Dépendance continue par rapport aux paramètres dans la bifurcation de Hopf-Takens de codimension 3
Dependence of hidden attractors on non-linearity and Hamilton energy in a class of chaotic system
Non-linearity is essential for occurrence of chaos in dynamical system. The size of phase space and formation of attractors are much dependent on the setting of nonlinear function and parameters. In this paper, a three-variable dynamical system is controlled by different nonlinear function thus a class of chaotic system is presented, the Hamilton function is calculated to find the statistical dynamical property of the improved dynamical systems composed of hidden attractors. The standard dynamical...
Der Indexsatz für geschlossene Geodätische.
Dérivabilité du plus grand exposant caractéristique des produits de matrices aléatoires indépendantes à coefficients positifs
Derivation of geodesic flow fields and spectrum in digital topographic basins.
Derivation of physically motivated constraints for efficient interval simulations applied to the analysis of uncertain dynamical systems
Interval arithmetic techniques such as VALENCIA-IVP allow calculating guaranteed enclosures of all reachable states of continuous-time dynamical systems with bounded uncertainties of both initial conditions and system parameters. Considering the fact that, in naive implementations of interval algorithms, overestimation might lead to unnecessarily conservative results, suitable consistency tests are essential to obtain the tightest possible enclosures. In this contribution, a general framework for...
Derivatives of circle rotations, and similarity of orbits.
Des domaines de Fatou-Bieberbach à plusieurs feuillets
Description lagrangienne d'un boson scalaire à l'aide d'un triplet nucléaire
Desingularization of a Hyperelliptic Curve Associated with a Doubly Periodic Dirac Potential
Dessins d'enfants and hubbard trees
Detecting synchronization in spatially extended discrete systems by complexity measurements.
Detection of the onset of numerical chaotic instabilities by Lyapunov exponents.
Detection of variations of local irregularity of traffic under DDOS flood attack.
Determination of phase-space reconstruction parameters of chaotic time series
A new method called C-C-1 method is suggested, which can improve some drawbacks of the original C-C method. Based on the theory of period N, a new quantity S(t) for estimating the delay time window of a chaotic time series is given via direct computing a time-series quantity S(m,N,r,t), from which the delay time window can be found. The optimal delay time window is taken as the first period of the chaotic time series with a local minimum of S(t). Only the first local minimum of the average of a...
Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions
In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions in a rational functional form approximating a maximal Lyapunov function that can be used to find an estimation for the DOA. Based on this idea, an improved method has been developed and implemented in a Mathematica-package to find such Lyapunov functions for a class of hybrid (piecewise...
Determining the weights of a Fourier series neural network on the basis of the multidimensional discrete Fourier transform
This paper presents a method for training a Fourier series neural network on the basis of the multidimensional discrete Fourier transform. The proposed method is characterized by low computational complexity. The article shows how the method can be used for modelling dynamic systems.
Deterministické fyzikální soustavy s chaotickým chováním
Deux applications de la géométrie locale des diffiétés
Deux caractérisations de la mesure d’équilibre d’un endomorphisme de
Soit µ la mesure d’équilibre d’un endomorphisme de . Nous montrons ici qu’elle est son unique mesure d’entropie maximale. Nous construisons directement µ comme distribution asymptotique des préimages