110 results match your criteria chaotic viewpoint

Logistic map trajectory distributions: Renormalization-group, entropy, and criticality at the transition to chaos.

Chaos 2021 Mar;31(3):033112

Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, México 01000 D.F., Mexico.

We study the evolution of the probability density of ensembles of iterates of the logistic map that advance toward and finally remain at attractors of representative dynamical regimes. We consider the mirror families of superstable attractors along the period-doubling cascade and of chaotic-band attractors along the inverse band-splitting cascade. We examine also their common aperiodic accumulation point. Read More

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A chaotic viewpoint-based approach to solve haplotype assembly using hypergraph model.

PLoS One 2020 29;15(10):e0241291. Epub 2020 Oct 29.

Department of Biology, Faculty of Sciences, University of Zanjan, Zanjan, Iran.

Decreasing the cost of high-throughput DNA sequencing technologies, provides a huge amount of data that enables researchers to determine haplotypes for diploid and polyploid organisms. Although various methods have been developed to reconstruct haplotypes in diploid form, their accuracy is still a challenging task. Also, most of the current methods cannot be applied to polyploid form. Read More

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December 2020

Gene-mating dynamic evolution theory: fundamental assumptions, exactly solvable models and analytic solutions.

Theory Biosci 2020 Jun 7;139(2):105-134. Epub 2020 Feb 7.

Department of Physics, Center for Theoretical Physics, and Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei, 10617, Taiwan.

Fundamental properties of macroscopic gene-mating dynamic evolutionary systems are investigated. A model is studied to describe a large class of systems within population genetics. We focus on a single locus, any number of alleles in a two-gender dioecious population. Read More

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Markov modeling via ordinal partitions: An alternative paradigm for network-based time-series analysis.

Phys Rev E 2019 Dec;100(6-1):062307

School of Mathematics & Statistics, The University of Western Australia, Crawley WA 6009, Australia.

Mapping time series to complex networks to analyze observables has recently become popular, both at the theoretical and the practitioner's level. The intent is to use network metrics to characterize the dynamics of the underlying system. Applications cover a wide range of problems, from geoscientific measurements to biomedical data and financial time series. Read More

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December 2019

Commentary: Chimneys and Physician Stent-Graft Modifications: A Chaotic Process or a Glimpse of the Future?

J Endovasc Ther 2020 02;27(1):143-144

Department of Thoracic and Vascular Surgery, Arnaud de Villeneuve Hospital, Montpellier, France.

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February 2020

A peaceful death orchestrates immune balance in a chaotic environment.

Proc Natl Acad Sci U S A 2019 11 25;116(46):22901-22903. Epub 2019 Oct 25.

Department of Surgery, University of Pittsburgh School of Medicine, Pittsburgh, PA 15213;

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November 2019

Algorithmics, Possibilities and Limits of Ordinal Pattern Based Entropies.

Entropy (Basel) 2019 May 29;21(6). Epub 2019 May 29.

Institute of Mathematics, University of Lübeck, D-23562 Lübeck, Germany.

The study of nonlinear and possibly chaotic time-dependent systems involves long-term data acquisition or high sample rates. The resulting big data is valuable in order to provide useful insights into long-term dynamics. However, efficient and robust algorithms are required that can analyze long time series without decomposing the data into smaller series. Read More

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Chaotic Manifold Analysis of Four-Screw Extruders Based on Lagrangian Coherent Structures.

Materials (Basel) 2018 Nov 14;11(11). Epub 2018 Nov 14.

School of Chemistry and Materials Science, Liaoning Shihua University, Fushun 113001, China.

The four-screw extruder (FSE) is a novel equipment for polymer processing. In this paper, from a new viewpoint of Lagrangian coherent structures (LCS), two-dimensional fluid transport and chaotic mixing characteristics within three kinds of novel industrial FSEs are explored based on LCS to better understand the flow and mixing natures in the FSEs. Firstly, based on the finite-time invariant manifold theory, the finite-time Lyapunov exponent (FTLE) and LCS of FSEs are calculated by considering the different initial time. Read More

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November 2018

Why is the environment important for decision making? Local reservoir model for choice-based learning.

PLoS One 2018 4;13(10):e0205161. Epub 2018 Oct 4.

Interdisciplinary Graduate School, University of Yamanashi, Kofu, Yamanashi, Japan.

Decision making based on behavioral and neural observations of living systems has been extensively studied in brain science, psychology, neuroeconomics, and other disciplines. Decision-making mechanisms have also been experimentally implemented in physical processes, such as single photons and chaotic lasers. The findings of these experiments suggest that there is a certain common basis in describing decision making, regardless of its physical realizations. Read More

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Application of chaos in a recurrent neural network to control in ill-posed problems: a novel autonomous robot arm.

Biol Cybern 2018 10 20;112(5):495-508. Epub 2018 Aug 20.

Department of Electrical and Electronic Engineering, Graduate School of Natural Science and Technology, Okayama University, 3-1-1 Tsushima-naka, Kita-ku, Okayama, 700-8530, Japan.

Inspired by a viewpoint that complex/chaotic dynamics would play an important role in biological systems including the brain, chaotic dynamics introduced in a recurrent neural network was applied to robot control in ill-posed situations. By computer experiments we show that a model robot arm without an advanced visual processing function can catch a target object and bring it to a set position under ill-posed situations (e.g. Read More

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October 2018

Chaos theory for clinical manifestations in multiple sclerosis.

Med Hypotheses 2018 Jun 11;115:87-93. Epub 2018 Apr 11.

Department of Neurology, Tohoku Medical and Pharmaceutical University, Sendai, Japan.

Multiple sclerosis (MS) is a demyelinating disease which characteristically shows repeated relapses and remissions irregularly in the central nervous system. At present, the pathological mechanism of MS is unknown and we do not have any theories or mathematical models to explain its disseminated patterns in time and space. In this paper, we present a new theoretical model from a viewpoint of complex system with chaos model to reproduce and explain the non-linear clinical and pathological manifestations in MS. Read More

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Sudden Cardiac Death from the Perspective of Nonlinear Dynamics.

Motohisa Osaka

J Nippon Med Sch 2018 ;85(1):11-17

Department of Basic Science, Nippon Veterinary and Life Science University.

There are some reports that sympathetic nerve activity (SNA) shows a characteristic pattern a few hours before the onset of lethal ventricular arrhythmias. If so, it could be possible to predict sudden cardiac death a few hours in advance of its occurrence. Recently, we reported that a previously unidentified V-trough of SNA is a potential precursor of lethal cardiac events by examining 24-hour ambulatory electrocardiograms in which such an event was recorded by chance. Read More

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On a Dynamical Approach to Some Prime Number Sequences.

Entropy (Basel) 2018 Feb 19;20(2). Epub 2018 Feb 19.

Escuela Tecnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Madrid 28040, Spain.

We show how the cross-disciplinary transfer of techniques from dynamical systems theory to number theory can be a fruitful avenue for research. We illustrate this idea by exploring from a nonlinear and symbolic dynamics viewpoint certain patterns emerging in some residue sequences generated from the prime number sequence. We show that the sequence formed by the residues of the primes modulo are maximally chaotic and, while lacking forbidden patterns, unexpectedly display a non-trivial spectrum of Renyi entropies which suggest that every block of size m > 1 , while admissible, occurs with different probability. Read More

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February 2018

Inference of financial networks using the normalised mutual information rate.

PLoS One 2018 8;13(2):e0192160. Epub 2018 Feb 8.

Department of Mathematical Sciences, University of Essex, Colchester, United Kingdom.

In this paper, we study data from financial markets, using the normalised Mutual Information Rate. We show how to use it to infer the underlying network structure of interrelations in the foreign currency exchange rates and stock indices of 15 currency areas. We first present the mathematical method and discuss its computational aspects, and apply it to artificial data from chaotic dynamics and to correlated normal-variates data. Read More

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and Its Rapid Rise among Healthy People.

Food Saf (Tokyo) 2017 Dec 29;5(4):122-150. Epub 2017 Dec 29.

Department of Bacteriology, Nagoya University Graduate School of Medicine, 
65 Tsurumai-cho, Showa-ku, Nagoya, Aichi 466-8550, Japan.

Since around the 2000s, () resistant to both oxyimino-cephalosporins and fluoroquinolones has remarkably increased worldwide in clinical settings. The kind of is also identified in patients suffering from community-onset infectious diseases such as urinary tract infections. Moreover, recoveries of multi-drug resistant from the feces of healthy people have been increasingly documented in recent years, although the actual state remains uncertain. Read More

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December 2017

Achieving control and synchronization merely through a stochastically adaptive feedback coupling.

Chaos 2017 Jul;27(7):073110

School of Mathematical Sciences and Centre for Computational Systems Biology of ISTBI, Fudan University, Shanghai 200433, China.

Techniques of deterministically adaptive feedback couplings have been successfully and extensively applied to realize control or/and synchronization in chaotic dynamical systems and even in complex dynamical networks. In this article, a technique of stochastically adaptive feedback coupling is novelly proposed to not only realize control in chaotic dynamical systems but also achieve synchronization in unidirectionally coupled systems. Compared with those deterministically adaptive couplings, the proposed stochastic technique interestingly shows some advantages from a physical viewpoint of time and energy consumptions. Read More

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Period doubling cascades of limit cycles in cardiac action potential models as precursors to chaotic early Afterdepolarizations.

BMC Syst Biol 2017 04 4;11(1):42. Epub 2017 Apr 4.

Institute of Applied Mathematics and Statistics, University of Hohenheim, Schloss 1, Stuttgart, 70599, Germany.

Background: Early afterdepolarizations (EADs) are pathological voltage oscillations during the repolarization phase of cardiac action potentials (APs). EADs are caused by drugs, oxidative stress or ion channel disease, and they are considered as potential precursors to cardiac arrhythmias in recent attempts to redefine the cardiac drug safety paradigm. The irregular behaviour of EADs observed in experiments has been previously attributed to chaotic EAD dynamics under periodic pacing, made possible by a homoclinic bifurcation in the fast subsystem of the deterministic AP system of differential equations. Read More

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Climate science: Predictable ice ages on a chaotic planet.

Didier Paillard

Nature 2017 02;542(7642):419-420

Laboratory of Climate and Environmental Sciences, Centre d'Etudes de Saclay, 91191 Gif-sur-Yvette, France.

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February 2017

Relaxation with long-period oscillation in defect turbulence of planar nematic liquid crystals.

Phys Rev E 2016 Oct 4;94(4-1):042701. Epub 2016 Oct 4.

Department of Applied Quantum Physics and Nuclear Engineering, Kyushu University, Fukuoka 819-0395, Japan.

Through experiments, we studied defect turbulence, a type of spatiotemporal chaos in planar systems of nematic liquid crystals, to clarify the chaotic advection of weak turbulence. In planar systems of large aspect ratio, structural relaxation, which is characterized by the dynamic structure factor, exhibits a long-period oscillation that is described well by a combination of a simple exponential relaxation and underdamped oscillation. The simple relaxation arises as a result of the roll modulation while the damped oscillation is manifest in the repetitive gliding of defect pairs in a local area. Read More

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October 2016

The Role of Transposable Elements in Ontogenesis.

Usp Fiziol Nauk 2016 Jul-Sep;47(3):70-96

The article describes the role of transposable elements in the ontogenesis of eukaryotes. Adaptive and controlled transposition of mobile elements occurs at different stages of development of an organism, causing dramatic changes in the regulation of gene expression, representing a cascade of reactions inherited genome evolutionary fixed at the species level. At this cascade of reactions involved regulatory system of tissue-specific expression of proteins splice variants in connection with the role of adaptive genes mosaic structure to numerous transpositions and the interconnectedness of mechanisms their evolutionary stabilization. Read More

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January 2018

Reply to "comment on 'entanglement and chaos in the kicked top' ".

Phys Rev E Stat Nonlin Soft Matter Phys 2015 Sep 23;92(3):036902. Epub 2015 Sep 23.

Laboratoire de Physique Théorique et Modélisation (CNRS Unité 8089), Université de Cergy-Pontoise, Site de Saint Martin, 95302 Cergy-Pontoise cedex, France.

We reply to the preceding Comment that attempts to clarify the connection between chaos and entanglement exposed in our previous paper [Phys. Rev. E 83, 016207 (2011)PRESCM1539-375510. Read More

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September 2015

Comment on "entanglement and chaos in the kicked top".

Vaibhav Madhok

Phys Rev E Stat Nonlin Soft Matter Phys 2015 Sep 23;92(3):036901. Epub 2015 Sep 23.

Department of Mathematics and Department of Zoology, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada.

We comment on the investigation of the connection between chaos and dynamically generated entanglement in Lombardi and Matzkin [Phys. Rev. E 83, 016207 (2011)PRESCM1539-375510. Read More

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September 2015

Regeneration cycle and the covariant Lyapunov vectors in a minimal wall turbulence.

Phys Rev E Stat Nonlin Soft Matter Phys 2015 Aug 24;92(2):023022. Epub 2015 Aug 24.

Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan.

Considering a wall turbulence as a chaotic dynamical system, we study regeneration cycles in a minimal wall turbulence from the viewpoint of orbital instability by employing the covariant Lyapunov analysis developed by [F. Ginelli et al. Phys. Read More

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Optics. A chaotic approach clears up imaging.

Science 2015 Apr;348(6231):189-90

Department of Electrical Engineering, Princeton University. Princeton, NJ 08544 USA.

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Editorial Comment to Nocturia in men is a chaotic condition dominated by nocturnal polyuria.

Bassem S Wadie

Int J Urol 2015 May 12;22(5):501-2. Epub 2015 Feb 12.

Voiding Dysfunction/Female Urology, Urology and Nephrology Center, Mansoura University, Mansoura, Egypt.

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Organizing disparate, seemingly chaotic data into a meaningful and useful order.

Stanley Robboy

Arch Pathol Lab Med 2015 Feb;139(2):159

From the Department of Pathology, Duke University Medical Center, Durham, North Carolina.

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February 2015

Escape dynamics of many hard disks.

Phys Rev E Stat Nonlin Soft Matter Phys 2014 Nov 26;90(5-1):052923. Epub 2014 Nov 26.

School of Science and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda City, Hyogo, Japan.

Many-particle effects in escapes of hard disks from a square box via a hole are discussed in a viewpoint of dynamical systems. Starting from N disks in the box at the initial time, we calculate the probability P_{n}(t) for at least n disks to remain inside the box at time t for n=1,2,.. Read More

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November 2014

Damping filter method for obtaining spatially localized solutions.

Phys Rev E Stat Nonlin Soft Matter Phys 2014 May 14;89(5):052910. Epub 2014 May 14.

Department of Physics and Astronomy, Graduate School of Science, Kyoto University, Japan.

Spatially localized structures are key components of turbulence and other spatiotemporally chaotic systems. From a dynamical systems viewpoint, it is desirable to obtain corresponding exact solutions, though their existence is not guaranteed. A damping filter method is introduced to obtain variously localized solutions and adapted in two typical cases. Read More

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