Energy transfer in a fast-slow Hamiltonian system [PDF]
, 2011 We consider a finite region of a lattice of weakly interacting geodesic flows on manifolds of negative curvature and we show that, when rescaling the interactions and the time appropriately, the energies of the flows evolve according to a non linear ...
C. Bernardin +26 more
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Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov-Schmidt reduction [PDF]
, 2017 In this work we first provide sufficient conditions to assure the persistence of some zeros of functions having the form $$g(z,\varepsilon)=g_0(z)+\sum_{i=1}^k \varepsilon^i g_i(z)+\mathcal{O}(\varepsilon^{k+1}),$$ for $|\varepsilon|\neq0$ sufficiently ...
Cândido, Murilo R. +2 more
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Frequency locking of modulated waves
, 2010 We consider the behavior of a modulated wave solution to an $\mathbb{S}^1$-equivariant autonomous system of differential equations under an external forcing of modulated wave type.
A. M. Samoilenko +24 more
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Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals [PDF]
, 2017 Agraïments: The first author is partially supported by FEDER-UNAB-10-4E-378 and a CAPES grant 88881.
Llibre, Jaume, Teixeira, Marco Antonio
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Remarks on stability of inverted pendula [PDF]
, 2005 Using linearization principle and tools from chronological calculus one establishes a criteria for stabilization of, usually unstable, equilibrium position of Double Inverted Pendula when subject an arbitrary fast oscillation.
Caiado, M. I., Sarychev, A. V.
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Polynomial and linearized normal forms for almost periodic differential systems [PDF]
, 2015 Agraïments: The first author is partially supported by NSFC key program of China (no. 11231001). The MINECO/FEDER grant UNAB13-4E-1604. And the third is supported by NSFC for Young Scientists of China (no.
Li, Weigu, Llibre, Jaume, Wu, Hao
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Stability of periodic solutions obtained via the averaging method for nonsmooth Lipschitz system [PDF]
, 2006 "Vegeu el resum a l'inici del document del fitxer adjunt"
Buica, A. +2 more
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Gyrokinetics from variational averaging: existence and error bounds
, 2017 The gyrokinetic paradigm in the long wavelength regime is reviewed from the perspective of variational averaging (VA). The VA-method represents a third pillar for averaging kinetic equations with highly-oscillatory characteristics, besides classical ...
Possanner, Stefan
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An energy-momentum map for the time-reversal symmetric 1:1 resonance with Z_2 X Z_2 symmetry
, 2014 We present a general analysis of the bifurcation sequences of periodic orbits in general position of a family of reversible 1:1 resonant Hamiltonian normal forms invariant under $\Z_2\times\Z_2$ symmetry.
Marchesiello, Antonella +1 more
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Averaging and Deterministic Optimal Control
, 1986 International audienceAveraging is often used in ordinary differential equations when dealing with fast periodic phenomena. It is shown here that it can be used efficiently in optimal control. As the period tends to zero, a limit or "averaged" problem is
Chaplais, François
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