Many biological processes and objects can be described by fractals. The paper uses a new type of objects – blinking fractals – that are not covered by traditional theories considering dynamics of self-similarity processes. It is shown that both traditional and blinking fractals can be successfully studied by a recent approach allowing one to work numerically with infinite and infinitesimal numbers. It is shown that blinking fractals can be applied for modeling complex processes of growth of biological systems including their season changes. The new approach allows one to give various quantitative characteristics of the obtained blinking fractals models of biological systems. Key Words: Process of growth, mathematical modeling in biology, tr...
By utilizing the system of the recurrence equations, containing two parameters, the dynamics of two ...
Biological fractals are truncated, i.e., their selfsimilarity extends at most over a few orders of m...
Significant contribution to understanding of complex biological systems emerged from application of ...
Many biological processes and objects can be described by fractals. The paper uses a new type of obj...
Many biological processes and objects can be described by fractals. The paper uses a new type of obj...
The paper considers a new type of objects – blinking fractals – that are not covered by traditional ...
Abstract:- The paper discusses the connection between pattern formation and nonlinear dynamics, focu...
Fractal geometry is a branch of mathematics that deals with, on a basic level, repeating geometric p...
"Stochastic growth processes give rise to diverse and intricate structures everywhere in nature, oft...
This book, along with its companion volume, Nonlinear Dynamics New Directions: Theoretical Aspects, ...
The review article discusses the possibilities of using fractal mathematical analysis to solve scien...
Complex-dynamical fractal is a hierarchy of permanently, chaotically changing versions of system str...
This presentation applies concepts in fractal geometry to the relatively new field of mathematics kn...
This book, along with its companion volume, Nonlinear Dynamics New Directions: Models and Applicatio...
The work presented here puts forward a fractal aspect of natural growth. The S-shaped pattern of a l...
By utilizing the system of the recurrence equations, containing two parameters, the dynamics of two ...
Biological fractals are truncated, i.e., their selfsimilarity extends at most over a few orders of m...
Significant contribution to understanding of complex biological systems emerged from application of ...
Many biological processes and objects can be described by fractals. The paper uses a new type of obj...
Many biological processes and objects can be described by fractals. The paper uses a new type of obj...
The paper considers a new type of objects – blinking fractals – that are not covered by traditional ...
Abstract:- The paper discusses the connection between pattern formation and nonlinear dynamics, focu...
Fractal geometry is a branch of mathematics that deals with, on a basic level, repeating geometric p...
"Stochastic growth processes give rise to diverse and intricate structures everywhere in nature, oft...
This book, along with its companion volume, Nonlinear Dynamics New Directions: Theoretical Aspects, ...
The review article discusses the possibilities of using fractal mathematical analysis to solve scien...
Complex-dynamical fractal is a hierarchy of permanently, chaotically changing versions of system str...
This presentation applies concepts in fractal geometry to the relatively new field of mathematics kn...
This book, along with its companion volume, Nonlinear Dynamics New Directions: Models and Applicatio...
The work presented here puts forward a fractal aspect of natural growth. The S-shaped pattern of a l...
By utilizing the system of the recurrence equations, containing two parameters, the dynamics of two ...
Biological fractals are truncated, i.e., their selfsimilarity extends at most over a few orders of m...
Significant contribution to understanding of complex biological systems emerged from application of ...
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