نتایج جستجو برای: polynomial dynamics
تعداد نتایج: 534873 فیلتر نتایج به سال:
This paper continues our investigation of the dynamics of polynomial diffeomorphisms of C 2 carried out in [BS1-7]. There are several reasons why the polynomial diffeomorphisms of C 2 form an interesting family of dynamical systems. Not the least of these is the fact that there are connections with two other areas of dynamics: polynomial maps of C and diffeo-morphisms of R 2 , which have each r...
ABSTRACT. Suppose G is a graph, A(G) its adjacency matrix and f(G, x)=x^n+a_(n-1)x^(n-1)+... is the characteristic polynomial of G. The matching polynomial of G is defined as M(G, x) = x^n-m(G,1)x^(n-2) + ... where m(G,k) is the number of k-matchings in G. In this paper, we determine the relationship between 2k-th coefficient of characteristic polynomial, a_(2k), and k-th coefficient of matchin...
in this study, the problem of determining an optimal trajectory of a nonlinear injection into orbit problem with minimum time was investigated. the method was based on orthogonal polynomial approximation. this method consists of reducing the optimal control problem to a system of algebraic equations by expanding the state and control vector as chebyshev or legendre polynomials with undetermined...
The Narumi-Katayama index is the first topological index defined by the product of some graph theoretical quantities. Let G be a simple graph. Narumi-Katayama index of G is defined as the product of the degrees of the vertices of G. In this paper, we define the Narumi-Katayama polynomial of G. Next, we investigate some properties of this polynomial for graphs and then, we obtain ...
The simplest holomorphic dynamical systems which display interesting behavior are the polynomial maps of C. The dynamical study of these maps began with Fatou and Julia in the 1920’s and is currently a very active area of research. If we are interested in studying invertible holomorphic dynamical systems, then the simplest examples with interesting behavior are probably the polynomial diffeomor...
We present a new technique for analyzing the rate of convergence of local dynamics in bargaining networks. The technique reduces balancing in a bargaining network to optimal play in a randomturn game. We analyze this game using techniques from martingale and Markov chain theory. We obtain a tight polynomial bound on the rate of convergence for a nontrivial class of unweighted graphs (the previo...
Adaptive control has the potential to improve performance and reliability in aircraft systems. Implementation of adaptive control on commercial and military aircraft requires verification and validation of the control system’s robustness to modeling error, uncertainty, and time delay. Currently, there is a lack of tools available to rigorously analyze the robustness of adaptive controllers due ...
Graphical congestion games provide powerful models for a wide range of scenarios where spatially distributed individuals share resources. Understanding when graphical congestion game dynamics converge to pure Nash equilibria yields important engineering insights into when spatially distributed individuals can reach a stable resource allocation. In this paper, we study the convergence dynamics o...
Graphical congestion games provide powerful models for a wide range of scenarios where spatially distributed individuals share resources. Understanding when graphical congestion game dynamics converge to pure Nash equilibria yields important engineering insights into when spatially distributed individuals can reach a stable resource allocation. In this paper, we study the convergence dynamics o...
This paper provides methods and experimental results for recursively estimating the sprung mass of a vehicle driving on rough terrain. It presents a base-excitation model of vertical ride dynamics which treats the unsprung vertical accelerations, instead of the terrain profile, as the ride dynamics model input. It employs recently developed methods based on polynomial chaos theory and on the ma...
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