Attractors, Complexity



This chapter stands as the one most directly concerned with the approach of the present work to causality, determinants of behavior, and transition mechanisms underlying the present Neo-Piagetian model. I describe attractors and complexity to prepare description of a five-step transitional process in systems gravitating to increased adaptiveness. More traditional approaches to the origins of behavior concentrate on genetics, environment, or their interaction, and this approach has become quite refined through the concept of epigenesis, explained in depth in the two chapters following this one. However, a nonlinear dynamical systems theory is a transdisciplinary approach, and it carries the study of causality beyond living systems to systems, in general. In this sense, the five-step transitional model that I developed in terms of attractors and complexity could underwrite generic change processes beyond human development. In this regard, my study of the how and why in the process of development might help explain wider change processes.


Attractor State Chaotic System Chaotic Attractor High Scale Complex Adaptive System 
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  1. Abraham, F. D. (1995). Introduction to dynamics: A basic language; a basic metamodeling strategy. In F. D. Abraham & A. R. Gilgen (Eds.), Chaos theory in psychology (pp. 31–  49). Westport: Greenwood.Google Scholar
  2. Abraham, F. D., Abraham, R. H., & Shaw, C. D. (1990). A visual introduction to dynamical systems theory for psychology. Santa Cruz: Aerial.Google Scholar
  3. Freeman, W. J. (1995). The kiss of chaos and the Sleeping Beauty of psychology. In F. D. Abraham & A. R. Gilgen (Eds.), Chaos theory in psychology (pp. 19–29). Westport: Greenwood.Google Scholar
  4. Gottman, J. M. (1991). Chaos and regulated change in families: A metaphor for the study of transitions. In P. A. Cowan & M. Hetherington (Eds.), Family transitions (pp. 247–272). Hillsdale: Erlbaum.Google Scholar
  5. Granic, I., & Patterson, G. R. (2006). Toward a comprehensive model of antisocial development: A dynamic systems approach. Psychological Review, 113, 101–131.PubMedCrossRefGoogle Scholar
  6. Guastello, S. J. (1995). Chaos, catastrophe, and human affairs: Nonlinear dynamics in work, organizations, and social evolution. Mahwah: Erlbaum.Google Scholar
  7. Guastello, S. J., & Liebovitch, L. S. (2009). Introduction to nonlinear dynamics and complexity. In S. J. Guastello, M. Koopmans, & D. Pincus (Eds.), Chaos and complexity in psychology: The theory of nonlinear dynamical systems (pp. 1–  40). New York: Cambridge University Press.Google Scholar
  8. Haken, H. (1984). The science of structure: Synergetics. New York: Van Nostrand Reinhold.Google Scholar
  9. Holland, J. H. (1998). Emergence: From chaos to order. New York: Basic Books.Google Scholar
  10. Howe, M. L., & Rabinowitz, F. M. (1991). Development: Sequences, structure, chaos. In P. van Geert & L. P. Mos (Eds.), Annals of theoretical psychology (Vol. 7, pp. 65–71). New York: Plenum.CrossRefGoogle Scholar
  11. Jost, J., Bertschinger, N., & Olbrich, E. (2009). Emergence. New Ideas in Psychology, 28, 265–273.CrossRefGoogle Scholar
  12. Kauffman, S. (1993). The origins of order: Self-organization and selection in evolution. New York: Oxford University Press.Google Scholar
  13. Kugler, P. N., Shaw, R. E., Vicente, K. J., & Kinsella-Shaw, J. (1991). The role of attractors in the self-organization of intentional systems. In R. R. Hoffman & D. S. Palermo (Eds.), Cognition and the symbolic processes: Applied and ecological perspectives (pp. 387–  431). Hillsdale: Erlbaum.Google Scholar
  14. Lewis, M. D. (2005). Self-organizing individual differences in brain development. Developmental Review, 25, 252–277.CrossRefGoogle Scholar
  15. May, R. M. (1976). Simple mathematical models with very complex dynamics. Nature, 261, 459–467.PubMedCrossRefGoogle Scholar
  16. Strogatz, S. (2003). Sync: The emerging science of spontaneous order. New York: Hyperion.Google Scholar
  17. Thelen, E. (1995). Motor development: A new synthesis. American Psychologist, 50, 79–95.PubMedCrossRefGoogle Scholar
  18. Thelen, E., & Smith, L. B. (1994). A dynamic systems approach to the development of cognition and action. Cambridge: MIT Press.Google Scholar
  19. Thelen, E., & Smith, L. B. (2006). Dynamic systems theories. In W. Damon & R. M. Lerner (Eds.), Handbook of child psychology: Vol. 1. Theoretical models of human development (6th ed., pp. 258–312). Hoboken: Wiley.Google Scholar
  20. Thelen, E., & Ulrich, B. D. (1991). Hidden skills: A dynamical systems analysis of treadmill stepping during the first year. Monographs of the Society for Research in Child Development, 56 (1, Serial No. 223).Google Scholar
  21. Thom, R. (1975). Structural stability and morphegenesis. New York: Benjamin-Addison-Wesley.Google Scholar
  22. Vallacher, R. R., Coleman, P. T., Nowak, A., & Bui-Wrzosinska, L. (2010). Rethinking intractable conflict: The perspective of dynamical systems. American Psychologist, 65, 262–278.PubMedCrossRefGoogle Scholar
  23. van der Maas, H. L., & Molenaar, P. C. (1992). Stagewise cognitive development: An application of catastrophe theory. Psychological Review, 99, 395–417.PubMedCrossRefGoogle Scholar
  24. van Geert, P. (1991). A dynamic systems model of cognitive and language grown. Psychological Review, 98, 3–53.CrossRefGoogle Scholar
  25. Williams, C., & Arrigo, B. (2002). Law, psychology, and justice: Chaos theory and the new (dis)order. Albany: State University of New York Press.Google Scholar
  26. Young, G. (1997). Adult development, therapy, and culture: A postmodern synthesis. New York: Plenum.Google Scholar
  27. Young, G., & Chapman, C. R. (2007). Pain, affect, nonlinear dynamical systems, and chronic pain: Bringing order to disorder. In G. Young, A. W. Kane, & K. Nicholson, Causality of psychological injury: Presenting evidence in court (pp. 197–241). New York: Springer Science + Business Media.CrossRefGoogle Scholar

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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Glendon CollegeYork UniversityTorontoCanada

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