scholarly journals Graph-analytical interpretation and modeling of phase portraits of cellular structures during their phase transformations

2018 ◽  
Vol 170 ◽  
pp. 01135
Author(s):  
Vladimir Kulikov
Keyword(s):  
Dynamical Systems ◽  
Dynamic Systems ◽  
Recursive Algorithm ◽  
Laser Speckle ◽  
Phase Portraits ◽  
Cellular Structures ◽  
Simulation Algorithm ◽  
Systems Models ◽  
Initial States ◽  
Discrete Moments

The article shows the possibility of representing the state of the cellular structures in the form of “phase portraits” of states in discrete moments of time. The generated structures are presented in the form of dynamic systems. Models of states of dynamical systems, is developed, based on the analysis and processing of laser speckle and other structures. The simulation algorithm of the phase portraits given in the paper allows to create information systems casts at given discrete points in time, and to control the process of formation of properties of structures. The transition of the studied systems from their initial states to the final presents a recursive algorithm with deferred calculation of the parameters of designed objects. The initial parameters of the studied systems are reported in the form of a graphic-analytical statistics and are defined further as texture geometric shapes of cellular structures.

RECURSIVE ALGORITHM FOR ESTIMATING THE PARAMETERS OF MULTIDIMENSIONAL DISCRETE LINEAR DYNAMIC SYSTEMS OF DIFFERENT ORDERS WITH ERRORS ON THE INPUT

2018 ◽  
pp. 707-716
Author(s):  
Ilya L’vovich Sandler
Keyword(s):  
Dynamical Systems ◽  
Dynamic Systems ◽  
Quadratic Forms ◽  
Recursive Algorithm ◽  
Gradient Algorithm ◽  
Linear Dynamical Systems ◽  
Recurrent Algorithm ◽  
Linear Dynamic Systems ◽  
Stochastic Gradient Algorithm ◽  
Linear Dynamic

The paper presents a recurrent algorithm for estimating the parameters of multidimensional discrete linear dynamical systems of different orders with input errors, described by white noise. It is proved that the obtained estimates using stochastic gradient algorithm for minimization of quadratic forms are highly consistent

Studying dynamic systems models in Simulink

2016 ◽  
Author(s):  
Galina Ivanovna Popova ◽  
◽  
Yuliya Nikolaevna Prilepskaya ◽  
Keyword(s):  
Dynamic Systems ◽  
Systems Models

scholarly journals Multivariate dynamical systems models for estimating causal interactions in fMRI

NeuroImage ◽  
2011 ◽  
Vol 54 (2) ◽  
pp. 807-823 ◽  
Author(s):  
Srikanth Ryali ◽  
Kaustubh Supekar ◽  
Tianwen Chen ◽  
Vinod Menon
Keyword(s):  
Dynamical Systems ◽  
Systems Models ◽  
Dynamical Systems Models

PARTICLE FILTER OPTIMIZATION TOOLS FOR DYNAMICAL SYSTEMS PROBABILISTIC MODELS

2021 ◽  
pp. 4-10
Author(s):  
П.В. Полухин
Keyword(s):  
Dynamical Systems ◽  
Distributed Computing ◽  
Particle Filter ◽  
Dynamic Systems ◽  
Probabilistic Models ◽  
Sufficient Statistics ◽  
Voice Synthesis ◽  
Sample Decomposition ◽  
Speed Up ◽  
Filtering Procedure

В работе предложены математические инструменты на основе достаточных статистик и декомпозиции выборок в сочетании с алгоритмами распределенных вычислений, позволяющие существенно повысить эффективность процедуры фильтрации. Filtering algorithms are used to assess the state of dynamic systems when solving various practical problems, such as voice synthesis and determining the geo-position and monitoring the movement of objects. In the case of complex hierarchical dynamic systems with a large number of time slices, the process of calculating probabilistic characteristics becomes very time-consuming due to the need to generate a large number of samples. The essence of optimization is to reduce the number of samples generated by the filter, increase their consistency and speed up computational operations. The paper offers mathematical tools based on sufficient statistics and sample decomposition in combination with distributed computing algorithms that can significantly improve the efficiency of the filtering procedure.

Generating Fully Bounded Chaotic Attractors

2013 ◽  
pp. 148-153
Author(s):  
Zeraoulia Elhadj
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Dynamical Systems ◽  
Dynamical Behavior ◽  
Phase Portraits ◽  
Chaotic Attractors ◽  
Nonlinear Dynamical ◽  
Dynamical Properties ◽  
The Given

Generating chaotic attractors from nonlinear dynamical systems is quite important because of their applicability in sciences and engineering. This paper considers a class of 2-D mappings displaying fully bounded chaotic attractors for all bifurcation parameters. It describes in detail the dynamical behavior of this map, along with some other dynamical phenomena. Also presented are some phase portraits and some dynamical properties of the given simple family of 2-D discrete mappings.

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