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The goal of this note is to extend the result bounding from bellow the minimal possible growth of frequently oscillating subharmonic functions to a larger class of functions that carry similar properties. We refine and find further…

复变函数 · 数学 2023-01-09 Adi Glücksam

An approximate Poincare map near equally strong multiple resonances is reduced by means the method of averaging. Near the resonance junction of three degrees of freedom, we find that some homoclinic orbits ``whiskers'' in single resonance…

chao-dyn · 物理学 2009-10-31 Shin-itiro Goto , Kazuhiro Nozaki

We present a study of the spiral responses in a stable disc galaxy model to co-orbiting perturbing masses that are evenly spaced around rings. The amplitudes of the responses, or wakes, are proportional to the masses of the perturbations,…

星系天体物理 · 物理学 2021-09-01 J. A. Sellwood , R. G. Carlberg

We report on the possibilities of using the method of normal fundamental systems for solving some problems of oscillation theory. Large elastic dynamical systems with continuous and discrete parameters are considered, which have many…

数值分析 · 数学 2007-05-23 Olena V. Mul , Delfim F. M. Torres

We consider an open (scattering) quantum system under the action of a perturbation of its closed counterpart. It is demonstrated that the resulting shift of resonance widths is a sensitive indicator of the non-orthogonality of resonance…

介观与纳米尺度物理 · 物理学 2012-05-04 Y. V. Fyodorov , D. V. Savin

A contribution is presented to the study of hadron spectroscopy through the use of fractals and discrete scale invariance implying log-periodic corrections to continuous scaling. The masses of mesons and baryons, reported by the Particle…

综合物理 · 物理学 2011-05-11 Boris Tatischeff

In some planetary systems, the orbital periods of two of its members present a commensurability, usually known by mean-motion resonance. These resonances greatly enhance the mutual gravitational influence of the planets. As a consequence,…

地球与行星天体物理 · 物理学 2019-09-18 Alexandre C. M. Correia , Jean-Baptiste Delisle , Jacques Laskar

The spring-mass system studied in undergraduate physics laboratories may show complex dynamics due to the simultaneous action of gravitational, elastic, and torsional forces, in addition to air friction. In this paper, we describe a…

物理教育 · 物理学 2013-06-04 Ilario Boscolo , Fabrizio Castelli , Marco Stellato

This contribution reports on numerical simulations of 2D granular flows on erodible beds. The broad aim is to investigate whether simple flows of model granular matter exhibits spontaneous oscillatory motion in generic flow conditions, and…

软凝聚态物质 · 物理学 2012-11-27 Lydie Staron

The structure of the hadron resonances attracts much attention, in association with the recent observations of various exotic hadrons which do not fit well in the conventional picture. These findings urge us to consider various new…

高能物理 - 唯象学 · 物理学 2013-12-04 Tetsuo Hyodo

Consider a periodically forced nonlinear system which can be presented as a collection of smaller subsystems with pairwise interactions between them. Each subsystem is assumed to be a massive point moving with friction on a compact surface,…

动力系统 · 数学 2015-09-25 Ivan Polekhin

We summarize various cases where chaotic orbits can be described analytically. First we consider the case of a magnetic bottle where we have non-resonant and resonant ordered and chaotic orbits. In the sequence we consider the hyperbolic…

混沌动力学 · 物理学 2016-11-03 G. Contopoulos , M. Harsoula , C. Efthymiopoulos

We use Moser's normal forms to study chaotic motion in two-degree hamiltonian systems near a saddle point. Besides being convergent, they provide a suitable description of the cylindrical topology of the chaotic flow in that vicinity. Both…

chao-dyn · 物理学 2015-06-24 Werner M. Vieira , Alfredo M. O. de Almeida

We show that subsets of interacting oscillators may synchronize in different ways within a single network. This diversity of synchronization patterns is promoted by increasing the heterogeneous distribution of coupling weights and/or…

斑图形成与孤子 · 物理学 2017-04-05 Daniel Malagarriga , Alessandro E. P. Villa , Jordi García-Ojalvo , Antonio J. Pons

The general theory of time-dependent frequency and time-dependent mass ('effective mass') is described.The general theory for time-dependent harmonic- oscillator is applied in the present research for studying certain quantum effects in the…

广义相对论与量子宇宙学 · 物理学 2008-07-30 Yacob Ben-Aryeh

The motion of oscillatory-like nonlinear Hamiltonian systems, driven by a weak noise, is considered. A general method to find regions of stability in the phase space of a randomly-driven system, based on a specific Poincar\'e map, is…

混沌动力学 · 物理学 2011-11-10 D. V. Makarov , M. Yu. Uleysky , M. V Budyansky , S. V. Prants

Classical and quantum mechanical analysis have been carried out on harmonic like oscillator with asymmetric position dependent mass. Phase space analysis are performed both classically and quantum mechanically for a plausible understanding…

The paper presents a method by which the mean field dynamics of a population of dynamical systems with parameter diversity and global coupling can be described in terms of a few macroscopic degrees of freedom. The method applies to…

统计力学 · 物理学 2009-11-07 Silvia De Monte , Francesco d'Ovidio , Erik Mosekilde

We examine the problem of motion of an oscillating mass object provided no external force is applied to it. Calculations directly lead to the conclusion that the body accelerates in each system of reference except for the rest reference…

综合物理 · 物理学 2011-03-18 Tomasz Lanczewski

In order to get a more realistic description of the hadron spectrum we extend a constituent-quark model by explicit mesonic degrees of freedom. The resulting system of constituent (anti)quarks, which are subject to an instantaneous…

高能物理 - 唯象学 · 物理学 2011-09-02 R. Kleinhappel , W. Schweiger
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