Results 11 to 20 of about 219 (44)
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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Stable dynamics in forced systems with sufficiently high/low forcing frequency [PDF]
, 2015 We consider a class of parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is relatively high or low.
Arnold V. I. +19 more
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New results on averaging theory and applications [PDF]
, 2016 Agraïments: The first author is supported by CNPq 248501/2013-5. CAPES grant 88881.030454 /2013-01 from the Program CSF-PVEThe usual averaging theory reduces the computation of some periodic solutions of a system of ordinary differential equations, to ...
Cândido, Murilo R., Llibre, Jaume
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Birth of limit cycles for a classe of continuous and discontinuous differential systems in (d 2)-dimension [PDF]
, 2015 Agraïments: FEDER/UNAB10-4E-378. The second author is partially supported by a FAPESP-BRAZIL grant 2012/18780-0. The third author is partially supported by a FAPESP-BRAZIL grant 2012/23591-1 and 2013/21078-8.The orbits of the reversible differential ...
Llibre, Jaume +2 more
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, 2012 Numerical integration of ODEs by standard numerical methods reduces a continuous time problems to discrete time problems. Discrete time problems have intrinsic properties that are absent in continuous time problems.
A. I. Neishtadt +10 more
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Periodic orbits for a class of galactic potentials
, 2012 In this work, applying general results from averaging theory, we find periodic orbits for a class of Hamiltonian systems $H$ whose potential models the motion of elliptic galaxies.Comment: 8 pages, Accepted for publication in Astrophysics and Space ...
Alfaro, Felipe +2 more
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On the averaging principle for one-frequency systems. Seminorm estimates for the error
, 2008 We extend some previous results of our work [1] on the error of the averaging method, in the one-frequency case. The new error estimates apply to any separating family of seminorms on the space of the actions; they generalize our previous estimates in ...
C. Morosi +9 more
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Bifurcations from families of periodic solutions in piecewise differential systems
, 2020 Consider a differential system of the form $$ x'=F_0(t,x)+\sum_{i=1}^k \varepsilon^i F_i(t,x)+\varepsilon^{k+1} R(t,x,\varepsilon), $$ where $F_i:\mathbb{S}^1 \times D \to \mathbb{R}^m$ and $R:\mathbb{S}^1 \times D \times (-\varepsilon_0,\varepsilon_0 ...
Llibre, Jaume +2 more
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Asymptotic behavior of periodic solutions in one-parameter families of Li\'{e}nard equations
, 2019 In this paper, we consider one--parameter ($\lambda>0$) families of Li\'enard differential equations. We are concerned with the study on the asymptotic behavior of periodic solutions for small and large values of $\lambda>0$.
Cardin, Pedro Toniol +1 more
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Complete set of invariants for a Bykov attractor [PDF]
, 2018 In this paper we consider an attracting heteroclinic cycle made by a 1-dimensional and a 2-dimensional separatrices between two hyperbolic saddles having complex eigenvalues.
Carvalho, Maria +1 more
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