Results 21 to 30 of about 150 (59)
Crossing periodic orbits via first integrals [PDF]
, 2020 We characterize the families of periodic orbits of two discontinuous piecewise differential systems in R3 separated by a plane using their first integrals. One of these discontinuous piecewise differential systems is formed by linear differential systems,
Llibre, Jaume +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 9, Page 521-534, 2001., 2001 We consider abstract differential equations of the form u′(t) = Au(t) + f(t) or u″(t) = Au(t) + f(t) in Banach spaces X, where f(⋅), ℝ → X is almost‐periodic, while A is a linear operator, 𝒟(A) ⊂ X → X. If the solution u(⋅) is likewise almost‐periodic, ℝ → X, we establish connections between their Bohr‐transforms, uˆ(λ) and fˆ(λ).
Samuel Zaidman
wiley +1 more source
A Nekhoroshev Theorem for some Infinite Dimensional Systems [PDF]
, 2006 We study the persistence for long times of the solutions of some infinite--dimensional discrete hamiltonian systems with {\it formal hamiltonian} $\sum_{i=1}^\infty h(A_i) + V(\vp),$ $(A,\vp)\in {\Bbb R}^{\Bbb N}\times {\Bbb T}^{\Bbb N}.$ $V(\vp)$ is
Perfetti, P
core +2 more sources
Abstract and Applied Analysis, Volume 4, Issue 3, Page 169-194, 1999., 1999 We investigate the asymptotic properties of the inhomogeneous nonautonomous evolution equation (d/dt)u(t) = Au(t) + B(t)u(t) + f(t), t ∈ ℝ, where (A, D(A)) is a Hille‐Yosida operator on a Banach space X, B(t), t ∈ ℝ, is a family of operators in ℒ(D(A)¯,X) satisfying certain boundedness and measurability conditions and f∈L loc 1(ℝ,X).
Gabriele Gühring, Frank Räbiger
wiley +1 more source
Flows on solenoids are generically not almost periodic
, 1999 The space of non-singular flows on any given solenoid is shown to contain a generic subset consisting of flows that are not almost periodic.
Clark, Alex
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Asymptotic equivalence of differential equations and asymptotically almost periodic solutions [PDF]
, 2007 In this paper we use Rab's lemma [M. Rab, Uber lineare perturbationen eines systems von linearen differentialgleichungen, Czechoslovak Math. J. 83 (1958) 222-229; M.
Akhmet, Marat +2 more
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On first‐order differential operators with Bohr‐Neugebauer type property
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 473-476, 1989., 1987 We consider a differential equation ddtu(t)‐Bu(t)=f(t), where the functions u and f map the real line into a Banach space X and B: X →X is a bounded linear operator. Assuming that any Stepanov‐bounded solution u is Stepanov almost‐periodic when f is Bochner almost‐periodic, we establish that any Stepanov‐bounded solution u is Bochner almost‐periodic ...
Aribindi Satyanarayan Rao
wiley +1 more source
Almost periodic evolution systems with impulse action at state-dependent moments
, 2016 We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present conditions excluding the beating phenomenon in these systems.
Hakl, Robert +3 more
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Applied Mathematics in Science and EngineeringPrey-predator models are essential for understanding the dynamics of ecological systems, where predators consume prey and population fluctuations are influenced by factors such as birth rates, death rates, and resource availability.
Seda Igret Araz, Salah Boulaaras
doaj +1 more source
Entrainment of modulation frequency: A case study [PDF]
, 2005 We consider a system of autonomous ODE's which is $S^1$-equivariant and has a family of asymptotically stable modulated wave solutions with wave frequency $\alpha_0$ and modulation frequency $\beta_0$.
Recke, Lutz, Schneider, Klaus R.
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