Results 41 to 50 of about 2,594,574 (166)

Normal forms for symplectic matrices [PDF]

open access: yesPortugaliae Mathematica, 2014
We give a self contained and elementary description of normal forms for symplectic matrices, based on geometrical considerations. The normal forms in question are expressed in terms of elementary Jordan matrices and integers with values in \{ -1,0,1\}
openaire   +3 more sources

Stability and Hopf bifurcation in a symmetric Lotka-Volterra predator-prey system with delays

open access: yesElectronic Journal of Differential Equations, 2013
This article concerns a symmetrical Lotka-Volterra predator-prey system with delays. By analyzing the associated characteristic equation of the original system at the positive equilibrium and choosing the delay as the bifurcation parameter, the local ...
Jing Xia, Zhixian Yu, Rong Yuan
doaj  

Chains with Connections of Diffusion and Advective Types

open access: yesMathematics
The local dynamics of a system of oscillators with a large number of elements and with diffusive- and advective-type couplings containing a large delay are studied.
Sergey Kashchenko
doaj   +1 more source

Nonlinear Modal Decoupling of Multi-Oscillator Systems With Applications to Power Systems

open access: yesIEEE Access, 2018
Many natural and manmade dynamical systems that are modeled as large nonlinear multi-oscillator systems like power systems are hard to analyze. For such systems, we propose a nonlinear modal decoupling (NMD) approach inversely constructing as many ...
Bin Wang, Kai Sun, Wei Kang
doaj   +1 more source

Greibach normal form transformation, revisited

open access: yesInformation and Computation, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Blum, Norbert, Koch, Robert
openaire   +1 more source

Stable Cycles and Tori of a System of Three and Four Diffusive Coupled Oscillators

open access: yesМоделирование и анализ информационных систем, 2016
We consider chains of identical diffusive weakly coupled oscillation systems with different conditions on coupling on a chain bound. We suppose that every interacting oscillator undergoes Andronov–Hopf bifurcation, and the coefficient of coupling is ...
E. A. Marushkina
doaj   +1 more source

Parametric Resonance in the Logistic Equation with Delay under a Two-Frequency Perturbation

open access: yesМоделирование и анализ информационных систем, 2013
A logistic equation with a delay feedback circuit and with periodic perturbation of parameters is considered. The problem parameters (a coefficient of the linear growth and a delay) are chosen close to the critical values at which a cycle is bifurcated ...
N. D. Bykova   +2 more
doaj   +1 more source

Applying the Averaging Principle to a Logistic Equation with Rapidly Oscillating Delay

open access: yesМоделирование и анализ информационных систем, 2014
The problem about the local dynamics of the logistic equation with rapidly oscillating time-periodic piecewise constant coefficient of delay was considered. It was shown that the averaged equation is a logistic equation with two delays.
N. D. Bykova, E. V. Grigorieva
doaj   +1 more source

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