Add to ORKGThe investigation of trajectory complicated limiting sets of concrete dynamic systems with a cylindrical phase space is the aim of the paper. As a result the methodology of the topological entropy calculation has been developed. The structure of the Belykh attractor has been described, its dimensionality has been estimated. New constructive conditions of the multidimensional invariant toruses existence have been obtainedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
This paper is a study of the global structure of the attractors of a dynamical system. The dynamical...
This book provides the first self-contained comprehensive exposition of the theory of dynamical syst...
This book develops analytical methods for studying the dynamical chaos, synchronization, and dynamic...
Invariant sets of dissipative dynamic systems and algorithms for their investigation are considered ...
We start with the definition of Kolmogorov ε-entropy, via which we define fractal dimension ...
Regions of resonance and phase seizure in families of dynamic systems on torus have been investigate...
We consider dynamical systems for which the spatial extension plays an important role. For these sys...
Abstract: The key idea here is borrowed from dimension theory. The starting point is a new concept w...
AbstractIn this paper, we discuss the problem of homeomorphism of attractors of dynamical systems, t...
In the study of solutions behavior of various mathematical physics equations their limit state when ...
AbstractToric dynamical systems are known as complex balancing mass action systems in the mathematic...
We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V , where H...
The aim is to searh the general regularities of the forced, intermutual and spatial synchronization ...
The theory of extensions of the dynamical equations on the torus is an important section of the theo...
AbstractWe define and calculate the probability density in phase space and the information entropy o...
This paper is a study of the global structure of the attractors of a dynamical system. The dynamical...
This book provides the first self-contained comprehensive exposition of the theory of dynamical syst...
This book develops analytical methods for studying the dynamical chaos, synchronization, and dynamic...
Invariant sets of dissipative dynamic systems and algorithms for their investigation are considered ...
We start with the definition of Kolmogorov ε-entropy, via which we define fractal dimension ...
Regions of resonance and phase seizure in families of dynamic systems on torus have been investigate...
We consider dynamical systems for which the spatial extension plays an important role. For these sys...
Abstract: The key idea here is borrowed from dimension theory. The starting point is a new concept w...
AbstractIn this paper, we discuss the problem of homeomorphism of attractors of dynamical systems, t...
In the study of solutions behavior of various mathematical physics equations their limit state when ...
AbstractToric dynamical systems are known as complex balancing mass action systems in the mathematic...
We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V , where H...
The aim is to searh the general regularities of the forced, intermutual and spatial synchronization ...
The theory of extensions of the dynamical equations on the torus is an important section of the theo...
AbstractWe define and calculate the probability density in phase space and the information entropy o...
This paper is a study of the global structure of the attractors of a dynamical system. The dynamical...
This book provides the first self-contained comprehensive exposition of the theory of dynamical syst...
This book develops analytical methods for studying the dynamical chaos, synchronization, and dynamic...