Dynamical Systems Modeling: An Application to the Regulation of Intimacy and Disclosure in Marriage

Models for Intensive Longitudinal Data

Volumn , Issue , 2012, Pages

  Boker, Steven M ^a   Laurenceau, Jean Philippe ^b  

^a UNIVERSITY OF NOTRE DAME   (United States)

^b UNIVERSITY OF DELAWARE   (United States)

Author keywords

Differential equation; Dynamical systems; Local linear approximation; Married couples; Multilevel modeling

Indexed keywords

EID: 84920473085     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1093/acprof:oso/9780195173444.003.0009     Document Type: Chapter

References (29)

1. Arminger, G. (1986). Linear stochastic differential equation models for panel data with unobserved variables. In N. Tuma (Ed.), Sociological Methodology 1986 (pp. 187-212). San Francisco: Jossey Bass.
2. Bisconti, T.L., Bergeman, C.S., & Boker, S.M. (2004). Emotion regulation in recently bereaved widows: A dynamical systems approach. Journal of Gerontology: Psychological Sciences, 59, 158-167.
3. Boker, S.M. (2001). Differential structural modeling of intraindividual variability. In L. Collins & A. Sayer (Eds.), New Methods for the Analysis of Change (pp. 3-28). Washington, DC: American Psychological Association.
4. Boker, S.M., & Graham, J. (1998). A dynamical systems analysis of adolescent substance abuse. Multivariate Behavioral Research, 33, 479-507.
5. Boker, S.M., Neale, M.C., & Rausch, J. (2004). Latent differential equation modeling with multivariate multi-occasion indicators. In K. van Montfort, H. Oud, & A. Satorra (Eds.), Recent Developments on Structural Equation Models: Theory and Applications (pp. 151-174). Dordrecht, Netherlands: Kluwer.
6. Boker, S.M., & Nesselroade, J.R. (2002). A method for modeling the intrinsic dynamics of intraindividual variability: Recovering the parameters of simulated oscillators in multi-wave panel data. Multivariate Behavioral Research, 37, 127-160.
7. Carver, C.S., & Scheier, M.F. (1998). On the Self-Regulation of Behavior. New York:Springer.
8. Chow, S.M., Ram, N., Boker, S.M., Fujita, F., Clore, G., & Nesselroade, J.R. (2005). Capturing weekly fluctuation in emotion using a latent differential structural approach. Emotion, 5, 208-225.
9. Kaplan, D., & Glass, L. (1995). Understanding Nonlinear Dynamics. New York: Springer.
10. Kelley, H.H., Berscheid, E., Christensen, A., Harvey, J.H., Huston, T.L., Levenger, G., et al. (1983). Close Relationships. New York: Freeman.
11. Laurenceau, J.-P., Barrett, L.F., & Pietromonaco, P.R. (1998). Intimacy as an interpersonal process: The importance of self-disclosure, and perceived partner responsiveness in interpersonal exchanges. Journal of Personality and Social Psychology, 74, 1238-1251.
12. Laurenceau, J.-P., Feldman Barrett, L., & Rovine, M.J. (2005). The interpersonal process model of intimacy in marriage: A daily-diary and multilevel modeling approach. Journal of Family Psychology, 19, 314-323.
13. Laurenceau, J.-P., Rivera, L.M., Schaffer, A.R., & Pietromonaco, P.R. (2004). Intimacy as an interpersonal process: Current status and future directions. In D.J. Mashek & A. Aron (Eds.), Handbook of Closeness and Intimacy (pp. 61-78). Mahwah, NJ: Lawrence Erlbaum.
14. Nesselroade, J.R. (1991). Interindividual differences in intraindividual changes. In J.L. Horn & L. Collins (Eds.), Best Methods for the Analysis of Change: Recent Advances, Unanswered Questions, Future Directions (pp. 92-105). Washington, DC: American Psychological Association.
15. Nesselroade, J.R., & Boker, S.M. (1994). Assessing constancy and change. In T.F. Heatherton & J.L. Weinberger (Eds.), Can Personality Change? (pp. 121-147). Washington, DC: American Psychological Association.
16. Nilsson, M., Naessen, S., Dahlman, I., Hirschberg, A., Gustafsson, J.A., & Dahlman-Wright, K. (2004). Association of estrogen receptor beta gene polymorphisms with bulimic disease in women. Molecular Psychiatry, 9, 28-34.
17. Oud, J.H.L., & Jansen, R.A.R.G. (2000). Continuous time state space modeling of panel data by means of SEM. Psychometrica, 65, 199-215.
18. Pinheiro, J.C., & Bates, D.M. (2000). Mixed-Effects Models in S and S-Plus. New York:Springer.
19. Prager, K.J., & Roberts, L.J. (2004). Deep intimate connection: Self and intimacy in couple relationships. In D. Mashek & A. Aron (Eds.), Handbook of Closeness and Intimacy (pp. 43-60). Mahwah, NJ: Lawrence Erlbaum.
20. Ramsay, J.O. (2002). Multilevel modeling of longitudinal and functional data. In D. Moskowitz & S. Hershberger (Eds.), Modeling Intraindividual Variability with Repeated Measures Data: Methods and Applications (pp. 87-107). Mahwah, N.J.: Lawrence Erlbaum.
21. Reis, H.T., & Shaver, P. (1988). Intimacy as an interpersonal process. In S. Duck (Ed.), Handbook of Personal Relationships (pp. 367-389). Chichester: John Wiley.
22. Sauer, T., Yorke, J., & Casdagli, M. (1991). Embedology. Journal of Statistical Physics, 65, 95-116.
23. Singer, H. (1998). Continuous panel models with time dependent parameters. Journal of Mathematical Sociology, 23, 77-98.
24. Spanier, G. (1976). Measuring dyadic adjustment: New scales for assessing the quality of marriage and similar dyads. Journal of Marriage and the Family, 38, 15-28.
25. Takens, F. (1985). Detecting strange attractors in turbulence. In A. Dold & B. Eckman (Eds.), Lecture Notes in Mathematics 1125: Dynamical Systems and Bifurcations (pp. 99-106). Berlin: Springer.
26. Thompson, J.M.T., & Stewart, H.B. (1986). Nonlinear Dynamics and Chaos. New York:John Wiley.
27. Varma, M., Chai, J.K., Meguid, M.M., Laviano, A., Gleason, J.R., Yang, Z.J., & Blaha, V. (1999). Effect of estradiol and progesterone on daily rhythm in food intake and feeding patterns in Fischer rats. Physiology and Behavior, 68, 99-107.
28. Whitney, H. (1936). Differentiable manifolds. Annals of Mathematics, 37, 645-680.
29. Wolfram Research (2003). Mathematica 5.0. Champaign-Urbana, IL: Wolfram Research.