Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Intelligent analysis of chaos roughness in regularity of walk for a two legged robot
Date
2006-07-01
Author
Kaygisiz, BH
Erkmen, İsmet
Erkmen, Aydan Müşerref
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
165
views
0
downloads
Cite This
We describe in this paper a new approach to the identification of the chaotic boundaries of regular (periodic and quasiperiodic) regions in nonlinear systems, using cell mapping equipped with measures of fractal dimension and rough sets. The proposed fractal-rough set approach considers a state space divided into cells where cell trajectories are determined using cell to cell mapping technique. All image cells in the state space, equipped with their individual fractal dimension are then classified as being members of lower approximation, upper approximation or boundary region of regular regions with the help of rough set theory. The rough set with fractal dimension as its attribute is used to model the uncertainty of the regular regions, treated as sets of cells in this paper. This uncertainty is then smoothed by a reinforcement learning algorithm in order to enrich regular regions that are used for control. Our approach is applied to the walking control of a two legged robot, which fails very frequently due to chaotic behavior.
Subject Keywords
General Mathematics
URI
https://hdl.handle.net/11511/49024
Journal
CHAOS SOLITONS & FRACTALS
DOI
https://doi.org/10.1016/j.chaos.2005.08.047
Collections
Department of Electrical and Electronics Engineering, Article
Suggestions
OpenMETU
Core
NONCOMMUTATIVE MACKEY THEOREM
Dosi, Anar (World Scientific Pub Co Pte Lt, 2011-04-01)
In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.
Exponential stability of periodic solutions of recurrent neural networks with functional dependence on piecewise constant argument
Akhmet, Marat; Cengiz, Nur (The Scientific and Technological Research Council of Turkey, 2018-01-01)
In this study, we develop a model of recurrent neural networks with functional dependence on piecewise constant argument of generalized type. Using the theoretical results obtained for functional differential equations with piecewise constant argument, we investigate conditions for existence and uniqueness of solutions, bounded solutions, and exponential stability of periodic solutions. We provide conditions based on the parameters of the model.
Geometric invariant theory and Einstein-Weyl geometry
Kalafat, Mustafa (Elsevier BV, 2011-01-01)
In this article, we give a survey of geometric invariant theory for Toric Varieties, and present an application to the Einstein-Weyl geometry. We compute the image of the Minitwistor space of the Honda metrics as a categorical quotient according to the most efficient linearization. The result is the complex weighted projective space CP(1,1,2). We also find and classify all possible quotients. (C) 2011 Published by Elsevier GmbH.
On equivariant Serre problem for principal bundles
Biswas, Indranil; Dey, Arijit; Poddar, Mainak (World Scientific Pub Co Pte Lt, 2018-08-01)
Let E-G be a Gamma-equivariant algebraic principal G-bundle over a normal complex affine variety X equipped with an action of Gamma, where G and Gamma are complex linear algebraic groups. Suppose X is contractible as a topological Gamma-space with a dense orbit, and x(0) is an element of X is a Gamma-fixed point. We show that if Gamma is reductive, then E-G admits a Gamma-equivariant isomorphism with the product principal G-bundle X x rho E-G(x(0)), where rho : Gamma -> G is a homomorphism between algebraic...
Improved p-ary codes and sequence families from Galois rings of characteristic p(2)
LİNG, SAN; Özbudak, Ferruh (Society for Industrial & Applied Mathematics (SIAM), 2006-01-01)
This paper explores the applications of a recent bound on some Weil-type exponential sums over Galois rings in the construction of codes and sequences. A family of codes over F-p, mostly nonlinear, of length p(m+1) and size p(2) (.) p(m(D-[D/p2])), where 1 <= D <= p(m/2), is obtained. The bound on this type of exponential sums provides a lower bound for the minimum distance of these codes. Several families of pairwise cyclically distinct p-ary sequences of period p(p(m - 1)) of low correlation are also cons...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
B. Kaygisiz, İ. Erkmen, and A. M. Erkmen, “Intelligent analysis of chaos roughness in regularity of walk for a two legged robot,”
CHAOS SOLITONS & FRACTALS
, pp. 148–161, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49024.