| Haken, H. (1983) Advanced Synergetics: Instability Hierarchies of Self-Organising Systems and Devices. Springer-Verlag, Berlin. |
....# #,1,and# with weak, nonlinear coupling. If the coupling is not too strong, the associated trajectories lie on a 3 torus in phase space, and the dynamics can be described in terms of a triplet of phase angles. The series expansion (4. 5) for #(t) then, will contain terms of the form (see [11]) Am m # cos(m #t) Bm m # sin(m #t) where m # = m 1 # # m 2 1 m 3 #. Since the m s can take on negative values, there may be combinations of them such that m # # 0as m = m 1 m 2 m 3 ##, and the series for #(t) need not converge. In two papers written by Moser in ....
H. Haken, Advanced Synergetics: Instability Hierarchies of Self-Organizing Systems and Devices, Springer-Verlag, New York, 1983.
....puzzle to be solved is how. The origins of complexity are currently being studied in many different areas of science, ranging from chemistry [15] to biology [21] The general study of complex systems, which started in earnest in the sixties with the study of dissipative systems [27] synergetics [12], and chaos [25] is trying to identify general mechanisms that give rise to complexity. These mechanisms include evolution, co evolution, self organisation and level formation. The rest of the paper describes how these same mechanisms might explain the origins and evolution of language. This ....
Haken, H. (1983) Advanced Synergetics: Instability Hierarchies of Self-Organising Systems and Devices. Springer-Verlag, Berlin.
....can be reduced in their dynamics to a low dimensional system. The reason is that the many mechanically possible df s are coupled and do not vary independently from each other. One popular physico mathematical approach to understanding this reduction in dimensionality is the slaving principle [3]. This topic deserves a more detailed discussion than is possible here. Let me only mention that motor action patterns involving many dozens of muscular and joint df s have been described in terms of low dimensional systems in human psychophysics [8] 7] DD target dynamics makes use of this ....
H. Haken. Advanced Synergetics - Instability Hierarchies of Self-Organizing Systems and Devices, volume 20 of Springer Series in Synergetics. Springer, Berlin/Heidelberg, 1983.
....develop a periodic behavior T 1 . Based on experimental evidence, see Gollub and Swinney (1975) a secondary bifurcation occurs at 3 , in that another fundamental frequency is found in the basic pattern. For 3 4 , the trajectories seem to exist on a 2 dimensional torus T 2 . See Haken (1983), for more details. The local dynamical behavior of all of these states, before, during, and after the bifurcations can be described in terms of exponential trichotomies in the NavierStokes equations. At the experimental level, one finds a robustness in the bifurcation patterns given in (TC) The ....
H Haken (1983), Advanced Synergetics: Instability Hierarchies of Self-Organizing Systems and Devices, Springer Verlag, New York.
....of Self organization Recently, self organization has been drawing attention in many research areas ranging from natural sciences to humanities. Several scientific research areas are concerned with self organizing systems, such as dissipative structure theory [Pri 77] synergetics [Hak 78, Hak 83] the theory of molecule evolution [Eig 79] autopoiesis theory [Mat 80] bio holonics [Shi 88] and natural and artificial neural networks. Jantsch [Jan 80] discusses a wide area of research on self organization from a unified philosophical view, and indi cates its direction for the future. These ....
Haken, H.: Advanced Synergetics: Instability Hierarchies of Self-organizing Systems and Devices , Springer-Verlag GmbH & Co. KG, 1983.
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Haken, H. (1983) Advanced Synergetics: Instability Hierarchies of Self-Organising Systems and Devices. Springer-Verlag, Berlin.
No context found.
Haken, H. (1983). Advanced synergetics: instability hierarchies of selforganisating systems and devices, Springer, Berlin.
No context found.
Haken, H. (1983). Advanced synergetics: instability hierarchies of selforganisating systems and devices, Springer, Berlin.
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