Results 1 to 10 of about 866 (54)
Center conditions for a simple class of quintic systems [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 11, Page 625-632, 2002., 2001 We obtain center conditions for a $O$-symmetric system of degree 5 for which the origin is a uniformly isochronous singular point. In the revised paper some misprints are corrected in the reference list.Comment: 9 pages, 0 figures, LaTeX 2 ...
Evgenii P. Volokitin +1 more
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The monotonicity of the apsidal angle using the theory of potential oscillators [PDF]
, 2017 In a central force system the angle between two successive passages of a body through pericenters is called the apsidal angle.
Rojas, David
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On Chouikha's isochronicity criterion [PDF]
, 2012 Recently A.R.Chouikha gave a new characterization of isochronicity of center at the origin for the equation $x"+g(x)=0$, where $g$ is a real smooth function defined in some neighborhood of $0 \in \R$. We describe another proof of his characterization and
Strelcyn, Jean-Marie
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On the uniqueness of invariant tori in D4*S1 symmetric systems [PDF]
, 1994 The uniqueness of the branch of two-tori in the D4-equivariant Hopf bifurcation problem is proved in a neighbourhood of a particular limiting case where, after reduction, the Euler equations for the rotation of a free rigid body ...
Gils, S.A. van, Silber, M.
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Infinitely many periodic solutions for second order Hamiltonian systems [PDF]
, 2011 In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems $\ddot{u}+\nabla_u V(t,u)=0$, where $V(t, u)$ is either asymptotically quadratic or superquadratic as $|u|\to \infty$.Comment: to appear in ...
Liu, Chungen, Zhang, Qingye
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On the behavior of periodic solutions of planar autonomous Hamiltonian systems with multivalued periodic perturbations [PDF]
, 2010 Aim of the paper is to provide a method to analyze the behavior of $T$-periodic solutions $x_\eps, \eps>0$, of a perturbed planar Hamiltonian system near a cycle $x_0$, of smallest period $T$, of the unperturbed system. The perturbation is represented by
Makarenkov, Oleg +2 more
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A periodic model for the dynamics of cell volume
, 2016 We prove the existence and uniqueness of positive periodic solution for a model describing the dynamics of cell volume flux, introduced in Julio A. Hernandez \cite{H}. We also show that the periodic solution is a global attractor. Our results confirm the
Korman, Philip
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Complexity reduction of C-algorithm
, 2010 The C-Algorithm introduced in [Chouikha2007] is designed to determine isochronous centers for Lienard-type differential systems, in the general real analytic case.
Bardet +12 more
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Anti-Periodic Boundary Value Problem for Impulsive Fractional Integro Differential Equations [PDF]
, 2010 MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37In this paper we prove the existence of solutions for fractional impulsive differential equations with antiperiodic boundary condition in Banach spaces.
Anguraj, A., Karthikeyan, P.
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, 2007 We study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities. We obtain sharp bounds for h such that the equation has exactly three ordered T-periodic solutions.
Chen, Hongbin, Li, Yi
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