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Nonlinear Wave Interactions in Nonlinear Nonintegrable Systems

Studies in Applied Mathematics, 1998
The main goal of this article is to understand the qualitative appearances of regular arrays of pulses that come up in nonintegrable systems in a variety of contexts, particularly in fluid dynamics. It is shown that even nonintegrable systems have a kind of particle dynamics made up of solitary waves.
Berloff, Natalia G., Howard, Louis N.
openaire   +2 more sources

Expansions for Nonlinear Systems*

Bell System Technical Journal, 1982
In this paper we study operator-type models of dynamic nonlinear physical systems, such as communication channels and control systems. Attention is focused on the problem of determining conditions under which there exists a power-series-like expansion, or a polynomial-type approximation, for a system's outputs in terms of its inputs.
openaire   +1 more source

Nonlinear learning control for a class of nonlinear systems

Automatica, 2001
A nonlinear learning control scheme for asymptotic stabilization of a class of cascaded nonlinear systems is proposed. The direct Lyapunov method is one of the essential steps in the method. An illustrative example is provided.
Ham, C., Qu, Z., Kaloust, J.
openaire   +3 more sources

Equivalent nonlinearization of nonlinear systems to random excitations

Probabilistic Engineering Mechanics, 1991
The broadest class of solvable reduced Fokker-Planck equation is given and a new equivalent nonlinear method is presented to obtain an approximate probability density function for the response of a nonlinear oscillator to Gaussian white noise excitations. The method is based on the least meansquare criterion and Euler equation.
C. W. S. To, D. M. Li
openaire   +1 more source

Linearization of Nonlinear Dynamic Systems

IEEE Transactions on Instrumentation and Measurement, 2004
In this paper we propose a method to linearize a nonlinear dynamic system: the nonlinear distortions are reduced, and the linear dynamics are corrected to a flat amplitude and linear phase in a user defined frequency band.
Johan Schoukens   +4 more
openaire   +4 more sources

Innovation Systems by Nonlinear Networks

Nonlinear Dynamics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. ANDRIANI   +5 more
openaire   +7 more sources

Investigation of a nonlinear system

1969
Summary: Translation from Differ. Uravn. 2, 1132--1133 (1966; Zbl 0149.05402).
Kobyshev, V. A., Shakhtarin, B. I.
openaire   +2 more sources

Factorization of Nonlinear Systems

1991
We introduce a new concept of factor distribution for a nonlinear system as anew tool for studying the decomposition of such a system. The idea of factorizing generalizes a similar idea from linear system theory as well as the notion of controlled invariance for nonlinear systems.
openaire   +1 more source

Finite-Time Fuzzy Control of Stochastic Nonlinear Systems

IEEE Transactions on Cybernetics, 2020
Fang Wang, Bing Chen, Chong Lin
exaly  

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