Analysis and Control of Complex Nonlinear Processes in by L. Schimansky-geier, B. Fiedler, J. Kurths, E. Scholl

By L. Schimansky-geier, B. Fiedler, J. Kurths, E. Scholl

Nonlinear dynamics of complicated tactics is an energetic examine box with huge numbers of guides in simple study, and extensive functions from assorted fields of technology. Nonlinear dynamics as manifested via deterministic and stochastic evolution types of advanced habit has entered statistical physics, actual chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, and so on. This box of analysis has caused a brand new terminology in technological know-how attached with new questions, difficulties, suggestions and strategies. New eventualities have emerged for spatio-temporal buildings in dynamical structures faraway from equilibrium. Their research and attainable regulate are interesting and tough elements of the present learn. The duality of basic and utilized learn is a focus of its major attractivity and fascination. easy themes and foundations are consistently associated with concrete and specific examples. versions and measurements of complicated nonlinear approaches evoke and impress new primary questions that diversify and increase the mathematical thoughts and instruments. In go back, new mathematical ways to modeling and research amplify the scope and potency of utilized examine.

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Additional resources for Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology

Sample text

2 Stochastic synchronization in periodically driven systems . . . . . . 1 Synchronization in deterministic systems . . . . . . . . . 2 Effective synchronization in stochastic systems . . . . . . . 3 Discrete models of continuous stochastic dynamics . . . . . . . . 1 The doublewell system - a discrete Markovian description . . . . 2 Excitable dynamics - a phenomenological discrete model . . . . 4 The effective diffusion coefficient and mean frequency in periodically driven renewal processes .

Chen, and C. Tang. A forest-fire model and some thoughts on turbulence. Physics Letters A , 147, 1990. [4] M. Bar, M. Eiswirth, H. H. Rotermund, and G. Ertl. Solitary wave phenomena in an excitable surface reaction. Physical Review Letters, 69:945-948, 1992. [5] V. Beato and H. Engel. Coherence resonance phenomena in an excitable system driven by colored noise. Fluct. , 6:L85-L94, 2006. [6] V. Beato, H. Engel, and L. Schimansky-Geier. Pulse trains propagating through excitable media subjected to external noise.

We are interested in the effects that fluctuating excitability induces in the emergence of patterns in the spatially extended system. This issue has been already tackled in previous works, most of them concentrating on the non-excitable regime, where no structures can propagate under purely deterministic conditions. In such a situation, an optimal amount of noise has been seen to support patterns as spiral waves [24, 251, coherent structures [51], traveling pulses [27], and pulsating spots [21].

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