Results 1 to 10 of about 25,320 (97)
Orbital Reversibility of Planar Vector Fields [PDF]
Mathematics, 2020 In this work we use the normal form theory to establish an algorithm to determine if a planar vector field is orbitally reversible. In previous works only algorithms to determine the reversibility and conjugate reversibility have been given. The procedure is useful in the center problem because any nondegenerate and nilpotent center is orbitally ...
Antonio Algaba +2 more
openaire +4 more sources
A reversible bifurcation analysis of the inverted pendulum [PDF]
, 1998 The inverted pendulum with a periodic parametric forcing is considered as a bifurcation problem in the reversible setting. Parameters are given by the size of the forcing and the frequency ratio. Normal form theory provides an integrable approximation of
Broer, H.W., +2 more
core +3 more sources
Integrability of planar polynomial differential systems through linear differential equations [PDF]
, 2005 In this work, we consider rational ordinary differential equations dy/dx = Q(x,y)/P(x,y), with Q(x,y) and P(x,y) coprime polynomials with real coefficients.
Giacomini, Héctor +2 more
core +6 more sources
Center conditions for a simple class of quintic systems [PDF]
, 2001 We obtain center conditions for a $O$-symmetric system of degree 5 for which the origin is a uniformly isochronous singular point. In the revised paper some misprints are corrected in the reference list.Comment: 9 pages, 0 figures, LaTeX 2 ...
Evgenii P. Volokitin +1 more
core +6 more sources
Equivariant singularity theory with distinguished parameters: Two case studies of resonant Hamiltonian systems [PDF]
, 1998 We consider Hamiltonian systems near equilibrium that can be (formally) reduced to one degree of freedom. Spatio-temporal symmetries play a key role. The planar reduction is studied by equivariant singularity theory with distinguished parameters.
Arnold +24 more
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Nonlinear hydrodynamic theory of crystallization [PDF]
, 2013 We present an isothermal fluctuating nonlinear hydrodynamic theory of crystallization in molecular liquids. A dynamic coarse-graining technique is used to derive the velocity field, a phenomenology, which allows a direct coupling between the free energy ...
Gránásy, László +2 more
core +2 more sources
Phase-feld theory of multi-component incompressible Cahn-Hilliard liquids [PDF]
, 2015 In this paper a generalization of the Cahn-Hilliard theory of binary liquids is presented for multi-component incompressible liquid mixtures. First, a thermodynamically consistent convection-diffusion type dynamics is derived on the basis of the Lagrange
Kvamme, Bjorn +2 more
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Some simple but challenging Markov processes [PDF]
, 2014 In this note, we present few examples of Piecewise Deterministic Markov Processes and their long time behavior. They share two important features: they are related to concrete models (in biology, networks, chemistry,. .
Malrieu, Florent
core +6 more sources
Disorder, entropy and harmonic functions
, 2015 We study harmonic functions on random environments with particular emphasis on the case of the infinite cluster of supercritical percolation on $\mathbb{Z}^d$.
Benjamini, Itai +3 more
core +1 more source
, 2015 Subwavelength plasmonic waveguides show the unique ability of strongly localizing (down to the nanoscale) and guiding light. These structures are intrinsically two-way optical communication channels, providing two opposite light propagation directions ...
Grosjean, Thierry, Lefier, Yannick
core +3 more sources