Results 31 to 40 of about 219 (41)

On the averaging principle for one-frequency systems. An application to satellite motions

, 2009
This paper is related to our previous works [1][2] on the error estimate of the averaging technique, for systems with one fast angular variable. In the cited references, a general method (of mixed analytical and numerical type) has been introduced to ...
C. Morosi, C. Morosi, Carlo Morosi, J.A. Sanders, Livio Pizzocchero, P. Lochak, P.R. Wallace, V.I. Arnold, W.T. Kyner   +8 more
core   +1 more source

Formal series and numerical integrators: some history and some new techniques [PDF]

, 2015
This paper provides a brief history of B-series and the associated Butcher group and presents the new theory of word series and extended word series. B-series (Hairer and Wanner 1976) are formal series of functions parameterized by rooted trees.
Murua, Ander, Sanz-Serna, Jesus Maria
core   +2 more sources

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
core   +4 more sources

A simple piston problem in one dimension

, 2006
We study a heavy piston that separates finitely many ideal gas particles moving inside a one-dimensional gas chamber. Using averaging techniques, we prove precise rates of convergence of the actual motions of the piston to its averaged behavior.
Anosov D V, Callen H B, Chernov N, Chernov N, Dolgopyat D, Gruber Ch, Kifer Y, Lochak P, Neishtadt A I, Neishtadt A I, Paul Wright, Sanders J A, Sinai Ya G, Sinai Ya G   +13 more
core   +1 more source

Nonlinear-damped Duffing oscillators having finite time dynamics

, 2014
A class of modified Duffing oscillator differential equations, having nonlinear damping forces, are shown to have finite time dynamics, i.e., the solutions oscillate with only a finite number of cycles, and, thereafter, the motion is zero.
Bullock, Ray, Collins, Warren E., Mickens, Ronald E., Oyedeji, Kale   +3 more
core   +1 more source

Bifurcation sequences in the symmetric 1:1 Hamiltonian resonance

, 2015
We present a general review of the bifurcation sequences of periodic orbits in general position of a family of resonant Hamiltonian normal forms with nearly equal unperturbed frequencies, invariant under $Z_2 \times Z_2$ symmetry.
Marchesiello, Antonella, Pucacco, Giuseppe   +1 more
core   +1 more source

Optimal phase-selective entrainment of heterogeneous oscillator ensembles. [PDF]

SIAM J Appl Dyn Syst, 2023
Singhal B, Kiss IZ, Li JS.
europepmc   +1 more source

An Averaging Theorem for Perturbed KdV Equation

, 2013
We consider a perturbed KdV equation: [\dot{u}+u_{xxx} - 6uu_x = \epsilon f(x,u(\cdot)), \quad x\in \mathbb{T}, \quad\int_\mathbb{T} u dx=0.] For any periodic function $u(x)$, let $I(u)=(I_1(u),I_2(u),...)\in\mathbb{R}_+^{\infty}$ be the vector ...
Huang, Guan
core   +1 more source

Hopf bifurcation in higher dimensional differential systems via the averaging method [PDF]

, 2008
"vegeu el resum a l'inici del document del fitxer adjunt"
Llibre, Jaume, Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica, Zhang, Xiang   +2 more
core  

Limit cycles of linear vectors on manifolds [PDF]

, 2016
Agraïments: The second author is partially supported by NNSF of China grant number 11271252, by RFDP of Higher Education of China grant number 20110073110054, and by innovation program of Shanghai municipal education commission grant 15ZZ012.It is well ...
Llibre, Jaume, Zhang, Xiang
core   +1 more source