Basins of attraction in a harmonically excited spherical bubble model.

نویسندگان
چکیده

منابع مشابه

Perturbed Basins of Attraction

Let F be an automorphism of C which has an attracting fixed point. It is well known that the basin of attraction is biholomorphically equivalent to C. We will show that the basin of attraction of a sequence of automorphisms f1, f2, . . . is also biholomorphic to C if every fn is a small perturbation of the original map F .

متن کامل

Partition of networks into basins of attraction.

We study partition of networks into basins of attraction based on a steepest ascent search for the node of highest degree. Each node is associated with, or "attracted" to its neighbor of maximal degree, as long as the degree is increasing. A node that has no neighbors of higher degree is a peak, attracting all the nodes in its basin. Maximally random scale-free networks exhibit different behavi...

متن کامل

Shaping attraction basins in neural networks

-An interesting duality between two formally related schemes for neural associative memory is exploited to shape the attraction basins of stored memories. Considered are a family of spectral algorithms--based on specifying the spectrum of the matrix of weights as a Junction of the memories to be stored--and a class of dual spectral algorithms--based on manipulations of the orthogonal subspace o...

متن کامل

Classifying and quantifying basins of attraction.

A scheme is proposed to classify the basins for attractors of dynamical systems in arbitrary dimensions. There are four basic classes depending on their size and extent, and each class can be further quantified to facilitate comparisons. The calculation uses a Monte Carlo method and is applied to numerous common dissipative chaotic maps and flows in various dimensions.

متن کامل

Newton's method's basins of attraction revisited

In this paper, we revisit the chaotic number of iterations needed by Newton's method to converge to a root. Here, we consider a simple modified Newton method depending on a parameter. It is demonstrated using polynomiography that even in the simple algorithm the presence and the position of the convergent regions, i.e. regions where the method converges nicely to a root, can be complicatedly a ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Periodica Polytechnica Mechanical Engineering

سال: 2012

ISSN: 0324-6051,1587-379X

DOI: 10.3311/pp.me.2012-2.08