Электронный каталог

Статья

Alexeeva, N.V.
Understanding Oscillons: Standing Waves in a Ball / N.V.Alexeeva, I.V.Barashenkov, A.A.Bogolubskaya, E.V.Zemlyanaya // Physical Review D [Electronic resource]. – 2023. – Vol.107, No.7. – P.076023. – URL: https://doi.org/10.1103/PhysRevD.107.076023. – Bibliogr.:69.

Oscillons are localized long-lived pulsating states in the three-dimensional ϕ4 theory. We gain insight into the spatiotemporal structure and bifurcation of the oscillons by studying time-periodic solutions in a ball of a finite radius. A sequence of weakly localized Bessel waves—nonlinear standing waves with the Bessel-like r-dependence—is shown to extend from eigenfunctions of the linearized operator. The lowest-frequency Bessel wave serves as a starting point of a branch of periodic solutions with exponentially localized cores and small-amplitude tails decaying slowly toward the surface of the ball. A numerical continuation of this branch gives rise to the energy-frequency diagram featuring a series of resonant spikes. We show that the standing waves associated with the resonances are born in the period-multiplication bifurcations of the Bessel waves with higher frequencies. The energy-frequency diagram for a sufficiently large ball displays sizeable intervals of stability against spherically symmetric perturbations.



ОИЯИ = ОИЯИ (JINR)2023
Спец.(статьи,препринты) = С 323.5 - Теория взаимодействия частиц при высоких энергиях$
Бюллетени = 43/023