Bifurcation and Chaos: Theory and Applications by Professor Jan Awrejcewicz (auth.), Professor Jan Awrejcewicz

By Professor Jan Awrejcewicz (auth.), Professor Jan Awrejcewicz (eds.)

Bifurcation and Chaos provides a set of in particular written articles describing the idea and alertness of nonlinear dynamics to a wide selection of difficulties encountered in physics and engineering. every one bankruptcy is self-contained and contains an effortless creation, an exposition of the current cutting-edge, and information of modern theoretical, computational and experimental effects. integrated one of the useful platforms analysed are: hysteretic circuits, Josephson circuits, magnetic structures, railway dynamics, rotor dynamics and nonlinear dynamics of speech. This e-book includes very important info and concepts for all mathematicians, physicists and engineers whose paintings in R&D or academia contains the sensible outcome of chaotic dynamics.

Show description

Read Online or Download Bifurcation and Chaos: Theory and Applications PDF

Best theory books

Voodoo Histories: The Role of the Conspiracy Theory in Shaping Modern History

A background so humorous, so precise, so frightening, it's certain to be known as a conspiracy.

"Meticulous in its learn, forensic in its reasoning, strong in its argument, and infrequently hilarious in its debunking, Voodoo Histories is a hugely enjoyable rumble with the century's significant conspiracy theorists and their theories" (John Lahr). From Pearl Harbor to 9-11 to the assassination of JFK to the Birthers, Aaronvitch probes and explores the most important conspiracy theories (and theorists) of our time. In doing so, he examines why humans think those conspiracies and makes a controversy for a real skepticism.

Theory and Applications of Relational Structures as Knowledge Instruments: COST Action 274, TARSKI. Revised Papers

Relational buildings abound in our day-by-day surroundings: relational databases, facts mining, scaling tactics, choice relatives, and so forth. because the documentation of medical effects accomplished in the ecu price motion 274, TARSKI, this e-book advances the knowledge of relational constructions and using relational tools in quite a few software fields.

Theory and Practice of Risk Assessment: ICRA 5, Tomar, Portugal, 2013

This publication covers the most recent leads to the sphere of threat research. awarded subject matters comprise probabilistic types in melanoma study, versions and strategies in durability, epidemiology of melanoma chance, engineering reliability and reasonably-priced hazard difficulties. The contributions of this quantity originate from the fifth overseas convention on possibility research (ICRA 5).

Extra resources for Bifurcation and Chaos: Theory and Applications

Example text

Traditionally, the 'thermodynamic averages' are calculated from the 'canonical' partition function (eqs. (13), (16)), and little use is made of periodic orbits. However, a more recent approach put forward by Cvitanovic and collaborators [29] suggested the use of a 'grand-canonical-like' partition, which explicitly takes account of the unstable periodic orbits of the system. Generalizing our model, we consider a particular restriction imposed on a three-scale Cantor set by simple, but nontrivial, grammars.

This object of observation is directly related to the instability properties of the system. The basic quantity to be considered is then the slope of the dynamical map or, more conveniently, the logarithm of the slope. To provide a simple example for illustration we consider the supercritical tent map (Fig. Ia). As the result of the first observation process, the Cantor set shown in Fig. ). As the result of an observation from the second point of view, the result shown in Fig Ic is obtained. Now, each element of the asymptotic set can be labelled by the sequence of the unstable elements which led to its appearance-examples are indicated in Fig.

470, Springer, Berlin 1975 9. S. Ellis: Entropy, large deviation and statistical mechanics. Springer, New York 1985 10. Y. Oono: Large deviation and statistical physics. Progr. Theor. Phys. Suppl. 99, 165 (1989) 11. O. Lopez: Entropy and large deviation. Nonlinearity 3, 527 (1990) 12. A. Muenster: Statistical thermodynamics. Springer, Berlin 1969 13. C. H. P. Kadanoff, I. Procaccia, B. Shraiman: Fractal measures and their singularities - the characterization of strange sets. Phys. Rev. A 33, 1141 (1986) 14.

Download PDF sample

Rated 4.17 of 5 – based on 32 votes