Results 31 to 40 of about 2,594,574 (166)

The quantization of the classical two-dimensional Hamiltonian systems

Discrete and Continuous Models and Applied Computational Science, 2022
The paper considers the class of Hamiltonian systems with two degrees of freedom. Based on the classical normal form, according to the rules of Born-Jordan and Weyl-MacCoy, its quantum analogs are constructed for which the eigenvalue problem is solved ...
Irina N. Belyaeva
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Normal Form and Solitons [PDF]

, 2008
32 pages, AMSLaTeX, 8 ...
Hiraoka, Y., Kodama, Y.
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Modeling of the Human Cardiovascular System: Implementing a Sliding Mode Observer for Fault Detection and Isolation

Mathematical and Computational Applications
This paper presents a mathematical model of the cardiovascular system (CVS) designed to simulate both normal and pathological conditions within the systemic circulation.
Dulce A. Serrano-Cruz, Latifa Boutat-Baddas, Mohamed Darouach, Carlos M. Astorga-Zaragoza, Gerardo V. Guerrero Ramírez   +4 more
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Normal form of $O(2)$ Hopf bifurcation in a model of a nonlinear optical system with diffraction and delay

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper we construct an $O(2)$-equivarint Hopf bifurcation normal form for a model of a nonlinear optical system with delay and diffraction in the feedback loop whose dynamics is governed by a system of coupled quasilinear diffusion equation and ...
Stanislav Budzinskiy, Alexander Razgulin
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Planetary Birkhoff normal forms

Journal of Modern Dynamics, 2011
Birkhoff normal forms for the (secular) planetary problem are investigated. Existence and uniqueness is discussed and it is shown that the classical Poincare variables and the ʀᴘs-variables (introduced in [6]), after a trivial lift, lead to the same Birkhoff normal form; as a corollary the Birkhoff normal form (in Poincare variables) is degenerate
Chierchia L., Pinzari G.
openaire   +4 more sources

Linearization of hyperbolic resonant fixed points of diffeomorphisms with related Gevrey estimates in the planar case

Electronic Journal of Differential Equations, 2017
We show that any germ of smooth hyperbolic diffeomophism at a fixed point is conjugate to its linear part, using a transformation with a Mourtada type functions, which (roughly) means that it may contain terms like $x \log |x|$.
Patrick Bonckaert, Vincent Naudot
doaj  

A Kind of Forest Disease and Pest Infection Model with Time Delay

Journal of Harbin University of Science and Technology
Controlling forest diseases and insect pests is beneficial to increase forest carbon sink. It is of great significance to realize China ′s“ double carbon ”strategy.
FEI Xingyan, DING Yuting
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Asymmetric Interaction of a Pair FitzHugh–Nagumo Oscillators

Моделирование и анализ информационных систем, 2014
A pair of diffusion connected FitzHugh–Nagumo oscillators with an asymmetric interaction are considered. The problem is investigated in the close to critical case, where the matrix of the linear part of the system has a pair of purely imaginary ...
E. A. Marushkina
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Local Dynamics of an Equation with Large Exponential Distributed Delay

Моделирование и анализ информационных систем, 2011
We study properties of local dynamics of a differential equation with exponentially distributed delay. In critical cases we built special evolutionary equations.
I. S. Kashchenko
doaj  

Local Dynamics of a Second Order Equation with Large Exponentially Distributed Delay and Considerable Friction

Моделирование и анализ информационных систем, 2015
We study local dynamics of a nonlinear second order differential equation with a large exponentially distributed delay in the vicinity of the zero solution under the condition γ>√ 2. The parameter γ can be interpreted as a friction coefficient.
D. V. Glazkov
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