamic Self-Assembly of Spinning Magnetic Disks: Vortex Crystals," J. Phys. Chem. B, 106(6), 1188 (2002).
23. Grzybowski, B. A., H. A. Stone, and G. M. Whitesides, "Dynamic Self-Assembly of Magnetized, Millimeter-Sized Objects Rotating at a Liquid-Air Interface," Nature, 405, 1033 (2000).
24. Hatzimanikatis, V., "Bioinformatics and Functional Genomics: Challenges and Opportunities," AIChE J., 46, 2340 (2000).
25. Hill, K. M., D. V. Khakhar, J. F. Gilchrist, J. J. McCarthy, and J. M. Ottino, "Segregation-Driven Organization in Chaotic Granular Flows," Proc. of National Acad. of Sci., 96, 11701 (1999)
26. Horgan, J., "From Complexity to Perplexity," Scientific American, 74 (June, 1995).
27. Huberman, B. A., and L. A. Adamic, "Internet-Growth Dynamics of the World-Wide Web," Nature, 401, 131 (1999).
28. Jeong, H., B. Tombor, R. Albert, Z. N. Oltvai, and A. L. Barabási, "The Large-Scale Organization of Metabolic Networks," Nature, 407, 651 (2000).
29. Jeong, H., S. P. Mason, A.-L. Barabási, and Z. N. Oltvai, "Lethality and Centrality in Protein Networks," Nature, 411, 41 (2001).
30. Kauffman, S. A., The Origins of Order: Self-Organization and Selection in Evolution, Oxford University Press, Oxford (1993).
31. Kleinberg, J. M., "Navigation in a Small World - It Is Easier to Find Short Chains Between Points in Some Networks than Others," Nature, 406, 845 (2000).
32. Liljeros, F., C. Edling, L. A. N. Amaral, H. Stanley, and Y. Aberg, "The Web of Human Sexual Contacts," Nature, 411, 907 (2001).
33. Lloyd, A. L., and May, R. M., "Epidemiology - How Viruses Spread Among Computers and People," Science, 292, 1316 (2001).
34. Martinez, N. D., "Artifacts or Attributes? Effects of Resolution on the Little Rock Lake Food Web," Ecological Monographs, 61, 367 (1991).
35. Newman, M., "Clustering and Preferential Attachment in Networks," Phys. Rev. E, 64, 25102 (2001).
36. Ott, E., Chaos in Dynamical Systems, Cambridge University Press Cambridge, U.K. (1994)
37. Ottino, J. M., The Kinematics of Mixing: Stretching, Chaos and Transport, Cambridge University Press, Cambridge, U.K. (1990)
38. Pastor-Satorras, R., and A. Vespignani, "Epidemic Spreading in Scale-Free Networks," Phys. Rev. Lett., 86, 3200 (2001).
39. Peng, G., and Herrmann, H. J., "Density Waves and 1/f Density Fluctuations in Granular Flow," Phys. Rev. E, 51, 1745 (1995).
40. Peng, G., and Herrmann, H. J., "Density Waves of Granular Flow in a Pipe Using Lattice-Gas Automata," Phys. Rev. E, 49, R1796 (1994).
41. Pham, K. N., A. M. Puertas, J. Bergenholtz, S. U. Egelhaaaf, A, Moussaïd, P. N. Pusey, A. B. Schofield, M. E. Cates, M. Fuchs, and W. C. K. Poon, "Multiple Glassy States in a Simple Model System," Science, 296, 104 (2002).
42. Schelling, T., From Micromotives to Macrobehavior, Norton, New York (1978).
43. Strogatz, S. H., Nonlinear Dynamics and Chaos, Westview Press, Cambridge, U.K. (2000).
44. Strogatz, S. H., "Exploring Complex Networks," Nature. 410. 268 (2001).
45. Tofoli, T., and N. Margules, Cellular Automata Machines: A New Environment for Modelling, MIT Press, Cambridge, MA (1987).
46. Umbanhowar, P. B., F. Melo, and H. L. Swinney, "Localized Excitations in a Vertically Vibrated Granular Layer," Nature, 382, 793 (1996).
47. Velikov, K. P., C. G. Christova, R. P. A. Dullens, and A. van Blaaderen, "Layer-by-Layer Growth of Binary Colloidal Crystals," Science, 296, 106 (2002).
48. Waseda T., and H. Mitsudera, "Chaotic Advection of the Shallow Kuroshio Coastal Waters," J. Oceanography, 58, 627 (2002)
49. Watts, D. J., and S. H. Strogatz, "Collective Dynamics of 'Small-World' Networks," Nature, 393, 440 (1998).
50. Watts, D. J., P. S. Dodds, and M. E. J. Newman, "Identity and Search in Social Networks," Science, 296, 1302 (2002)
51. Wilensky, U., NetLogo. (ccl.northwestern.edu/netlogo), Center for Connected Learning and Computer Based Modeling, Northwestern University (1999).
52. Wilensky, U., "Statistical Mechanics for Secondary School: The GasLab Multi-agent Modeling Toolkit," Int. J. of Comput for Mathematical Learning, Special Issue on agent-based modeling, in press (2003).
53. Wilensky, U., and K. Reisman, "ConnectedScience: Leaming Biology through Constructing and Testing Computational Theories - A Multi-agent Modeling Approach," Int. J. of Complex Systems, 234, 1 (1998).
54. Williams, R. J., and N. D. Martinez, "Simple Rules Yield Complex Food Webs," 404, 180 (2000)
55. Willinger, W., R. Govindan, S. Jamin, V. Paxon, and S. Shenker, Proc. Nat. Acad. Sci. USA, 99 (supll), 2573 (2002).
56. Wilson, E. O., Consilence, Knopf, New York (1998).
57. Wolfram, S., A New Kind of Science, Wolfram Media, Champaign, IL (2002).