Get Chaotic behaviour of deterministic dissipative systems PDF

By Milos Marek, Igor Schreiber

ISBN-10: 0521438306

ISBN-13: 9780521438308

Surveying either theoretical and experimental elements of chaotic habit, this e-book provides chaos as a version for lots of possible random tactics in nature. uncomplicated notions from the speculation of dynamical structures, bifurcation concept and the houses of chaotic strategies are then defined and illustrated by way of examples. A evaluation of numerical equipment used either in reviews of mathematical versions and within the interpretation of experimental information can also be supplied. furthermore, an in depth survey of experimental commentary of chaotic habit and strategies of its research are used to emphasize common good points of the phenomenon.

Show description

Read or Download Chaotic behaviour of deterministic dissipative systems PDF

Best system theory books

Download PDF by Bernhard Ø. Palsson: Systems Biology: Properties of Reconstructed Networks

Genome sequences at the moment are to be had that allow us to figure out the organic parts that make up a cellphone or an organism. the recent self-discipline of platforms biology examines how those parts have interaction and shape networks, and the way the networks generate entire mobilephone capabilities comparable to observable phenotypes.

Download e-book for kindle: Geometric Control of Mechanical Systems: Modeling, Analysis, by Francesco Bullo

 Control conception for mechanical structures is a subject that has received considerable curiosity long ago decade, stimulated by means of purposes equivalent to robotics and automation, self sustaining automobiles in marine, aerospace and different environments, flight keep an eye on, difficulties in nuclear magnetic resonance, micro-electro mechanical structures (MEMS), and fluid mechanics.

Download e-book for kindle: Robust Design: A Repertoire of Biological, Ecological, and by Erica Jen

Strong layout brings jointly sixteen chapters via an eminent team of authors in quite a lot of fields featuring facets of robustness in organic, ecological, and computational platforms. The volme is the 1st to handle robustness in organic, ecological, and computational structures. it really is an outgrowth of a brand new examine application on robustness on the Sante Fe Institute based via the David and Lucile Packard origin.

Download e-book for kindle: Robust Control of Linear Descriptor Systems by Yu Feng, Mohamed Yagoubi

This publication develops unique effects relating to singular dynamic structures following assorted paths. the 1st contains generalizing effects from classical state-space circumstances to linear descriptor platforms, reminiscent of dilated linear matrix inequality (LMI) characterizations for descriptor structures and function regulate less than rules constraints.

Extra info for Chaotic behaviour of deterministic dissipative systems

Example text

Additionally, there exist numerous forms of synchronization, which can be rather elaborate. For example, in “cluster synchronization” [246], different sets of nodes synchronize separately, and it is possible to desynchronize the nodes in some of these sets without disturbing other sets of nodes. Additionally, different densely connected communities in networks can synchronize on different time scales [9], and in “chimera states,” which have now been observed experimentally in a large variety of systems, some sets of nodes synchronize with each other while other sets consist of nodes that oscillate incoherently [239].

A synchronized state) of a dynamical system on a network [10]. There are also other approaches for determining conditions for the stability of a state. , the network with the self-edges removed) of the Jacobian matrix near that state [75, 90]. Additionally, [24] gives an alternative (and also analytically tractable) approach to an MSF for studying synchronization dynamics. The analysis in [24], which is based on calculating path lengths through edges rather than on the eigenvalues of a matrix, allows one to examine global stability of synchronous states in coupled oscillators with both time-independent and time-dependent interactions.

We lose phase-locking at a critical coupling of b D bc WD ˝ !. h D K and ! , bifurcation diagram) of r versus b. When K ! 1, the critical value rc ! , complete incoherence) to complete synchrony in the thermodynamic limit. Kaboom! 11 Using an approach based on phase-locking manifolds, Zou et al. 20) is the value of r for which the phase-locking manifold (and hence the phase-locking solution) ceases to exist. The expressions for rc in Eqs. 20) approach each other as K ! 1, so they give the same result for explosiveness.

Download PDF sample

Chaotic behaviour of deterministic dissipative systems by Milos Marek, Igor Schreiber

by John

Rated 4.37 of 5 – based on 3 votes