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Determining Lyapunov Exponents from a Time Series

by Alan Wolf, Jack B. Swift, Harry L. Swinney, John A. Vastano - Physica , 1985
"... We present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series. Lyapunov exponents, which provide a qualitative and quantitative characterization of dynamical behavior, are related to the exponentially fast divergence or convergence of n ..."
Abstract - Cited by 495 (1 self) - Add to MetaCart
elements in an attractor. The method is tested on model systems with known Lyapunov spectra, and applied to data for the Belousov-Zhabotinskii reaction and Couette-Taylor flow. Contents 1.

Achieving 100% Throughput in an Input-Queued Switch

by Nick McKeown, Adisak Mekkittikul, Venkat Anantharam, Jean Walrand - IEEE TRANSACTIONS ON COMMUNICATIONS , 1996
"... It is well known that head-of-line (HOL) blocking limits the throughput of an input-queued switch with FIFO queues. Under certain conditions, the throughput can be shown to be limited to approximately 58%. It is also known that if non-FIFO queueing policies are used, the throughput can be increas ..."
Abstract - Cited by 527 (27 self) - Add to MetaCart
It is well known that head-of-line (HOL) blocking limits the throughput of an input-queued switch with FIFO queues. Under certain conditions, the throughput can be shown to be limited to approximately 58%. It is also known that if non-FIFO queueing policies are used, the throughput can

An approach to correlate tandem mass spectral data of peptides with amino acid sequences in a protein database

by Jimmy K. Eng, Ashley L. Mccormack, John R. Yates - J. Am. Soc. Mass Spectrom , 1994
"... A method to correlate the uninterpreted tandem mass spectra of peptides produced under low energy (lo-50 eV) collision conditions with amino acid sequences in the Genpept database has been developed. In this method the protein database is searched to identify linear amino acid sequences within a mas ..."
Abstract - Cited by 944 (19 self) - Add to MetaCart
in the tandem mass spectrum. In general, a difference greater than 0.1 between the normalized cross-correlation functions of the first- and second-ranked search results indicates a successfol match between sequence and spectrum. Searches of species-specific protein databases with tandem mass spectra acquired

Breaking Spectrum Gridlock with Cognitive Radios: An Information Theoretic Perspective

by Andrea Goldsmith, Syed Ali Jafar, Ivana Marić, Sudhir Srinivasa , 2008
"... Cognitive radios hold tremendous promise for increasing spectral efficiency in wireless systems. This paper surveys the fundamental capacity limits and associated transmission techniques for different wireless network design paradigms based on this promising technology. These paradigms are unified b ..."
Abstract - Cited by 265 (4 self) - Add to MetaCart
by the definition of a cognitive radio as an intelligent wireless communication device that exploits side information about its environment to improve spectrum utilization. This side information typically comprises knowledge about the activity, channels, codebooks and/or messages of other nodes with which

The laplacian spectrum of graphs”.

by Bojan Mohar , Ed Y Alavi , G Chartrand , O R Oellermann , A J Schwenk , Wiley - In Graph Theory, Combinatorics, , 1991
"... Abstract. The paper is essentially a survey of known results about the spectrum of the Laplacian matrix of graphs with special emphasis on the second smallest Laplacian eigenvalue λ 2 and its relation to numerous graph invariants, including connectivity, expanding properties, isoperimetric number, ..."
Abstract - Cited by 228 (2 self) - Add to MetaCart
Abstract. The paper is essentially a survey of known results about the spectrum of the Laplacian matrix of graphs with special emphasis on the second smallest Laplacian eigenvalue λ 2 and its relation to numerous graph invariants, including connectivity, expanding properties, isoperimetric number

A Smooth Converse Lyapunov Theorem for Robust Stability

by Yuandan Lin, Eduardo D. Sontag, Yuan Wang - SIAM Journal on Control and Optimization , 1996
"... . This paper presents a Converse Lyapunov Function Theorem motivated by robust control analysis and design. Our result is based upon, but generalizes, various aspects of well-known classical theorems. In a unified and natural manner, it (1) allows arbitrary bounded time-varying parameters in the sys ..."
Abstract - Cited by 196 (42 self) - Add to MetaCart
. This paper presents a Converse Lyapunov Function Theorem motivated by robust control analysis and design. Our result is based upon, but generalizes, various aspects of well-known classical theorems. In a unified and natural manner, it (1) allows arbitrary bounded time-varying parameters

Cooperative sensing among cognitive radios

by Shridhar Mubaraq Mishra, Anant Sahai, Robert W. Brodersen - In Proc. of the IEEE International Conference on Communications (ICC , 2006
"... Abstract — Cognitive Radios have been advanced as a technology for the opportunistic use of under-utilized spectrum since they are able to sense the spectrum and use frequency bands if no Primary user is detected. However, the required sensitivity is very demanding since any individual Radio might f ..."
Abstract - Cited by 289 (15 self) - Add to MetaCart
Abstract — Cognitive Radios have been advanced as a technology for the opportunistic use of under-utilized spectrum since they are able to sense the spectrum and use frequency bands if no Primary user is detected. However, the required sensitivity is very demanding since any individual Radio might

Bethe Ansatz for Quantum Strings

by Gleb Arutyunov, Sergey Frolov, Matthias Staudacher , 2004
"... We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS5×S 5 at large string tension and restricted to certain large charge states from a closed su(2) subsector. The ansatz differs from the recently proposed all-loop gauge theory asymptotic Bethe ansatz by add ..."
Abstract - Cited by 281 (16 self) - Add to MetaCart
by additional factorized scattering terms for the local excitations. We also show that our ansatz quantitatively reproduces everything that is currently known about the string spectrum of these states. Firstly, by construction, we recover the integral Bethe equations describing semiclassical spinning strings

On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators

by Artur Avila - Comm. Math. Phys
"... Abstract. We exhibit a dense set of limit periodic potentials for which the corresponding one-dimensional Schrödinger operator has a positive Lyapunov exponent for all energies and a spectrum of zero Lebesgue measure. No ex-ample with those properties was previously known, even in the larger class ..."
Abstract - Cited by 16 (2 self) - Add to MetaCart
Abstract. We exhibit a dense set of limit periodic potentials for which the corresponding one-dimensional Schrödinger operator has a positive Lyapunov exponent for all energies and a spectrum of zero Lebesgue measure. No ex-ample with those properties was previously known, even in the larger class

Linear cocycles with simple Lyapunov spectrum are dense in ...

by Ludwig Arnold, Nguyen Dinh Cong , 1997
"... We prove that the set of linear cocycles with simple Lyapunov spectrum is dense in the space of all linear cocycles equipped with the uniform topology. 1 Introduction The study of the Lyapunov spectrum of linear cocycles is one of central tasks of the theory of random dynamical systems. In various ..."
Abstract - Cited by 8 (1 self) - Add to MetaCart
Guivarc'h and Raugi [7], Goldsheid and Margulis [6], Arnold and Nguyen Dinh Cong [2]). We mention that in this case, the cocycles with simple Lyapunov spectrum form a residual set [2]. However, in the general (stationary) case not much has been done. It is known that in the two-dimensional case
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