Topological Character of a Periodic Solution in Three-Dimensional Ordinary Differential Equation System [PDF]
, 1982 T. Uezu, Yoshiyasu Aizawa
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Efficient formulation of the periodic corrections in Brouwer's gravity solution [PDF]
, 2015 The periodic terms of Brouwer's gravity solution are reconstructed in a nonsingular set of variables which are derived from the well-known polar-nodal variables.
Lara, Martin
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On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay [PDF]
Opuscula Mathematica, 2014 We prove that the totally nonlinear second-order neutral differential equation \[\frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)h(x(t))\] \[=\frac{d}{dt}c(t,x(t-\tau(t)))+f(t,\rho(x(t)),g(x(t-\tau(t))))\] has positive periodic solutions by employing the ...
Emmanuel K. Essel, Ernest Yankson
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Global behavior of a rational difference equation with quadratic term [PDF]
Mathematica Moravica, 2014 In this paper, we determine the forbidden set, introduce an explicit formula for the solutions and discuss the global behavior of all solutions of the difference equation Xn+1 = aXnXn-1 bXn - CXn-2, n = 0, 1, … where a, b, c are positive real numbers and
Abo-Zeid R.
doaj
Dynamic Complexity in a Prey-Predator Model with State-Dependent Impulsive Control Strategy
Complexity, 2020 In this paper, an ecological model described by a couple of state-dependent impulsive equations is studied analytically and numerically. The theoretical analysis suggests that there exists a semitrivial periodic solution under some conditions and it is ...
Chuanjun Dai
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PERIODIC SOLUTION OF A MICRO-ELECTROMECHANICAL SYSTEM
Facta Universitatis, Series: Mechanical EngineeringThis paper examines the periodic motion of the micro-electro-mechanical system (MEMS), which is governed by a singularity that makes it challenging to find an exact solution and to understand its dynamical properties.
Jihuan He
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Periodic solution and control optimization of a prey-predator model with two types of harvesting
, 2018 In this work, a prey-predator model with both state-dependent impulsive harvesting and constant rate harvesting is investigated, where the replenishment rate of prey and the harvesting rate are linearly related with the selected threshold. By first using
Jianmei Wang +3 more
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Twisted and Nontwisted Bifurcations Induced by Diffusion
, 1996 We discuss a diffusively perturbed predator-prey system. Freedman and Wolkowicz showed that the corresponding ODE can have a periodic solution that bifurcates from a homoclinic loop.
A. Lunardi +25 more
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Analytical solutions of a particular Hill's differential system [PDF]
INCAS Bulletin, 2019 Consider a second order differential linear periodic equation. This equation is recast as a first-order homogeneous Hill’s system. For this system we obtain analytical solutions in explicit form. The first solution is a periodic function.
Nicolae MARCOV
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Reduction the secular solution to periodic solution in the generalized restricted three-body problem [PDF]
, 2013 The aim of the present work is to find the secular solution around the triangular equilibrium points and reduce it to the periodic solution in the frame work of the generalized restricted thee-body problem.
Elbaz I. Abouelmagd +3 more
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