Results 31 to 40 of about 8,136,999 (366)
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
semanticscholar +1 more source
Periods of periodic solutions and the Lipschitz constant [PDF]
Proceedings of the American Mathematical Society, 1969 let x = -Lx2, X2 = Lxi, x =0 for 2 < i < n, then (2) is satisfied letting F(x) = (-Lx2, Lxl, 0, * * *, 0), and all nonconstant solutions are periodic with period 2wr/L. To prove the theorem, we define the functions f(t) = F(x(t)) and N(t) = f(t)I| and y(t) =f(t)/N(t), for tER. The function y(t) is a unit vector tangent to the periodic trajectory.
openaire +2 more sources
Existence, uniqueness, and stability of periodic solutions of an equation of Duffing type
, 2007 We consider a second-order equation of Duffing type. Bounds for the derivative of the restoring force are given which ensure the existence and uniqueness of a periodic solution.
Chen, Hongbin, Li, Yi
core +1 more source
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
core +2 more sources
Periodic solutions of periodic difference equations
Advanced Studies in Pure Mathematics, 2019 In this paper, we discuss the existence of periodic solutions of the periodic difference equation $$ x(n + 1) = f(n, x(n)),\ \ n \in \mathbf{Z} $$ and the periodic difference equation with finite delay $$ x(n + 1) = f(n, x_n),\ \ n \in \mathbf{Z}, $$ where $x$ and $f$ are $d$-vectors, and $\mathbf{Z}$ denotes the set of integers.
Furumochi, Tetsuo, Muraoka, Masato
openaire +2 more sources
Periodic Solution of the Hematopoiesis Equation
Abstract and Applied Analysis, 2013 Wu and Liu (2012) presented some results for the existence and uniqueness of the periodic solutions for the hematopoiesis model. This paper gives a simple approach to find an approximate period of the model.
Ji-Huan He
doaj +1 more source
Degree, quaternions and periodic solutions
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021 The paper computes the Brouwer degree of some classes of homogeneous polynomials defined on quaternions and applies the results, together with a continuation theorem of coincidence degree theory, to the existence and multiplicity of periodic solutions of a class of systems of quaternionic valued ordinary differential equations.
openaire +4 more sources
Almost Periodic Solution of a Discrete Commensalism System
, 2015 A nonautonomous discrete two-species Lotka-Volterra commensalism system with delays is considered in this paper. Based on the discrete comparison theorem, the permanence of the system is obtained. Then, by constructing a new discrete Lyapunov functional,
Yalong Xue +3 more
semanticscholar +1 more source
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
core +3 more sources
A remarkable periodic solution of the three-body problem in the case of equal masses [PDF]
, 2000 Using a variational method, we exhibit a surprisingly simple periodic orbit for the newtonian problem of three equal masses in the plane. The orbit has zero angular momentum and a very rich symmetry pattern.
A. Chenciner, R. Montgomery
semanticscholar +1 more source