scholarly journals Discrete Dynamics by Different Concepts of Majorization

2008 ◽  
Vol 2008 ◽  
pp. 1-21 ◽  
Author(s):  
S. Sauerbrei ◽  
P. J. Plath ◽  
M. Eiswirth
Keyword(s):  
Diffusion Processes ◽  
Complex Dynamics ◽  
Open Systems ◽  
Order Structure ◽  
Discrete Dynamics ◽  
Young Diagrams ◽  
Majorization Order ◽  
Order Structures

For the description of complex dynamics of open systems, an approach is given by different concepts of majorization (order structure). Discrete diffusion processes with both invariant object number and sink or source can be represented by the development of Young diagrams on lattices. As an experimental example, we investigated foam decay, dominated by sinks. The relevance of order structures for the characterization of certain processes is discussed.

scholarly journals A Brief Review of Generalized Entropies

Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 813 ◽  
Author(s):  
José Amigó ◽  
Sámuel Balogh ◽  
Sergio Hernández
Keyword(s):  
Diffusion Processes ◽  
Complex Dynamics ◽  
Probability Distributions ◽  
Point Of View ◽  
Scaling Exponent ◽  
Scaling Exponents ◽  
Physical Systems ◽  
New Phenomena ◽  
Generalized Entropies

Entropy appears in many contexts (thermodynamics, statistical mechanics, information theory, measure-preserving dynamical systems, topological dynamics, etc.) as a measure of different properties (energy that cannot produce work, disorder, uncertainty, randomness, complexity, etc.). In this review, we focus on the so-called generalized entropies, which from a mathematical point of view are nonnegative functions defined on probability distributions that satisfy the first three Shannon–Khinchin axioms: continuity, maximality and expansibility. While these three axioms are expected to be satisfied by all macroscopic physical systems, the fourth axiom (separability or strong additivity) is in general violated by non-ergodic systems with long range forces, this having been the main reason for exploring weaker axiomatic settings. Currently, non-additive generalized entropies are being used also to study new phenomena in complex dynamics (multifractality), quantum systems (entanglement), soft sciences, and more. Besides going through the axiomatic framework, we review the characterization of generalized entropies via two scaling exponents introduced by Hanel and Thurner. In turn, the first of these exponents is related to the diffusion scaling exponent of diffusion processes, as we also discuss. Applications are addressed as the description of the main generalized entropies advances.

SIMPLE AND COMPLEX DYNAMICS FOR ONE-DIMENSIONAL MANIFOLD MAPS

1995 ◽  
Vol 05 (05) ◽  
pp. 1351-1355
Author(s):  
VLADIMIR FEDORENKO
Keyword(s):  
Topological Entropy ◽  
Complex Dynamics ◽  
Periodic Points ◽  
Dimensional Manifold ◽  
One Dimensional ◽  
Circle Maps ◽  
Interval Maps ◽  
Chain Recurrent Set ◽  
Recurrent Set

We give a characterization of complex and simple interval maps and circle maps (in the sense of positive or zero topological entropy respectively), formulated in terms of the description of the dynamics of the map on its chain recurrent set. We also describe the behavior of complex maps on their periodic points.

Bifurcations and Chaos in a PD-Controlled Pendulum

1998 ◽  
Vol 120 (1) ◽  
pp. 146-149 ◽  
Author(s):  
Joaqui´n Alvarez ◽  
Fernando Verduzco
Keyword(s):  
Complex Dynamics ◽  
Chaotic Behavior ◽  
Equilibrium Points

The complex dynamics of a pendulum controlled by a Proportional-Derivative (PD) compensator are analyzed. A classification of equilibrium points and the characterization of their bifurcations is also presented. It is shown that the controlled pendulum may exhibit a chaotic behavior when the desired position is periodic and the proportional gain and total dissipation are small enough.

scholarly journals Chemometric outlier classification of 2D-NMR spectra to enable higher order structure characterization of protein therapeutics

2020 ◽  
Vol 199 ◽  
pp. 103973 ◽  
Author(s):  
David A. Sheen ◽  
Vincent K. Shen ◽  
Robert G. Brinson ◽  
Luke W. Arbogast ◽  
John P. Marino ◽  
...  
Keyword(s):  
Nmr Spectra ◽  
2D Nmr ◽  
Higher Order ◽  
Protein Therapeutics ◽  
Structure Characterization ◽  
Order Structure ◽  
2D Nmr Spectra

Meso-scale Order Structure Prepared From Immiscible Polymer Blend Solutions

2014 ◽  
Vol 1663 ◽  
Author(s):  
Junhyeok Jang ◽  
Tsuyoshi Inoue ◽  
Masayuki Kawazoe ◽  
Hirohisa Yoshida
Keyword(s):  
Polymer Blend ◽  
Dissipative System ◽  
Order Structure ◽  
Solvent Casting ◽  
Two Dimensional ◽  
Casting Condition ◽  
Immiscible Polymer Blend ◽  
Immiscible Polymer ◽  
Order Structures ◽  
Meso Scale

ABSTRACTThe meso-scale hexagonally packed order structures were obtained by solvent casting from the immiscible polymer blend solutions. The order structures were the result of phase separation occurred at the evaporation front during the solvent casting, the so-called dissipative system. The order domains were flat spheres or ellipses on the matrix surface depending on the combination of polymer blends and solvent, the diameter of spheres were tunable from 0.5 to 3 μm by the casting condition, such as the solvent used for mixing and the evaporation rate. Three blend systems, NBR/SBR, NBR/BR and PMMA/BR, formed two dimensional order structures with the domain size in μm-scale by solvent casting from those homogeneous solutions. The conditions to obtain the two dimensional meso-scale order structure were evaluated.

Effects of missing data on characterization of complex dynamics from time series

2019 ◽  
Vol 66 ◽  
pp. 31-40 ◽  
Author(s):  
O.N. Pavlova ◽  
A.S. Abdurashitov ◽  
M.V. Ulanova ◽  
N.A. Shushunova ◽  
A.N. Pavlov
Keyword(s):  
Time Series ◽  
Missing Data ◽  
Complex Dynamics

Importance of the determination of the higher order structure in the in-use stability studies of biopharmaceuticals

2020 ◽  
Vol 9 (2) ◽  
pp. 49-51
Author(s):  
Alian A Astier
Keyword(s):  
Analytical Methods ◽  
Higher Order ◽  
Order Structure ◽  
Spectroscopic Methods ◽  
Stability Studies ◽  
Structure Of Proteins ◽  
Order Structures

Knowledge of the higher order structure of proteins is important in biopharmacological studies, such as in biosimilar comparability studies. This paper describes the analytical methods available to determine higher order structures. It finds that, although other methods exist, spectroscopic methods remain most commonly used.

Sign in / Sign up

Export Citation Format

Share Document