WebWe present an algorithm for computing one-dimensional stable and unstable manifolds of saddle periodic orbits in a Poincaré section. The computation is set up as a boundary … Web11 de abr. de 2024 · Compared to the first iteration, the total pressure field in and behind is the population reduced and a lower pressure region starts to form behind the population. Virtually, no numerical changes occur after j = 8 iterations and this result is presented in Fig. 4(c). The difference between the three pressure maps is clearly visible.

On computing Poincaré map by Hénon method - ScienceDirect

Web1 de out. de 1993 · Lyapunov exponents, Poincaré maps and fractal dimension techniques are discussed and applied to a nonlinear dynamic system model and to experimental time series data from a physical plant. The appl... Web1 de mai. de 2014 · Poincaré maps 1. Introduction This paper deals with the motion in the plane of a infinitesimal particle subject to the gravitational attraction of n particles, called the primaries, of mass . The primaries are disposed in the vertices of a regular polygon, it rotates rigidly around their center of mass with a constant angular velocity . chloe mayenobe

On the numerical computation of Poincaré maps - ScienceDirect

Web9 de jul. de 2024 · We show that a novel neural network architecture, the HénonNet, is capable of accurately learning realistic Poincaré maps from observations of a conventional field-line-following algorithm. After training, such learned Poincaré maps evaluate much faster than the field-line integration method. WebDifferent methods are proposed and tested for transforming a nonlinear differential system, and more particularly a hamiltonian one, into a map without having to integrate the whole orbit as in the well known Poincaré map technique. We construct piecewise polynomial maps by coarse-graining the phase surface of section into parallelograms using values … WebComputation of the generalized information dimensions of a chaotic orbit for the simplicial map gives values in close agreement with those found for the Poincaré map. A method is proposed to transform a nonlinear differential system into a map without having to integrate the whole orbit as in the usual Poincaré return map technique. chloe mawson cutwel