Complement plots: analyzing opposites reveals Mandala-like patterns in human heart beats

International Journal of General Systems

Volumn 29, Issue 5, 2000, Pages 799-830

  Sabelli, Hector ^a  

^a Chicago Center for Creative Development   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CARDIOLOGY; ELECTROCARDIOGRAPHY; INTEGER PROGRAMMING; MATHEMATICAL MODELS; RANDOM PROCESSES; TIME SERIES ANALYSIS;

BIOTIC SERIES; COMPLEMENT PLOTS; HUMAN HEART BEATS; MANDALA LIKE PATTERNS; PSYCHOLOGICAL MODULATION;

CHAOS THEORY;

EID: 0034517405     PISSN: 03081079     EISSN: None     Source Type: Journal    
DOI: 10.1080/03081070008960973     Document Type: Article

References (64)

1. Akselrod, S. (1955), Components of heart rate variability: Basic studies. In Malik, M. and Camm, A.J. (Eds.), Heart Rate Variability. Armonk, New York: Futura Publ.
2. Akselrod, S., Gordon, D., Übel, P.A., Barger, A.C. and Cohen, R.J. (1981), Power spectrum analysis of heart rate fluctuation: A quantitative probe of beat-to-beat cardiovascular control. Science, 213, 220-222.
3. Babloyantz, A. and Destexhe, A. (1988), Is the heart a periodic oscillator. Biol. Cybern., 58, 203-211.
4. Bai, G. and Lindberg, L.A. (1998), Dialectical approach to systems development. Systems Research, 15, 47-54.
5. Bergson, B.P. (1995), On the combination-separation principle: A metaphor for evolving system processes. Technological Forecasting and Social Change, 50, 171 -183.
6. Bertalanffy, L.V. (1968), General Systems Theory. New York: George Brazilier.
7. Capra, F. (1975), The Too of Physics. Boulder: Shambala.
8. Carlson-Sabelli, L. (1992), Measuring co-existing opposites: A methodological exploration. Doctoral dissertation. University of Illinois at Chicago. UMI Dissertation Services, 1-800-521-0600.
9. Carlson-Sabelli, L., Sabelli, H.C., Hein, N. and Javaid, J.I. (1990), Psychogeometry: The dynamics of behavior. Proc. Internat. Soc. Systems Sciences, pp. 769-775.
10. Carlson-Sabelli, L., Sabelli, H.C., Patel, M. and Holm, K. (1992), The union of opposites in sociometry: An empirical application of process theory. J. Group Psychotherapy, Psychodrama and Sociometry, 44, 147-171.
11. Carlson-Sabelli, L. and Sabelli, H.C. (1992), Phase plane of opposites: A method to study change in complex processes, and its application to sociodynamics and psychotherapy. The Social Dynamicist, 3, 1-6.
12. Carlson-Sabelli, L., Sabelli, H.C. and Hale, A. (1994a), Sociometry and sociodynamics. In Psychodrama since Moreno: Innovations in Theory and Practice. Karp, Watson and Holmes (Eds.), Routledge, London, England.
13. Carlson-Sabelli, L., Sabelli, H.C., Zbilut, J., Patel, M., Messer, J., Walthall, K., Tom, C., Fink, P., Sugerman, A. and Zdanovics, O. (1994b), How the heart informs about the brain. A process analysis of the electrocardiogram. In Trappl, R. (Ed.), Cybernetics and Systems '94. (pp. 1031-1038). Singapore: World Scientific.
14. Carlson-Sabelli, L., Sabelli, H.C., Patel, M., Messer, J., Zbilut, J., Sugerman, A., Walthall, K., Tom, C. and Zdanovics, O. (1995), Electropsychocardiography. Illustrating the application of process methods to comprehensive patient evaluation. Complexity and Chaos in Nursing, 2, 16-24.
15. Carlson-Sabelli, L., Sabelli, H., Messer, J., Patel, M., Sugerman, A., Kauffman, L. and Walthall, K. (1997a), Process method: Part I. An empirical measure of novelty differentiates creative organization from static order and chaos. Proc. International Systems Society, pp. 1072-1090.
16. Carlson-Sabelli, L., Sabelli, H., Patel, M., Sugerman, A. and Kauffman, L. (1997b), Process method: II. From process thinking to the empirical study of coexisting opposites. Proc. International Systems Society, pp. 976-988.
17. Corballis, M.C. and Beale, I.L. (1976), The Psychology of Left and Right. Mahwah, New Jersey: Erlbaum.
18. Denton, T.A., Diamond, G.A., Heifant, R.H., Kahn, S. and Karageuzian, H. (1990), Fascinating rhythm: A primer on chaos theory and its application to cardiology. American Heart Journal, 120, 1419-1440.
19. Ekman, P., Levenson, R.W. and Friesen, W.V. (1983), Autonomie nervous system activity distinguishes among emotions. Science, 221, 1208-1210.
20. Erikson, E.H. (1982), The Life Cycle Completed. New York: W. W. Norton.
21. Feigenbaum, M.J. (1983), Universal behavior in nonlinear systems. Physica ID, 16-19.
22. Glass, L. and Mackey, M.C. (1988), From Clocks to Chaos. Princeton University Press.
23. Goldberger, A.L. and West, B.J. (1987), Applications of nonlinear dynamics to clinical cardiology. In Perspectives in biological dynamics and theoretical medicine. In Koslow, S.H., Mandell, A.J., Shlesinger, M.F., Annals of the New York Academy of Sciences. New York: New York Academy of Sciences.
24. Gordon, D. and Sabelli, H. Biotic patterns of heart rate variation in new bom infants and their disruption in newborns with severe congenital illness. Annual meeting of the International Society for the System Sciences, Asilomar, July 1999.
25. Guastello, S.J. (1995), Chaos, Catastrophe, and Human Affairs. Mahwah, New Jersey: Lawrence Erlbaum Assoc.
26. Guevara, M.R., Glass, L. and Shrier, A. (1981), Phase locking, period-doubling bifurcations and irregular dynamics in periodically-stimulated cardiac cells. Science, 214, 1350-1354. .
27. Haldane, J.B.S. (1960), Pasteur and cosmic asymmetry. Nature, 185, 87.
28. Jung, C.G., Franz, M.L., Henderson, J.L., Jacobi, J. and Jaffé, A. Man and His Symbols. Garden City, New York: Doubleday (1964).
29. Kauffman, L. and Sabelli, H. (1998), The Process equation. Cybernetics and Systems, 29, 345-362.
30. Malik, M. and Camm, A.J. (1995), Heart Rale Variability. Armonk, New York: Futura Publ.
31. Peitgen, H., Jürgens, H. and Saupe, D. (1992); Chaos and Fractals. New York: SpringerVerlag.
32. Reidbord, S.P. and Redington, D.J. (1992), Psychophysiological processes during insight-oriented therapy: further investigations into nonlinear psychodynamics. The Journal of Nervous and Mental Diseases, 180, 649-657.
33. Robertson, R. (1995), Jungian Archetypes. York Beach, Maine: Nicolas-Hays.
34. Sabelli, A. (1952), Escritos. Buenos Aires, Argentina, Private edition.
35. Sabelli, H. (1984), Mathematical dialectics, Scientific logic and the psychoanalysis of thinking. In Hegel and the Sciences, Cohen, R.S. and Wartofsky, M.W. (Eds.), New York: D. Reidel Publishing Co., pp. 349-359.
36. Sabelli, H. (1989), Union ofOpposltes: A Comprehensive Theory of Natural and Human Processes. Lawrenceville, VA: Brunswick Publishing.
37. Sabelli, H. (1995), Non-linear dynamics as a dialectic logic. Proc. International Systems Society.pp. 101-112.
38. Sabelli, H. (1998), The Union of Opposites: from Taoism to Process Theory. Systems research, 15, 429-441.
39. Sabelli, H. (1999), Information begets color. 43rd Annual Meeting of the International Society for the Systems Sciences, Asilomar, California.
40. Sabelli, H. (1999), Process theory: Mathematical formulation, experimental method, and clinical and social application. Toward New Paradigm of System Science. Seoul National University, Seoul, Korea, Rhee, P.Y. (Ed.) (invited publication).
41. Sabelli, H. and Carlson-Sabelli, L. (1989), Biological priority and psychological supremacy, a new integrative paradigm derived from process theory. American Journal of Psychiatry, 146, 1541-1551.
42. Sabelli, H.C. and Carlson-Sabelli, L. (1992), Process theory: Energy, information and structure in the phase space of Opposites. Proceedings International Society for the Systems Sciences, pp. 658-667.
43. Sabelli, H.C. and Carlson-Sabelli, L. (1995), Sociodynamics: the application of process methods to the social sciences. Chaos Theory and Society. In Albert, A. (Ed.), I.O.S. Press, Amsterdam, Holland, and Les Presses de l'Université du Québec, Sainte-Foy, Canada.
44. Sabelli, H. and Kauffman, L. (1999a), The process equation: Formulating and testing the process theory of systems. Cybernetics and Systems, 30, 261-294.
45. Sabelli, H. and Kauffman, L. (1999b), Bios: creative organization beyond chaos. 43rd Annual Meeting of the International Society for the Systems Sciences, Asilomar, California.
46. Sabelli, H.C., Carlson-Sabelli, L. and Javaid, J.I. (1990), The thermodynamics of bipolarity: A bifurcation model of bipolar illness and bipolar character and its psychotherapeutic applications. Psychiatry: Interpersonal and Biological Processes, S3, 346-367.
47. Sabelli, H.C., Carlson-Sabelli, L., Zbilut, J., Patel, M., Messer, J., Walthall, K. and Tom, C. (1994), Cardiac entropy in coronary and schizophrenic patients and the process concept of entropy as symmetry. In Trappl, R. (Ed.), Cybernetics and Systems '94: Volume II. (pp. 967-974). Singapore: World Scientific.
48. Sabelli, H.C., Carlson-Sabelli, L., Patel, M., Zbilut, J., Messer, J. and Walthall, K. (1995a), Psychological portraits and psycho-cardiological patterns in phase space. In F.D. Abraham and A.R. Gilgen (Eds.), Chaos Theory in Psychology, (pp. 107-125). Westport, Connecticut: Praeger.
49. Sabelli, H., Carlson-Sabelli, L., Levy, A., Patel, M. (1995b), Anger, fear, depression and crime: physiological and psychological studies using the process method. In Robertson and Combs (Eds.), Chaos Theory in Psychology and the Life Sciences. (pp. 65-88).
50. Sabelli, H., Carlson-Sabelli, L., Patel, M. and Sugerman, A. (1997), Dynamics and psychodynamics. Process foundations of psychology. J. Mind and Behavior, 18, 305334.
51. Sprott, J.C. and Rowlands, G. (1995), Chaos Data Analyzer. New York: American Institute of Physics.
52. Sarkovskii, A.N. (1964), Coexistence of cycles of a continuous map of a line into itself. Ukrain. Mat. Z., 16, 61-71 (in Russian).
53. Schwartz, G.E., Weinberger, D.A. and Singer, J.A. (1981), Cardiovascular differentiation of happiness, sadness, anger and fear following imagery and exercise. Psychosomatic Medicine, 43, 343-364.
54. Steward, I.N. and Peregoy, P.L. (1983), Catastrophe theory modeling in psychology. Psychological Bulletin, 94, 336-362.
55. Sugerman, A., Sabelli, H. and Patel, M. (1999), Biotic patterns of economic processes: beyond equilibrium, chaos, and determinism. 43rd Annual Meeting of the International Society for the Systems Sciences, Asilomar, California.
56. Thorn, R. (1983), Mathematical Models of Morphogenesis. Chichester, West Sussex: Ellis Horwood.
57. Vandervert, L.R. (1988), Systems thinking and a proposal for a neurological positivism. Systems Research, 5, 313-321.
58. Webber, C.L. (1991), Rhythmogenesis of deterministic breathing patterns. In Haken, H. and Koepchen, H.P. (Eds.), Rhythms in Physiological Systems. Berlin: SpringerVerlag, pp. 171-191.
59. Webber Jr., C.L. and Zbilut, J.P. (1994), Dynamical assessment of physiological systems and states using recurrence plot strategies. Journal of Applied Physiology, 76, 965973.
60. Webber Jr., C.L. and Zbilut, J.P. (1997), Recurrence quantification analysis program (program).
61. Xu, L.D. and Li, L.X. (1989), Complementary opposition as a systems concept. Systems Research, 6, 91-101.
62. Zarankin, S. and Sabelli, H. (1996), Biculturality among Hispanic working women. The union of opposites in psychosocial testing and education. Proc. International Systems Society, pp. 691 -702.
63. Zak, M., Zbilut, J.P. and Meyers, R.E. (1997), From Instability to Intelligence. Berlin, Germany: Springer
64. Zbilut, J.P., Zak, M. and Meyers, R. (1996), A terminal dynamics model of the heartbeat. Biol. Cybern., 75, 277-280.