Offense cycles, thresholds and bifurcations applying dynamical systems theory to the behaviors of adolescent sex offenders

Journal of Social Service Research

Volumn 27, Issue 1, 2000, Pages 1-27

  Warren, Keith ^a   Knox, Karen ^b  

^a OHIO STATE UNIVERSITY   (United States)

^b TEXAS STATE UNIVERSITY   (United States)

Author keywords

Adolescent sex offenders; Bifurcations; Chaos theory; Complexity theory; Dynamical systems theory; Nonlinear dynamics; Sex offenders; Threshold autoregression

Indexed keywords

EID: 0034361957     PISSN: 01488376     EISSN: 15407314     Source Type: Journal    
DOI: 10.1300/J079v27n01_01     Document Type: Article

References (54)

1. Abraham, F. D. & Gilgen, A. R. (1995). Chaos theory in psychology. Westport, CT: Praeger.
2. Akaike, H. (1985). Prediction and entropy. In A. C. Atkinson & S. E. Feinberg (eds.) A celebration of statistics: The ISI centenary volume. New York: Springer-Verlag.
3. Axelrod, R. (1997). The complexity of cooperation. Princeton, NJ: Princeton University Press.
4. Bak, P. (1996). How nature works: The science of self-organized complexity. New York: Springer-Verlag.
5. Bar-Yam, Y. (1997). Dynamics of complex systems. Reading, MA: Perseus Books.
6. Briggs, J. & Peat, F. D. (1999). Seven life lessons of chaos: Timeless wisdom from the science of change. New York: Harper Collins.
7. Brock, W. A., Hsieh, D. A. & LeBaron, B. (1991). Nonlinear dynamics, chaos, and instability: Statistical theory and economic evidence. Cambridge, MA: MIT Press.
8. Caner, M. & Hansen, B. E. (1998). Threshold autoregression with a near unit root. Social Systems Research Institute Working Paper 9827.
9. Devaney, R. L. (1992). A first course in chaotic dynamical systems. Reading, MA: Addison-Wesley.
10. Eve, R. A., Horsfall, S. & Lee, M. E. (1997). Chaos, complexity and sociology: Myths, models, and theories. Thousand Oaks, CA: Sage.
11. Germain, C. B. (1991). Human behavior in the social environment: An ecological view. New York: Columbia University Press.
12. Germain, C. B. & Gitterman, A. (1980). The life model of social work practice. New York: Columbia University Press.
13. Gleick, J. (1987). Chaos: The making of a new science. New York: Viking.
14. Hamilton, J. D. (1994). Time series analysis. Princeton, NJ: Princeton University Press.
15. Hansen, B. E. (1997). Inference in TAR Models. Studies in nonlinear dynamics and econometrics. 2(1) 1-14.
16. Hansen, B. E. (1999) Testing for linearity. Social Systems Institute Working Paper #9907.
17. Hasenfeld, Y. (1992). Human services as complex organizations. Thousand Oaks, CA: Sage.
18. Hawkins, R. C. & Hawkins, C. A. (1998). Dynamics of substance abuse: Implications of chaos theory for clinical research. In Chamberlin, L. & Butz, M. R., Clinical chaos: A therapist’s guide to nonlinear dynamics and therapeutic change.
19. Holland, J. (1995). Hidden order: How adaptation builds complexity. Reading, MA: Addison-Wesley.
20. Kahn, T. J. (1996). Pathways: A guided workbook for youth beginning treatment. Brandon, VT: The Safer Society Press.
21. Kantz, H. & Schreiber, T. (1997). Nonlinear time series analysis. New York: Cambridge University Press.
22. Kellert, S. H. (1993). In the wake of chaos: Unpredictable order in dynamical systems. Chicago: The University of Chicago Press.
23. Kiel, L. D. & Elliott, E. (Eds.) (1996). Chaos theory in the social sciences: Foundations and applications. Ann Arbor, MI: The University of Michigan Press.
24. Knox, K. (1994). Effectiveness of cognitive behavioral therapy: Evaluating self-instructional training with adolescent sex offenders. Unpublished doctoral dissertation.
25. Koput, K. W. (1997). A chaotic model of innovative search: Some answers, many questions. Organization Science, 8(5) 528-542.
26. Laws, D. R. (1999). Relapse prevention: The state of the art. Journal of Interpersonal Violence, 14(3), 285-302.
27. LeBaron, B. (1999). Time series analysis. Seminar held on October 6, 1999 as part of the New England Complex Systems Institute fall intensive course in complex systems.
28. Leenaerts, D. M. W. & van Bokhoven, W. M. G. (1998) Piecewise linear modeling and analysis. Boston, MA: Kluwer Academic Publishers.
29. Mandell, A. & Selz, K. (1995). Nonlinear dynamical patterns as personality theory for neurobiology and psychiatry. Psychiatry, 58, 371-390.
30. Maravall, A. (1983). An Application of Nonlinear Time Series Forecasting. Journal of Business and Economic Statistics, 1(1), 66-74.
31. Marion, R. (1999). The edge of organization: Chaos and complexity theories of formal social systems. Thousand Oaks, CA: Sage.
32. Martin, P. Y. & O’Conner, G. G. (1989). The social environment: Open systems applications. New York: Longman.
33. Masterpasqua, F. & Perna, P. (eds.) (1997). The psychological meaning of chaos: Translating theory into practice. Washington, DC: American Psychological Association.
34. Mees, A. (1986). Chaos in feedback systems. In Holden, A.V. (ed.) Chaos. Princeton, NJ: Princeton University Press.
35. Mills, T. C. (1990). Time series techniques for economists. New York: Cambridge University Press.
36. Peak, D., & Frame, M. (1994). Chaos under control: The art and science of complexity. New York: W. H. Freeman.
37. Pithers, W. D., Cumming, G., Beal, L., Young, W. & Turner, R. (1988). Relapse Prevention. In B. K. Schwartz & H. R. Cellini (Eds.), A practitioner’s guide to treating the incarcerated male sex offender (pp. 123-140). Washington, DC: U.S. Government Printing Office.
38. Poling, A. & Fuqua, D. W., eds. (1986). Research methods in applied behavior analysis: Issues and advances. New York: Plenum Press.
39. Polley, D. (1997). Turbulence in organizations: New metaphors for organizational research. Organization Science, 8(3) 445-457.
40. Roys, D. T. (1995). Exit examination for sexual offenders. Sexual abuse: A journal of research and treatment, 7(1), 85-186.
41. Rubin, A. & Babbie, E. (1997). Research Methods for Social Work. (3rd ed.). Pacific Grove, CA: Brooks/Cole.
42. Rubin, A. & Knox, K. (1996). Data analysis problems in single-case evaluation: Issues for research on social work practice. Research on Social Work Practice, 6(1): 40-65.
43. Ryan, G., Lane, S., Davis, J. & Isaac, C. (1987). Juvenile sex offenders: Development and correction. Child Abuse & Neglect, 11, 385-395.
44. Saperstein, A. M. (1996). The prediction of unpredictability: Applications of the new paradigm of chaos in dynamical systems to the old problem of the stability of a system of hostile nations. In Kiel, L. D. & Elliott, E. (Eds.). (1996). Chaos theory in the social sciences: Foundations and applications. Ann Arbor, MI: The University of Michigan Press.
45. Steen, C. (1992). The Relapse Prevention Workbook for Youth in Treatment. Brandon, VT: The Safer Society Press.
46. Strogatz, S. H. (1994). Nonlinear dynamics and chaos. Reading, MA: Addison-Wesley.
47. Thelen, E., & Smith, L. B. (1994). A dynamic systems approach to the development of cognition and action. Cambridge, MA: MIT Press.
48. Thornton, D. How to tell if your sex offender is getting better (or worse): Advanced clinical workshop. Talk given at the 15th annual Midwest Conference on Child Sexual Abuse and Incest, October 14, 1999.
49. Tong, H. (1990). Non-linear time series: A dynamical system approach. New York: Clarendon Press.
50. Warren, K., Franklin, C., & Streeter, C. (1998). New directions in systems theory: Chaos and complexity. Social Work, 43(4), 357-372.
51. Wegner, D. M. (1989). White bears and other unwanted thoughts: Suppression, obsession, and the psychology of mental control. New York: Viking.
52. Williams, G. P. (1997). Chaos Theory Tamed. Washington, DC: Joseph Henry Press.
53. Wofgram, B. W. (1995). A qualitative description of behaviors of abused children who in turn abuse other children. Unpublished Masters Thesis, University of Wisconsin, Stevens Point, Stevens Point, WI.
54. Woyshville, M. J., Lackamp, J. M., Eisengart, J. A., & Gilliland, J. A. M. (1999). On the meaning and measurement of affective instability: Clues from chaos theory. Biological Psychiatry, 45, 261-269.