Nonlinear quantum neuro-psycho-dynamics with topological phase transitions

NeuroQuantology

Volumn 6, Issue 4, 2008, Pages 349-368

  Ivancevic, Vladimir G ^a   Ivancevic, Tijana T ^b  

^a DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION   (Australia)

^b UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

Author keywords

Chaos; Goal directed motor control; Life space foam; Multi agent joint action; Noisy decision making; Quantum probability; Topological phase transitions

Indexed keywords

EID: 77549087871     PISSN: 13035150     EISSN: None     Source Type: Journal    
DOI: 10.14704/nq.2008.6.4.191     Document Type: Article

References (59)

1. Amari S. Dynamics of pattern formation in lateral-inhibition type neural fields. Biol Cybern 1977;27:77-87.
2. Bernstein NA, Latash ML and Turvey MT(Eds). Dexterity and its development. Hillsdale NJ England: Lawrence Erlbaum Associates 1996.
3. Bernstein NA. Some emergent problems of the regulation of motor acts. In: Whiting H (ed) Human Motor Actions: Bernstein Reassessed 343-358. North Holland, Amsterdam 1982.
4. Bernstein NA. The Coordination and Regulation of Movements. Pergamon London 1967.
5. Broadbent DE. Perception and communications. Pergamon Press, London 1958.
6. Brooks RA. A Robust Layered Control System for a Mobile Robot. IEEE Trans Rob Aut 1986; (2)1: 14-23.
7. Brooks RA. A robot that walks: Emergent behavior form a carefully evolved network. Neu Comp 1989; 12: 253-262.
8. Brooks RA. Elephants Don't Play Chess. Rob Aut Sys 1990;6:3-15.
9. Busemeyer JR, Wang Z and Townsend JT. Quantum dynamics of human decision-making. J Math Psych 2006;50:220-241.
10. Caiani L, Casetti L, Clementi C and Pettini M. Geometry of Dynamics Lyapunov Exponents and Phase Transitions. Phys Rev Lett 1997;79:4361-4364.
11. Casetti L, Clementi C and Pettini M. Riemannian theory of Hamiltonian chaos and Lyapunov exponents. Phys Rev E 1996;54:5969.
12. Casetti L, Pettini M and Cohen EGD. Geometric Approach to Hamiltonian Dynamics and Statistical Mechanics. Phys Rep 2000;337:237-341.
13. Droll, JA, Hayhoe, M., Triesch, J and Sullivan, BT. Task demands control acquisition and storage of visual information. J Exp Psych: Hum Perc Perf 2005;31:1416-1438.
14. Eisenhart LP. Dynamical trajectories and geodesics. Math Ann 1929;30:591-606.
15. Federer H. Geometric Measure Theory. Springer New York 1969.
16. Fogassi L, Ferrari PF, Gesierich B, Rozzi S, Chersi F and Rizzolatti G. Parietal lobe: From action organization to intention understanding. Science 2005; 29: 662-667.
17. Franzosi R and Pettini M. Theorem on the origin of Phase Transitions. Phys Rev Lett 2004;92:060601.
18. Franzosi R, Pettini M, Spinelli L. Topology and phase transitions: a paradigmatic evidence. Phys Rev Lett 2000;84:2774-2777.
19. Freeman WJ and Vitiello G. Nonlinear brain dynamics as macroscopic manifestation of underlying many-body field dynamics. Phys Life Rev 2006; (3)2: 93-118.
20. Freeman WJ. Mass Action in the Nervous System. Acad Press, New York 1975/2004.
21. Freeman WJ. Neurodynamics. An Exploration of Mesoscopic Brain Dynamics. Springer, London 2000.
22. Gardiner C.W. Handbook of Stochastic Methods for Physics Chemistry and Natural Sciences 2nd ed. Springer, New York 1985.
23. Glimcher PW. Indeterminacy in brain and behaviour. Ann Rev Psych 2005;56:25-56.
24. Gold M. A Kurt Lewin Reader the Complete Social Scientist. Am Psych Assoc Washington 1999.
25. Haken H. Advanced Synergetics: Instability Hierarchies of Self-Organizing Systems and Devices (3nd ed). Springer, Berlin 1993.
26. Haken H. Principles of Brain Functioning: A Synergetic Approach to Brain Activity Behavior and Cognition. Springer, Berlin 1996.
27. Haken H. Synergetics: An Introduction (3rd ed). Springer, Berlin 1983.
28. Haken, H, Kelso, JAS and Bunz H. A theoretical model of phase transitions in human hand movements. Biol Cybern 1985;51:347-356.
29. Heermann DW. Computer Simulation Methods in Theoretical Physics (2nd ed). Springer, Berlin 1990.
30. Hirsch MW. Differential Topology. Springer, New York 1976.
31. Hong SL, Newell KM. Entropy compensation in human motor adaptation. Chaos 2008b; 18(1): 013108.
32. Hong SL, Newell KM. Entropy conservation in the control of human action. Nonl Dyn Psych Life Sci 2008a;12(2):163-190.
33. Ivancevic T, Jain L, Pattison J and Hariz A. Nonlinear Dynamics and Chaos Methods in Neurodynamics and Complex Data Analysis. Nonl Dyn 2008(in press, on line first, Springer).
34. Ivancevic V and Aidman E. Life-space foam: A medium for motivational and cognitive dynamics. Physica A 2007; 382: 616-
35. Ivancevic V and Ivancevic T. Applied Differential Geometry: A Modern Introduction. World Scientific, Singapore 2007a.
36. Ivancevic V and Ivancevic T. Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals. Springer, Berlin 2008a.
37. Ivancevic V and Ivancevic T. Computational Mind: A Complex Dynamics Perspective. Springer, Berlin 2007c.
38. Ivancevic V and Ivancevic T. Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics Control Biomechanics Neurodynamics and Psycho-Socio-Economical Dynamics. Springer, Dordrecht 2006b.
39. Ivancevic V and Ivancevic T. High-Dimen-sional Chaotic and Attractor Systems. Springer, Berlin 2006c.
40. Ivancevic V and Ivancevic T. Natural Biodynamics. World Scientific, Singapore 2006a.
41. Ivancevic V and Ivancevic T. Neuro-Fuzzy Associative Machinery for Comprehensive Brain and Cognition Modelling. Springer, Berlin 2007b.
42. Ivancevic V and Ivancevic T. Quantum Leap: From Dirac and Feynman Across the Universe to Human Body and Mind. World Scientific, Singapore 2008b.
43. Izhikevich EM and Edelman GM. Large-Scale Model of Mammalian Thalamocortical Systems. PNAS 2008;105:3593-3598.
44. Kelso, JAS. Dynamic Patterns: The Self Organization of Brain and Behavior. MIT Press,Cambridge 1995.
45. Knill DC, Maloney LT and Trommershauser J. Sensorimotor Processing and Goal-Directed Movement. J Vis 2007; 7(5)i: 1-2.
46. Knoblich G and Jordan S. Action coordination in individuals and groups: Learning anticipatory control. J Exp Psych: Learn Mem Cog 2003; 29: 1006-1016.
47. Krylov NS. Works on the foundations of statistical mechanics. Princeton Univ Press 1979.
48. Land, MF and Hayhoe, M. In what ways do eye movements contribute to everyday activities? Vis Res 2001;41:3559-3565.
49. Lewin K. Field Theory in Social Science. Univ Chicago Press 1951.
50. Lewin K. Resolving Social Conflicts and Field Theory in Social Science. Am Psych Assoc Washington 1997.
51. Newman-Norlund RD, Noordzij ML, Meulenbroek RGJ and Bekkering H. Exploring the brain basis of joint action: Co-ordination of actions goals and intentions. Soc Neurosci 2007; (2)1: 48-65.
52. Pettini M. Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics. Springer, New York 2007.
53. Schöner G. Dynamical Systems Approaches to Cognition. In: Cambridge Handbook of Computational Cognitive Modelling. Cambridge Univ Press 2007.
54. Sebanz N, Bekkering H and Knoblich G. Joint action: bodies and minds moving together. Tr Cog Sci 2006; (10)2: 70-76.
55. Sutton RS and Barto AG. Reinforcement Learning: An Introduction. MIT Press, Cambridge 1998.
56. Todorov E, Jordan MI. Optimal feedback control as a theory of motor coordination. Nat Neurosci 2002; (5)11: 1226-1235.
57. Tognoli, E, Lagarde, J, DeGuzman, GC and Kelso JAS The phi complex as a neuromarker of human social coordination. PNAS 2007; 104(19): 8190-8195.
58. Umezawa H. Advanced field theory: micro macro and thermal concepts. Am Inst Phys, New York 1993.
59. Wiener N. Cybernetics. Wiley, New York 1961.