Results 31 to 40 of about 12,050,610 (334)
On the maximum number of periodic solutions of piecewise smooth periodic equations by average method
, 2017 In this paper, we prove smoothness of bifurcation function for a piecewise smooth periodic equation, and then use the bifurcation function together with its smoothness to study the maximum number of periodic solutions of the piecewise smooth periodic ...
Mao-An Han
semanticscholar +1 more source
Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions [PDF]
, 2003 Various solutions are displayed and analyzed (both analytically and numerically) of a recently-introduced many-body problem in the plane which includes both integrable and nonintegrable cases (depending on the values of the coupling constants); in ...
Calogero, F +6 more
core +2 more sources
On asymptotically periodic solutions of linear discrete Volterra equations [PDF]
, 2010 We show that a class of linear nonconvolution discrete Volterra equations has asymptotically periodic solutions. We also examine an example for which the calculations can be done explicitly.
Győri, István, Reynolds, David W.
core +2 more sources
International Journal of Mathematics and Mathematical Sciences, 1990 In continuing from previous papers, where we studied the existence and uniqueness of the global solution and its asymptotic behavior as time t goes to infinity, we now search for a time-periodic weak solution u(t) for the equation whose weak formulation ...
Eliana Henriques de Brito
doaj +1 more source
Axioms, 2019 We show, using the spectral Galerkin method together with compactness arguments, the existence and uniqueness of the periodic strong solutions for the magnetohydrodynamic-type equations with inhomogeneous boundary conditions.
Igor Kondrashuk +3 more
doaj +1 more source
AIP Advances, 2021 In this paper, we study the exact solitary wave solutions, periodic wave solutions, and bounded rational function solution of the high-order nonlinear Schrödinger equation and the evolutional relationships between the solitary and periodic wave solutions
Weiguo Zhang +3 more
doaj +1 more source
Discontinuous bifurcations of periodic solutions
Mathematical and Computer Modelling, 2002 The authors discuss some aspects of bifurcations of periodic solutions in systems with a discontinuous vector field. Using the example \[ m\ddot x+C(\dot x) + K(x) = f_0\sin(\omega t), \] the authors demonstrate, under certain assumptions on the functions \(K(x)\) and \(C(\dot x)\), how the Floquet multipliers of a discontinuous system can jump when ...
Leine, R.I., Campen, van, D.H.
openaire +2 more sources
Stability and instability for periodic solutions of delay equations with "steplike" feedback
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider the stability of periodic solutions of certain delay equations $x'(t) = f(x_t)$ for which the special structure of the equation allows us to define return maps that are semiconjugate to finite-dimensional maps.
Benjamin Kennedy
doaj +1 more source
Periodic Solutions of a System of Complex ODEs. II. Higher Periods [PDF]
, 2002 In a previous paper the real evolution of the system of ODEs ¨zn + zn = N m=1, m=n gnm(zn - zm) -3 , zn zn(t), zn dzn(t) dt , n = 1, . . . , N is discussed in CN , namely the N dependent variables zn, as well as the N(N - 1) (arbitrary!) "coupling ...
Calogero, Francesco, Sommacal, Matteo
core +2 more sources
PERIODIC SOLUTIONS AND SLOW MANIFOLDS [PDF]
International Journal of Bifurcation and Chaos, 2007 After reviewing a number of results from geometric singular perturbation theory, we give an example of a theorem for periodic solutions in a slow manifold. This is illustrated by examples involving the van der Pol-equation and a modified logistic equation.
openaire +4 more sources