A cell dynamical system model incorporating the physics of deterministic chaos in digital computer realizations of nonlinear mathematical models of dynamical systems is presented. The model shows that persistent microscopic domain perturbations generate, spontaneously, a continuum of logarithmic spiral circulations with the quasiperiodic Penrose tiling pattern for the internal small-scale circulation pattern with ordered energy flow between the scales. The neural network of the human brain is shown by analogy to closely resemble the self-organized adaptive network of atmospheric flows comprising fluctuations ranging in size from millimeters to thousands of kilometers
Abstract: The surrounding reality can be viewed as the result of the interaction of dynamic systems ...
Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry ...
S elf-organization has been a hot topic in the second half of last century whenphysicists and chemis...
The complex spatiotemporal patterns of atmospheric flows resulting from the cooperative existence of...
The neural networks of the human brain act as very efficient parallel processing computers coordinat...
It is noted that the observed long-range spatio-temporal correlations of real-world dynamical system...
Chaos in dynamical systems potentially provides many different dynamical states arising from a singl...
Atmospheric flows, an example of turbulent fluid flows, exhibit fractal fluctuations of all space-ti...
The spectral structure, the synchronization of cells and the number of degrees of freedom are intima...
A recently developed cell dynamical system model for atmospheric flows is described. This model pred...
Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry ...
The field of neural network modelling has grown up on the premise that the massively parallel distri...
Deterministic chaos in dynamical systems offers a new paradigm for understanding irregular fluctuati...
Dynamical systems in nature such as fluid flows, heart beat patterns, rainfall variability, stock ma...
This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever ...
Abstract: The surrounding reality can be viewed as the result of the interaction of dynamic systems ...
Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry ...
S elf-organization has been a hot topic in the second half of last century whenphysicists and chemis...
The complex spatiotemporal patterns of atmospheric flows resulting from the cooperative existence of...
The neural networks of the human brain act as very efficient parallel processing computers coordinat...
It is noted that the observed long-range spatio-temporal correlations of real-world dynamical system...
Chaos in dynamical systems potentially provides many different dynamical states arising from a singl...
Atmospheric flows, an example of turbulent fluid flows, exhibit fractal fluctuations of all space-ti...
The spectral structure, the synchronization of cells and the number of degrees of freedom are intima...
A recently developed cell dynamical system model for atmospheric flows is described. This model pred...
Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry ...
The field of neural network modelling has grown up on the premise that the massively parallel distri...
Deterministic chaos in dynamical systems offers a new paradigm for understanding irregular fluctuati...
Dynamical systems in nature such as fluid flows, heart beat patterns, rainfall variability, stock ma...
This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever ...
Abstract: The surrounding reality can be viewed as the result of the interaction of dynamic systems ...
Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry ...
S elf-organization has been a hot topic in the second half of last century whenphysicists and chemis...