H. Haken

Articles in Scholarly Journals [Incomplete List]

  1. Pattern Recognition and Synchronization in Pulse-Coupled Neural Networks
    Nonlinear Dynamics, vol. 44, no. 1-4, pp. 269–276, 2006
  2. Synchronization and pattern recognition in a pulse-coupled neural net
    Physica D: Nonlinear Phenomena, vol. 205, no. 1-4, pp. 1–6, 2005
  3. Quantum fluctuations of elementary excitations in discrete media
    Discrete Dynamics in Nature and Society, vol. 2004, no. 1, pp. 169–177, 2004
  4. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 12, no. 11, p. 2619, 2002
  5. Towards a comprehensive theory of brain activity: Coupled oscillator systems under external forces
    Physica D: Nonlinear Phenomena, vol. 144, no. 1-2, pp. 62–86, 2000
  6. Order parameters for class-B lasers with a long time delayed feedback
    Physica D: Nonlinear Phenomena, vol. 145, no. 1-2, pp. 110–129, 2000
  7. Impacts of noise on a field theoretical model of the human brain
    Physica D: Nonlinear Phenomena, vol. 127, no. 3-4, pp. 233–249, 1999
  8. Treatment of combinatorial optimization problems using selection equations with cost terms. Part I. Two-dimensional assignment problems
    Physica D: Nonlinear Phenomena, vol. 134, no. 2, pp. 227–241, 1999
  9. Treatment of combinatorial optimization problems using selection equations with cost terms. Part II. ?-hard three-dimensional assignment problems
    Physica D: Nonlinear Phenomena, vol. 134, no. 2, pp. 242–252, 1999
  10. Visions of synergetics
    Journal of the Franklin Institute, vol. 334, no. 5-6, pp. 759–792, 1997
  11. A derivation of a macroscopic field theory of the brain from the quasi-microscopic neural dynamics
    Physica D: Nonlinear Phenomena, vol. 99, no. 4, pp. 503–526, 1997
  12. International Journal of Bifurcation and Chaos [In Applied Sciences and Engineering], vol. 7, no. 9, p. 1927, 1997
  13. Inverse problem with a dilated kernel containing different singularities
    Physical Review E, vol. 54, no. 3, pp. 2384–2391, 1996
  14. Diffusion of Periodically Forced Brownian Particles Moving in Space-Periodic Potentials
    Physical Review Letters, vol. 76, no. 26, pp. 4874–4877, 1996
  15. A model for phase transitions in human hand movements during multifrequency tapping
    Physica D: Nonlinear Phenomena, vol. 90, no. 1-2, pp. 179–196, 1996
  16. Slaving principle revisited
    Physica D: Nonlinear Phenomena, vol. 97, no. 1-3, pp. 95–103, 1996
  17. Derivation of a field equation of brain activity
    Journal of Biological Physics, vol. 22, no. 2, pp. 101–112, 1996
  18. Inverse problem and singularity of the integration kernel
    Physics Letters A, vol. 205, no. 2-3, pp. 130–136, 1995
  19. A new approach to recognition of deformed patterns
    Pattern Recognition, vol. 27, no. 12, pp. 1697–1705, 1994
  20. A theoretical model of phase transitions in the human brain
    Biological Cybernetics, vol. 71, no. 1, pp. 27–35, 1994
  21. On the constraints necessary for macroscopic prediction of time-dependent stochastic processes
    Reports on Mathematical Physics, vol. 33, no. 1-2, pp. 35–42, 1993
  22. Geometrical phase and amplitude accumulations in dissipative systems with cyclic attractors
    Physical Review Letters, vol. 68, no. 14, pp. 2109–2112, 1992
  23. Elimination of variables in simple laser equations
    Applied Physics B Photophysics and Laser Chemistry, vol. 55, no. 2, pp. 117–120, 1992
  24. An invariance property of the geometrical phase and its consequence in detuned lasers
    Zeitschrift f�r Physik B Condensed Matter, vol. 89, no. 3, pp. 261–262, 1992
  25. Modern Physics Letters B [Condensed Matter Physics; Statistical Physics and Applied Physics], vol. 6, no. 25, p. 1541, 1992
  26. Generalized Ginzburg-Landau Equations for Four Unstable Baroclinic Waves
    Journal of the Atmospheric Sciences, vol. 49, no. 6, pp. 453–461, 1992
  27. Information Flow in Synergetic Computers
    Annalen der Physik, vol. 503, no. 1-3, pp. 97–102, 1991
  28. Traveling waves and pulses in a two-dimensional large-aspect-ratio system
    Physical Review A, vol. 42, no. 12, pp. 7195–7203, 1990
  29. International Journal of Modern Physics B [Condensed Matter Physics; Statistical Physics; Applied Physics], vol. 4, no. 3, p. 365, 1990
  30. Chaotic Behavior and Subcritical Formation of Flow Patterns of Baroclinic Waves for Finite Dissipation
    Journal of the Atmospheric Sciences, vol. 46, no. 9, pp. 1207–1218, 1989
  31. Polynomial expansion of the potential of Fokker-Planck equations with a noninvertible diffusion matrix
    Physical Review A, vol. 40, no. 10, pp. 5966–5978, 1989
  32. Oscillations in the perception of ambiguous patterns a model based on synergetics
    Biological Cybernetics, vol. 61, no. 4, pp. 279–287, 1989
  33. Pattern recognition and associative memory as dynamical processes in a synergetic system
    Biological Cybernetics, vol. 60, no. 6, 1989
  34. Numerical derivation of the generalized Ginzburg-Landau equations of wavy vortex flow
    Zeitschrift f�r Physik B Condensed Matter, vol. 75, no. 3, pp. 393–411, 1989
  35. Nonequilibrium phase transitions in pattern recognition and associative memory
    Zeitschrift f�r Physik B Condensed Matter, vol. 70, no. 1, pp. 121–123, 1988
  36. Pattern recognition and associative memory as dynamical processes in a synergetic system
    Biological Cybernetics, vol. 60, no. 1, 1988
  37. Pattern recognition and associative memory as dynamical processes in a synergetic system
    Biological Cybernetics, vol. 60, no. 2, pp. 107–109, 1988
  38. Quantum theory of the two-photon laser
    Zeitschrift f�r Physik B Condensed Matter, vol. 71, no. 2, pp. 253–259, 1988
  39. Exact stationary probability distribution for a simple model of a nonequilibrium phase transition
    Zeitschrift f�r Physik B Condensed Matter, vol. 71, no. 4, pp. 515–517, 1988
  40. Nonequilibrium phase transitions in pattern recognition and associative memory. Numerical results
    Zeitschrift f�r Physik B Condensed Matter, vol. 71, no. 4, pp. 519–520, 1988
  41. Learning in synergetic systems for pattern recognition and associative action
    Zeitschrift f�r Physik B Condensed Matter, vol. 71, no. 4, pp. 521–526, 1988
  42. Synergetics and computers
    Journal of Computational and Applied Mathematics, vol. 22, no. 2-3, pp. 197–202, 1988
  43. Bifurcation with two parameters in two-dimensional complex space. Applications to laser systems
    Physica D: Nonlinear Phenomena, vol. 30, no. 1-2, pp. 135–150, 1988
  44. A systematic elimination procedure for Ito stochastic differential equations and the adiabatic approximation
    Zeitschrift f�r Physik B Condensed Matter, vol. 68, no. 1, pp. 89–103, 1987
  45. Information, information gain, and efficiency of self-organizing systems close to instability points
    Zeitschrift f�r Physik B Condensed Matter, vol. 61, no. 3, pp. 329–334, 1985
  46. Application of the maximum information entropy principle to selforganizing systems
    Zeitschrift f�r Physik B Condensed Matter, vol. 61, no. 3, pp. 335–338, 1985
  47. Quantities describing local properties of chaotic attractors
    Zeitschrift f�r Physik B Condensed Matter, vol. 59, no. 4, pp. 459–468, 1985
  48. A theoretical model of phase transitions in human hand movements
    Biological Cybernetics, vol. 51, no. 5, pp. 347–356, 1985
  49. Order in chaos
    Computer Methods in Applied Mechanics and Engineering, vol. 52, no. 1-3, pp. 635–652, 1985
  50. Cliff and its inversion as rapid decay of fully developed chaos
    Physics Letters A, vol. 111, no. 5, pp. 211–216, 1985
  51. Theory of two-photon lasers II
    Zeitschrift f�r Physik B Condensed Matter, vol. 56, no. 1, pp. 77–82, 1984
  52. Theory of two-photon lasers III
    Zeitschrift f�r Physik B Condensed Matter, vol. 56, no. 1, pp. 83–90, 1984
  53. Attractors of convex maps with positive Schwarzian derivative in the presence of noise
    Physica D: Nonlinear Phenomena, vol. 10, no. 3, pp. 329–339, 1984
  54. Theory of two-photon lasers I
    Zeitschrift f�r Physik B Condensed Matter, vol. 55, no. 4, pp. 361–370, 1984
  55. Subcritical period doubling in the Duffing equation-type 3 intermittency, attractor crisis
    Zeitschrift f�r Physik B Condensed Matter, vol. 56, no. 4, pp. 345–354, 1984
  56. At least one Lyapunov exponent vanishes if the trajectory of an attractor does not contain a fixed point
    Physics Letters A, vol. 94, no. 2, pp. 71–72, 1983
  57. Chaotic modulation of correlation functions
    Physics Letters A, vol. 96, no. 8, pp. 385–388, 1983
  58. A calculation of transient solutions describing roll and hexagon formation in the convection instability
    Physics Letters A, vol. 99, no. 6-7, pp. 265–267, 1983
  59. Bifurcation of solutions of the laser equations
    Physica D: Nonlinear Phenomena, vol. 8, no. 1-2, pp. 57–89, 1983
  60. Pattern formation in morphogenesis
    Journal of Mathematical Biology, vol. 14, no. 2, pp. 133–151, 1982
  61. Some exact results on discrete noisy maps
    Zeitschrift f�r Physik B Condensed Matter, vol. 46, no. 2, pp. 181–184, 1982
  62. Slaving principle for stochastic differential equations with additive and multiplicative noise and for discrete noisy maps
    Zeitschrift f�r Physik B Condensed Matter, vol. 47, no. 2, pp. 179–187, 1982
  63. Generalized Ginzburg-Landau equations, slaving principle and center manifold theorem
    Zeitschrift f�r Physik B Condensed Matter, vol. 44, no. 1-2, pp. 135–141, 1981
  64. Chapman-Kolmogorov equation and path integrals for discrete chaos in presence of noise
    Zeitschrift f�r Physik B Condensed Matter, vol. 43, no. 2, pp. 185–187, 1981
  65. Intermittent behavior of the logistic system
    Physics Letters A, vol. 82, no. 4, pp. 151–155, 1981
  66. Chapman-Kolmogorov equation for discrete chaos
    Physics Letters A, vol. 84, no. 4, pp. 159–160, 1981
  67. Analytical treatment of pattern formation in the Gierer-Meinhardt model of morphogenesis
    Journal of Mathematical Biology, vol. 6, no. 4, pp. 317–331, 1978
  68. New interpretation and size of strange attractor of the Lorenz model of turbulence
    Physics Letters A, vol. 62, no. 3, pp. 133–134, 1977
  69. Theory of damping and fluctuations of the polariton due to its interaction with lattice vibrations
    Zeitschrift f�r Physik B Condensed Matter and Quanta, vol. 28, no. 1, pp. 51–60, 1977
  70. Generalized Onsager-Machlup function and classes of path integral solutions of the Fokker-Planck equation and the master equation
    Zeitschrift f�r Physik B Condensed Matter and Quanta, vol. 24, no. 3, pp. 321–326, 1976
  71. Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems
    Reviews of Modern Physics, vol. 47, no. 1, pp. 67–121, 1975
  72. The influence of exciton motion on spin-resonance absorption
    Zeitschrift f�r Physik, vol. 250, no. 4, pp. 300–323, 1972
  73. The coupled coherent and incoherent motion of excitons and its influence on the line shape of optical absorption
    Zeitschrift f�r Physik, vol. 249, no. 3, pp. 253–268, 1972
  74. Generalized thermodynamic potential for Markoff systems in detailed balance and far from thermal equilibrium
    Zeitschrift f�r Physik, vol. 243, no. 3, pp. 289–302, 1971
  75. Fluctuations and stability of stationary non-equilibrium systems in detailed balance
    Zeitschrift f�r Physik, vol. 245, no. 2, pp. 141–153, 1971
  76. Laserlight ? first example of a second-order phase transition far away from thermal equilibrium
    Zeitschrift f�r Physik, vol. 237, no. 1, pp. 31–46, 1970
  77. Quantum theory of light propagation in a fluctuating laser-active medium
    Zeitschrift f�r Physik, vol. 213, no. 5, pp. 420–450, 1968
  78. The quantum-fluctuations of the optical parametric oscillator. I
    Zeitschrift f�r Physik, vol. 210, no. 3, pp. 276–302, 1968
  79. Quantum mechanical correlation functions for the electromagnetic field and quasi-probability distribution functions
    Zeitschrift f�r Physik, vol. 213, no. 1, pp. 21–32, 1968
  80. Effective Particle Interaction Via a Bose-Field
    Annalen der Physik, vol. 466, no. 1-6, pp. 123–131, 1963
  81. Zum Identitätsproblem bei Gruppen
    Mathematische Zeitschrift, vol. 56, no. 4, pp. 335–362, 1952