New Advances on Chaotic Intermittency and its Applications
Resource Information
The work New Advances on Chaotic Intermittency and its Applications represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
New Advances on Chaotic Intermittency and its Applications
Resource Information
The work New Advances on Chaotic Intermittency and its Applications represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 New Advances on Chaotic Intermittency and its Applications
 Statement of responsibility
 by Sergio Elaskar, Ezequiel del Río
 Subject

 Electrical Engineering
 Fluids
 Mathematical physics
 Mechanics
 Complexity
 Electrical Engineering
 Fluids
 Mathematical physics
 Mechanics, Applied
 Electrical engineering
 Fluid and Aerodynamics
 Mechanics
 Electrical engineering
 Mechanics, Applied
 Neurosciences
 Electronic resources
 Electrical Engineering
 Complexity, Computational
 Complexity, Computational
 Engineering
 Neurosciences
 Engineering
 Mathematical Applications in the Physical Sciences
 Electrical engineering
 Engineering
 Theoretical and Applied Mechanics
 Mechanics
 Language
 eng
 Summary
 One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in onedimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data. As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work. This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the FokkerPlank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincaré map. Finally, in Chapter 9, a new scheme to evaluate the RPD function using the PerronFrobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.
 Image bit depth
 0
 LC call number
 TA349359
 Literary form
 non fiction
Context
Context of New Advances on Chaotic Intermittency and its ApplicationsEmbed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/resource/idVJBpjbam4/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/resource/idVJBpjbam4/">New Advances on Chaotic Intermittency and its Applications</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Work New Advances on Chaotic Intermittency and its Applications
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/resource/idVJBpjbam4/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/resource/idVJBpjbam4/">New Advances on Chaotic Intermittency and its Applications</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>