By Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier

We current a far better and enlarged model of our ebook Nonlinear - namics of Chaotic and Stochastic platforms released by means of Springer in 2002. primarily, the hot version of the e-book corresponds to its ?rst model. whereas preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso corrected the misprints spotted in a few formulation. along with, 3 new sections were extra to bankruptcy 2. they're “Statistical houses of Dynamical Chaos,” “E?ects of Synchronization in prolonged Self-Sustained Oscillatory Systems,” and “Synchronization in residing Systems.” The sections indicated re?ect the main attention-grabbing effects got via the authors after e-book of the ?rst variation. we are hoping that the hot variation of the publication could be of significant curiosity for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning examine within the ?elds of nonlinear oscillation and wave conception, dynamical chaos, synchronization, and stochastic procedure conception. Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B. Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface to the 1st version Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults on nonlinear dynamics of deterministic and stochastic structures. huge attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. at the one hand, there exists a wealthy literature of fine books on n- linear dynamics and chaos; however, there are lots of awesome monographs and textbooks at the statistical physics of far-from-equilibrium andstochasticprocesses.Thisbookisanattempttocombinetheapproachof nonlinear dynamics in response to the deterministic evolution equations with the method of statistical physics in keeping with stochastic or kinetic equations. one in all our major goals is to teach the $64000 position of noise within the association and houses of dynamic regimes of nonlinear dissipative systems.

Show description

Read or Download Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments (Springer Series in Synergetics) PDF

Best chaos & systems books

Beyond the Second Law: Entropy Production and Non-equilibrium Systems (Understanding Complex Systems)

The second one legislation, a cornerstone of thermodynamics, governs the common path of dissipative, non-equilibrium approaches. however it says not anything approximately their real charges or the chance of fluctuations in regards to the typical. This interdisciplinary ebook, written and peer-reviewed by way of overseas specialists, offers contemporary advances within the look for new non-equilibrium rules past the second one legislation, and their purposes to quite a lot of structures throughout physics, chemistry and biology.

Atlas of Physarum Computing

The slime mildew Physarum polycephalum is a huge mobilephone noticeable by means of the unaided eye. It behaves as an clever nonlinear spatially prolonged energetic medium encapsulated in an elastic membrane. The mobilephone optimises its development styles in configurations of attractants and repellents. This behaviour is interpreted as computation.

Mathematical Analysis of Complex Cellular Activity (Frontiers in Applied Dynamical Systems: Reviews and Tutorials)

This e-book includes evaluate articles on mathematical body structure that take care of heavily comparable issues yet have been written and will be learn independently. the 1st article experiences the elemental conception of calcium oscillations (common to nearly all mobilephone types), together with spatio-temporal behaviors similar to waves.

Strong Nonlinear Oscillators: Analytical Solutions (Mathematical Engineering)

This textbook offers the movement of natural nonlinear oscillatory platforms and diverse answer techniques which offer the approximate recommendations of the robust nonlinear oscillator equations. It provides the author’s original method for the analytical answer method of the natural nonlinear oscillator process.

Extra resources for Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments (Springer Series in Synergetics)

Sample text

Download PDF sample

Rated 4.78 of 5 – based on 41 votes