We consider the cubic defocusing nonlinear Schrödinger equation on the two dimensional
torus. We exhibit smooth solutions for which the support of the conserved energy moves to …

Starting with the basics of Hamiltonian dynamics and canonical transformations, this text
follows the historical development of the theory culminating in recent results: the …

The anti-integrable limit is one of the convenient and relatively simple methods for the
construction of chaotic hyperbolic invariant sets in Lagrangian, Hamiltonian, and other …

Stability of a point charge for the repulsive Vlasov–Poisson system Page 1 © 2024 European
Mathematical Society Published by EMS Press J. Eur. Math. Soc. (Online first) DOI …

Развитие математики неравномерно и непредсказуемо. Неожиданные удивительные
прорывы чередуются со странными задержками. Такая труднообъяснимая задержка …

We prove a form of Arnold diffusion in the a-priori stable case. Let H 0 (p)+ ϵ H 1 (θ, p, t), θ∈
T n, p∈ B n, t∈ T= R/T, be a nearly integrable system of arbitrary degrees of freedom n⩾ 2 …

The ongoing conjecture that the presence of horizon may induce chaos in an integrable
system, is further investigated from the perspective of a uniformly accelerated frame …

We study properties of chaos in generic one-dimensional nonlinear Hamiltonian lattices
comprised of weakly coupled nonlinear oscillators by numerical simulations of continuous …

We prove the existence of Arnold diffusion in a typical a priori unstable Hamiltonian system
outside a small neighbourhood of strong resonances. More precisely, we consider a near …

We assume that a symplectic real-analytic map has an invariant normally hyperbolic cylinder
and an associated transverse homoclinic cylinder. We prove that generically in the real …