scholarly journals Potential theory and a characterization of polynomials in complex dynamics

2011 ◽  
Vol 15 (10) ◽  
pp. 152-159 ◽  
Author(s):  
Yûsuke Okuyama ◽  
Małgorzata Stawiska
Keyword(s):  
Potential Theory ◽  
Complex Dynamics

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.

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.

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.

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

scholarly journals DINÂMICA DA ZONA DE RASA DE SHOALING E O TRANSPORTE DE SEDIMENTOS NA DESEMBOCADURA SUL DO COMPLEXO ESTUARINO DE PARANAGUÁ – PR

2004 ◽  
Vol 54 ◽  
Author(s):  
Georgina Jacintho Martins ◽  
Eduardo Marone ◽  
Rodolfo José Angulo ◽  
Mauricio Almeida Noernberg ◽  
Clécio José Lopes De Quadros
Keyword(s):  
Complex Dynamics ◽  
Tidal Currents ◽  
Coastal Currents ◽  
Tidal Circulation ◽  
Wave Parameters ◽  
Tidal Changes ◽  
Hydrodynamic Potential ◽  
The Mean ◽  
The Waves

O presente trabalho caracteriza os parâmetros de ondas e analisa o potencial hidrodinâmico para o transporte de sedimentos por tração e de material particulado em suspensão, na costa adjacente à desembocadura sul do complexo estuarino de Paranaguá em decorrência do regime de ondas e das correntes de marés atuantes em períodos de mar calmo. A área estudada apresenta uma dinâmica complexa, devido à sua localização na saída de um grande estuário em uma costa com energia de onda relativamente elevada. Os objetivos principais foram os de caracterizar os parâmetros de ondas, avaliar o padrão de correntes junto à costa e estimar o potencial das correntes para o transporte de sedimentos. A caracterização dos parâmetros de ondas e das correntes paralelas à costa foi obtida através de correntômetro/ondômetro direcional eletromagnético InterOcean S4, fundeado imediatamente atrás da arrebentação das ondas na praia do Balneário Atami. Os fundeios foram realizados em períodos de baixa energia de ondas, quando era possível a sua instalação, sendo que os resultados são referentes a tais condições. Os resultados apontaram que a direção preferencial de chegada de ondas é de SE, sendo que a direção predominante de transporte médio longitudinal à costa foi de nordeste para sudoeste. As inversões das correntes associadas às variações da maré indicaram uma efetiva influência destas na direção do transporte. Com base nos resultados obtidos, são apresentadas sugestões visando incentivar a implementação de estratégias de monitoramento do fluxo de sedimentos costeiro. SHALLOW SHOALING ZONE DYNAMICS AND SEDIMENT TRANSPORT IN THE PARANAGUÁ BAY OUTLET Abstract This work presents a characterization of wave parameters and climate. It analyzes the hydrodynamic potential for sediments transport by traction as well by suspension (suspended particulate matter - SPM), carried out both by coastal currents, waves and the tidal circulation acting in the adjacent coast of the southern outlet of Paranaguá Estuarine Complex. This area presents a complex dynamics, due to its location, morphology and the interaction of several coastal processes acting among its limits. The main goal was to characterize the wave parameters and climate, to identify the coastal currents, and to understand the roles of these currents for the sediments transport, quantifying its magnitude. The characterization of the wave parameters and of the coastal currents was obtained through mooring a directional wave and current gauge InterOcean S4 immediately seaward of the surf of Atami beach, PR. The moorings were accomplished in periods of low wave energy, the only ones allowing the deployment, and the results are regarding such conditions. The results suggested that the preferential direction of wave propagation is SE and the predominant direction of the mean transport, longitudinal to the coast, was from Northeast to Southwest. The inversion of the longitudinal currents was associated to the tidal changes and they indicated an effective influence of the tidal currents, acting in the southern outlet of the Paranaguá estuary, in the direction of the mean mass transport. The hydrodynamic complexity of the place was directly related to these constraints, being linked to the net balance of the forcing of the tidal currents and the waves incidence. According to the obtained results, some suggestions were presented with the objective of suggesting strategies for the waves, currents and coastal transport studies, as a powerful tool for managing coastal zone problems.

The application of fluorescence-conjugated pyrrole/imidazole polyamides in the characterization of protein–DNA complex formation

2016 ◽  
Vol 4 (3) ◽  
pp. 391-399 ◽  
Author(s):  
Yong-Woon Han ◽  
Hiroshi Sugiyama ◽  
Yoshie Harada
Keyword(s):  
Complex Formation ◽  
Fluorescent Probes ◽  
Complex Dynamics ◽  
Dna Complex

Fluorescent conjugates of Py–Im polyamides are used as sequence-specific fluorescent probes and applied to the characterisation of protein–DNA complex dynamics.

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