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The Institute of Physics ( IOP ) по журналам "Nonlinearity"

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  • P H Richter; H -J Scholz; A Wittek (1990-02-01)
    The dynamics of a billiard in a gravitational field between a vertical wall and an inclined plane depends strongly on the angle theta between wall and plane. Most conspicuously, the relative amount of chaotic versus regular ...
  • T Kruger; L D Pustyl'nikov; S E Troubetzkoy (1995-05-01)
    We introduce two models, the Fermi-Ulam model in an external field and a one dimensional system of bouncing balls in an external field above a periodically oscillating plate. For both models we investigate the possibility ...
  • A Laptev; M Levitin; D Vasil'ev (1991-08-01)
    The authors consider the variational problem describing the static deformation of a thin elastic superconducting shell in a magnetic field; the shell is supposed to be clamped along the edge. This problem is essentially ...
  • S Golin; S Marmi (1990-05-01)
    The Hannay angles arise in classical mechanics as an anholonomy effect for adiabatically time-dependent Hamiltonian systems. It is proven that for a class of systems with several degrees of freedom the Hannay angles can ...
  • D G Aronson; E J Doedel; D H Terman (1997-09-01)
    The dynamics of a pair of identical Josephson junctions coupled through a shared purely capacitive load are governed by a two-parameter system of two second-order nonlinear ordinary differential equations. Numerical ...
  • S E Troubetzkoy (1990-08-01)
    The author compares billiard systems governed by a certain hard core potential field with the elastic billiard systems one would get if the particles collided elastically with the boundary of the domain of the given potential ...
  • V Kirk; M Silber (1994-11-01)
    Competition between co-existing heteroclinic cycles that have a common heteroclinic connection is considered. A simple model problem, consisting of a system of ordinary differential equations in R4 with Z24 symmetry, is ...
  • M A Shereshevsky (1991-02-01)
    Let f be a C2-diffeomorphism of a compact surface M, Lambda be a nontrivial locally maximal hyperbolic set of f such that f mod Lambda is topologically transitive, and mu be the equilibrium state corresponding to some ...
  • J A Beloqui (1990-02-01)
    The author considers a two-parameter family of vector fields Xmu on a 3-manifold such that at mu =0 the vector field X(0,0) exhibits a Hopf singularity p and a hyperbolic periodic orbit sigma where Wu(p) and Ws( sigma ) ...
  • M A M de Aguiar; A M Ozorio de Almeida (1992-03-01)
    Truncation of the Hamiltonian matrix in the harmonic oscillator representation of quantum mechanics corresponds to cutting off the action dependence of the classical Hamiltonian. The conjugate angle variable suffers a ...
  • E Bogomolny (2000-05-01)
    In many problems of quantum chaos the calculation of sums of products of periodic orbit contributions is required. A general method of computation of these sums is proposed for generic integrable models where the summation ...
  • K Jung (1995-11-01)
    A loss in smoothness of a switching process decreases the accuracy of an adiabatic invariant. Here we show that for classical Hamiltonian systems the degree of smoothness can be observed in the signal.
  • G Benettin; P Sempio (1994-01-01)
    We consider here the classical problem of charge trapping by strong nonuniform magnetic fields (Van Allen belts, magnetic bottles), and study it by means of the averaging methods of classical perturbation theory. At variance ...
  • J M Speight (1997-11-01)
    A discrete system is proposed which preserves the topological lower bound on the kink energy. Existence of static kink solutions saturating this lower bound and occupying any position relative to the lattice is proved. ...
  • M Dellnitz; C Heinrich (1995-11-01)
    Dynamical systems with symmetry can possess different conjugate attractors simultaneously. If a parameter is varied then these may collide at reflection hyperplanes. Since such a collision typically leads to an increase ...
  • S M Booker (2000-01-01)
    A class of planar dynamical systems is considered which models a wide variety of physical problems; this class is of a form to which Melnikov's method may be applied. It is shown that a family of excitations exists which ...
  • S Hatjispyros; F Vivaldi (1995-05-01)
    A family of dynamical zeta functions is introduced, that weigh each periodic orbit with integral powers of its multiplier. For the quadratic map, we prove that some of these functions are rational, and conjecture their ...
  • S Vaienti (1991-11-01)
    The author applies the wavelet transform to fractal sets and the author gets a few results of the Frostman's type, which allow the rigorous lower bound to the Hausdorff dimension to be computer. In particular the author ...
  • Sandip Ghosal; Joseph B Keller (2000-09-01)
    A hyperbolic equation, analogous to the telegrapher's equation in one dimension, is introduced to describe turbulent diffusion of a passive additive in a turbulent flow. The predictions of this equation, and those of the ...
  • Igor Kukavica (2000-05-01)
    We introduce a ladder inequality for L p norms of vorticity for the two- and three-dimensional Navier-Stokes equation. With its help, we improve existing pointwise estimates on the algebraic minimal scale in terms of the ...