Results 191 to 200 of about 12,012,323 (242)

Canonical Floquet theory

Celestial Mechanics and Dynamical Astronomy, 1994
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William Wiesel
exaly   +3 more sources

Floquet Theory for a Volterra Equation

Journal of the London Mathematical Society, 1988
The authors discuss periodic solutions of the integrodifferential equation \[ dy(t)/dt=A(t)y(t)+\int^{t}_{0}C(t,s)y(s)ds+f(t), \] relating two different integrability properties of the resolvent to each other.
Becker, L. C., Burton, T. A., Krisztin, T.   +2 more
openaire   +1 more source

A generalized Floquet theory

Archiv Der Mathematik, 1968
Burton, T. A., Muldowney, J. S.
exaly   +2 more sources

Generalization of the Floquet theory

Nonlinear Analysis: Theory, Methods & Applications, 2009
Two systems of differential equations \(\omega\)-periodic in time are called topologically equivalent if there exists a mapping \(H(t,x)\) such that (i) \(H(t+\omega,x)=H(t,x)\); (ii) for any \(t\), \(H(t,. )\) is a homeomorphism; (iii) if \(x(t)\) is a solution of the first system, then \(H(t,x(t))\) is a solution of the second system.
Zou, Changwu, Shi, Jinlin
openaire   +2 more sources

A time-domain stability analysis method for LLC resonant converter based on Floquet theory

, 2020
LLC resonant converters have been widely used in engineering fields, and the stability of LLC resonant converters is still a research hotspot due to its variable frequency. In this paper, a time-domain stability analysis method based on Floquet theory is
Hong Li, Y. Zou, Xiaheng Jiang, Chen Liu
semanticscholar   +1 more source

Floquet Theory as a Computational Tool

SIAM Journal on Numerical Analysis, 2005
Summary: We describe how classical Floquet theory may be utilized, in a continuation framework, to construct an efficient Fourier spectral algorithm for approximating periodic orbits. At each continuation step, only a single square matrix, whose size equals the dimension of the phase-space, needs to be factorized; the rest of the required numerical ...
openaire   +2 more sources

Analysis of a rotordynamic system with anisotropy and nonlinearity using the Floquet theory and the method of normal forms

Journal of Sound and Vibration, 2019
The system under analysis is composed of an asymmetric rotor, two asymmetric bearings and a nonlinear spring-damper system representing an annular gas seal.
D. Maldonado, A. Karev, P. Hagedorn, T. Ritto, R. Sampaio   +4 more
semanticscholar   +1 more source

Floquet Theory and Newton’s Method

Journal of Applied Mechanics, 1973
Application of Newton’s method to nonlinear vibration problems can lead to a sequence of nonhomogeneous ordinary differential equations with periodic coefficients. The form of the complementary solutions are known from Floquet theory. This paper suggests a method for avoiding “secular terms” that grow with time in the particular solution.
openaire   +1 more source

A floquet theory of the linear synchronous machine

Journal of the Franklin Institute, 1983
Abstract The differential equation describing the three-phase linear synchronous machine containing an arbitrary stator MMF distribution is reformulated and solved as a perturbation theory problem. The solution algorithm presented also produces a transformation capable of reducing to constant coefficient form the differential equation describing the ...
J.L. Stensby, C.W. Brice, R.K. Cavin
openaire   +1 more source

Floquet theory: exponential perturbative treatment

Journal of Physics A: Mathematical and General, 2001
A celebrated Floquet theorem states that the solution \(Z(t)\) to the linear matrix differential equation \[ \frac{dZ}{dt}=A(t)Z(t), \qquad Z(0)=I, \] with a complex \(n\times n\)-matrix \(A\) whose entries are integrable periodic functions of \(t\) with period \(T,\) has the form \[ Z(t)=P(t)\exp(tF), \] where \(F\) and \(P\) are \(n\times n ...
Casas, F., Oteo, J. A., Ros, J.
openaire   +1 more source