Published January 31, 1989
by Routledge .
Written in English
|The Physical Object|
|Number of Pages||108|
Get this from a library! Synergetics: an Introduction Nonequilibrium Phase Transitions and Self- Organization in Physics, Chemistry and Biology. [Hermann Haken] -- The spontaneous formation of well organized structures out of germs or even out of chaos is one of the most fascinating phenomena and most challenging problems scientists are confronted with. examples in physical and chemical systems where well organized spatial, temporal, or spatio-temporal structures arise out of chaotic states. Furthermore, as in living organisms, the functioning of these systems can be maintained only by a flux of energy (and matter) through them. In contrast to man-made machines, which are. Non-equilibrium spatio-temporal patterns in models of non-linear plankton dynamics Article in Freshwater Biology 45(2) · October with 10 Reads How we measure 'reads'. This book contains the invited papers of an international symposium on synergetics; which was held at Schlol3 Elmau, Bavaria, FRG, April 27 to May 1, At our previous meetings on synergetics the self-organized formation of structures in quite different disciplines stood in the foreground of our interest. More recently it has turned out that phenomena characterized by the word "chaos.
Abstract. Phenomenological models of motions in media with dissipation in the form of lattices of coupled ordinary differential equations or maps appeared about 50 years ago and since then play an important role in study of dynamical properties of systems in material science, fluid dynamics, chemistry, image processing, biology, etc . The Spatial-Temporal Lamellar Structures in the Confined Ideal Polymer Blends Article (PDF Available) in Journal of Statistical Physics (6) · December with 37 Reads How we measure 'reads'. The spatial structures discussed hereafter evolve on macroscopic spatial scales and can be only maintained by permanent non-equilibrium constraint. These dissipative structures are characterized by an intrinsic wavelength that is solely determined by the dynamical parameters and not by the system size or the boundary conditions. SIAM Journal on Applied Mathematics , () Topological characterization of spatial-temporal chaos. Physical Review E () Stability of front solutions in inhomogeneous media. Kinematic Analysis of Wave Pattern Formation in Excitable Media. Non-Equilibrium Dynamics in Chemical Systems, Cited by:
This book contains the invited papers of an international symposium on synergetics; which was held at Schlol3 Elmau, Bavaria, FRG, April 27 to May 1, At our previous meetings on synergetics the self-organized formation of structures in quite different disciplines stood in the foreground of. Mathematical phenomenology of self-organization of nonlinear dynamical systems, based on synergetics approach, as well as fractional calculus approach in modern control theory have been considered. Self-organizing systems are dynamic, non-deterministic, open, exist far from equilibrium, and sometimes employ autocatalytic amplification of Cited by: 7. However in spatio-temporal chaos these quasi standing waves are not invariants of the system on the contrary to the attractors which are the invariants of the temporal chaos. They live for a certain time and then change or disappear altogether. You can see spatio-temporal chaos if you look at a . Physica D 45 () North-Holland REVERSIBLE CELLULAR AUTOMATA AND CHEMICAL TURBULENCE H. HARTMAN Computer Science Department, University of California, Berkeley, CA , USA and P. TAMAYO Physics Department and Center for Polymer Studies, Boston University, Boston, MA , USA Received 26 January Revised manuscript received 21 March We Cited by: