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Antonio Politi
A powerful approach is proposed for the characterization of chaotic signals. It is based on the combined use of two classes of indicators: (i) the probability of suitable symbolic sequences (obtained from the ordinal patterns of the corresponding time series); (ii) the width of the corresponding cylinder sets. This way, much information can be extracted and used to quantify the complexity of a given signal. As an example of the potentiality of the method, I introduce a modified permutation entropy which allows for quantitative estimates of the Kolmogorov-Sinai entropy in hyperchaotic models, where other methods would be unpractical...
April 7, 2017: Physical Review Letters
Tim Cundy
Paget's disease (PDB) is a benign chronic focal disorder of older people. Affected bones have greatly accelerated bone turnover, a chaotic structure and are highly vascular. People with PDB are commonly asymtomatic but can also suffer chronic bone pain. Affected bones may become enlarged and deformed; and they are also liable to fracture. This article is protected by copyright. All rights reserved.
April 21, 2017: Journal of Bone and Mineral Research: the Official Journal of the American Society for Bone and Mineral Research
Ming Chen, Meng Fan, Yang Kuang
Ecological stoichiometry studies the balance of energy and multiple chemical elements in ecological interactions to establish how the nutrient content affect food-web dynamics and nutrient cycling in ecosystems. In this study, we formulate a food chain with two limiting nutrients in the form of a stoichiometric population model. A comprehensive global analysis of the rich dynamics of the targeted model is explored both analytically and numerically. Chaotic dynamic is observed in this simple stoichiometric food chain model and is compared with traditional model without stoichiometry...
April 18, 2017: Mathematical Biosciences
Thomas Urup, Line Mærsk Staunstrup, Signe Regner Michaelsen, Kristoffer Vitting-Seerup, Marc Bennedbæk, Anders Toft, Lars Rønn Olsen, Lars Jønson, Shohreh Issazadeh-Navikas, Helle Broholm, Petra Hamerlik, Hans Skovgaard Poulsen, Ulrik Lassen
BACKGROUND: Bevacizumab combined with chemotherapy produces clinical durable response in 25-30% of recurrent glioblastoma patients. This group of patients has shown improved survival and quality of life. The aim of this study was to investigate changes in gene expression associated with response and resistance to bevacizumab combination therapy. METHODS: Recurrent glioblastoma patients who had biomarker-accessible tumor tissue surgically removed both before bevacizumab treatment and at time of progression were included...
April 18, 2017: BMC Cancer
A V Cano, M G Cosenza
We show that chimera states, where differentiated subsets of synchronized and desynchronized dynamical elements coexist, can emerge in networks of hyperbolic chaotic oscillators subject to global interactions. As local dynamics we employ Lozi maps, which possess hyperbolic chaotic attractors. We consider a globally coupled system of these maps and use two statistical quantities to describe its collective behavior: the average fraction of elements belonging to clusters and the average standard deviation of state variables...
March 2017: Physical Review. E
Italo Guarneri
The Gross-Pitaevski map is a discrete time, split-operator version of the Gross-Pitaevski dynamics in the circle, for which exponential instability has been recently reported. Here it is studied as a classical dynamical system in its own right. A systematic analysis of Lyapunov exponents exposes strongly chaotic behavior. Exponential growth of energy is then shown to be a direct consequence of rotational invariance and for stationary solutions the full spectrum of Lyapunov exponents is analytically computed...
March 2017: Physical Review. E
Qian Wang, H T Quan
Based on previous studies in a single-particle system in both the integrable [Jarzynski, Quan, and Rahav, Phys. Rev. X 5, 031038 (2015)2160-330810.1103/PhysRevX.5.031038] and the chaotic systems [Zhu, Gong, Wu, and Quan, Phys. Rev. E 93, 062108 (2016)1539-375510.1103/PhysRevE.93.062108], we study the the correspondence principle between quantum and classical work distributions in a quantum many-body system. Even though the interaction and the indistinguishability of identical particles increase the complexity of the system, we find that for a quantum many-body system the quantum work distribution still converges to its classical counterpart in the semiclassical limit...
March 2017: Physical Review. E
Sangeeta Rani Ujjwal, Nirmal Punetha, Awadhesh Prasad, Ramakrishna Ramaswamy
Chimeras, namely coexisting desynchronous and synchronized dynamics, are formed in an ensemble of identically coupled identical chaotic oscillators when the coupling induces multiple stable attractors, and further when the basins of the different attractors are intertwined in a complex manner. When there is coupling-induced multistability, an ensemble of identical chaotic oscillators-with global coupling, or also under the influence of common noise or an external drive (chaotic, periodic, or quasiperiodic)-inevitably exhibits chimeric behavior...
March 2017: Physical Review. E
Juan D Bernal, Jesús M Seoane, Miguel A F Sanjuán
The phenomenon of chaotic scattering is very relevant in different fields of science and engineering. It has been mainly studied in the context of Newtonian mechanics, where the velocities of the particles are low in comparison with the speed of light. Here, we analyze global properties such as the escape time distribution and the decay law of the Hénon-Heiles system in the context of special relativity. Our results show that the average escape time decreases with increasing values of the relativistic factor β...
March 2017: Physical Review. E
Yuning Zhang, Yuning Zhang
Chaotic oscillation of bubbles in liquids reduces the efficiency of the sonochemical system and should be suppressed in the practical applications. In the present paper, a chaos control method based on the dual-frequency approach is numerically investigated and is proved to be an effective method even for cases with intensive energy input. It was found that the chaos could be successfully suppressed by the application of dual-frequency approach in a wide range of parameter zone (even with high acoustic pressure amplitude)...
April 9, 2017: Ultrasonics Sonochemistry
Takashi Kanamaru
We propose a pulse neural network that exhibits chaotic pattern alternations among stored patterns as a model of multistable perception, which is reflected in phenomena such as binocular rivalry and perceptual ambiguity. When we regard the mixed state of patterns as a part of each pattern, the durations of the retrieved pattern obey unimodal distributions. We confirmed that no chaotic properties are observed in the time series of durations, consistent with the findings of previous psychological studies. Moreover, it is shown that our model also reproduces two properties of multistable perception that characterize the relationship between the contrast of inputs and the durations...
April 14, 2017: Neural Computation
Kristin J Fredriksen, Helle K Schoeyen, Jan O Johannessen, Fredrik A Walby, Larry Davidson, Margrethe A Schaufel
OBJECTIVE: This study investigated how severely depressed individuals experienced the relationship between psychotic symptoms and suicidal ideation and behavior. METHOD: Semi-structured qualitative interviews were conducted with a purposive sample of nine inpatients from a psychiatric university hospital between September 2012 and May 2013 fulfilling diagnostic criteria for a psychotic depressive episode as part of a unipolar or bipolar disorder. Analysis was conducted using systematic text condensation...
2017: Psychiatry
Christian Bick
The notion of a weak chimeras provides a tractable definition for chimera states in networks of finitely many phase oscillators. Here, we generalize the definition of a weak chimera to a more general class of equivariant dynamical systems by characterizing solutions in terms of the isotropy of their angular frequency vector-for coupled phase oscillators the angular frequency vector is given by the average of the vector field along a trajectory. Symmetries of solutions automatically imply angular frequency synchronization...
2017: J Nonlinear Sci
Layla Haidrani
Why did you become an emergency nurse? I used to work as a healthcare assistant and did bank shifts in the emergency department (ED). While there, I was drawn to the unpredictable nature of the work, the challenge of delivering high-quality care in a chaotic environment. No matter what your role is, you are an important component of the emergency team. The resourcefulness of the nursing staff impressed me and I thought 'I want to do that'.
April 13, 2017: Emergency Nurse: the Journal of the RCN Accident and Emergency Nursing Association
Bhagwan N Rekadwad, Chandrahasya N Khobragade
In this paper, we presented the datasets generated using Chose Game representation (CGR) and Choase Game Representation of Frequencies (FCGR) of bacterial and archaeal 16S rRNA sequences. The data in the form of graphical representations was yielded with the help of ENDMEMO tool. The computational representation of these data datasets is useful for studies and interpretation of microbial sequences. Based on a technique from chaotic dynamics, the method produces a picture of any gene (DNA and RNA) sequence which displays both local and global patterns...
June 2017: Data in Brief
Ying Niu, Xuncai Zhang, Feng Han
Image encryption technology is one of the main means to ensure the safety of image information. Using the characteristics of chaos, such as randomness, regularity, ergodicity, and initial value sensitiveness, combined with the unique space conformation of DNA molecules and their unique information storage and processing ability, an efficient method for image encryption based on the chaos theory and a DNA sequence database is proposed. In this paper, digital image encryption employs a process of transforming the image pixel gray value by using chaotic sequence scrambling image pixel location and establishing superchaotic mapping, which maps quaternary sequences and DNA sequences, and by combining with the logic of the transformation between DNA sequences...
2017: Computational Intelligence and Neuroscience
Thomas Le Goff, Tung B T To, Olivier Pierre-Louis
We have modeled the nonlinear dynamics and the rheological behavior of a system under shear containing a membrane confined between two attractive walls. The presence of the membrane induces additional tangential forces on the walls that always increase the global friction. At low shear rates, the membrane exhibits chaotic dynamics with slow coarsening leading to thixotropy, i.e. to a slow decrease of the membrane-induced tangential forces on the walls. At intermediate shear rates, the membrane profile presents stationary periodic patterns...
April 2017: European Physical Journal. E, Soft Matter
Stefano Lepri, Cosimo Trono, Giovanni Giacomelli
Complex optical networks containing one or more gain sections are investigated, and the evidence of lasing action is reported; the emission spectrum reflects the topological disorder induced by the connections. A theoretical description compares well with the measurements, mapping the networks to directed graphs and showing the analogies with the problem of quantum chaos on graphs. We show that the interplay of chaotic diffusion and amplification leads to an emission statistic with characteristic heavy tails: for different topologies, an unprecedented experimental demonstration of Lévy statistics expected for random lasers is here provided for a continuous-wave pumped system...
March 24, 2017: Physical Review Letters
Johannes Floß, Paul Brumer
Coherent control of chaotic molecular systems, using laser-assisted alignment of sulphur dioxide (SO2) molecules in the presence of a static electric field as an example, is considered. Conditions for which the classical version of this system is chaotic are established, and the quantum and classical analogs are shown to be in very good correspondence. It is found that the chaos present in the classical system does not impede the alignment, neither in the classical nor in the quantum system. Using the results of numerical calculations, we suggest that laser-assisted alignment is stable against rotational chaos for all asymmetric top molecules...
March 28, 2017: Journal of Chemical Physics
Zhi Zhong, Haitao Qin, Lei Liu, Yabin Zhang, Mingguang Shan
A novel approach for silhouette-free image encryption based on interference is proposed using discrete multiple-parameter fractional Fourier transform (DMPFrFT), which generalizes from fractional Fourier transform. An original image is firstly applied by chaotic pixel scrambling (CPS) and then encoded into the real part of a complex signal. Using interference principle, the complex signal generates three phase-only masks in DMPFrFT domain. The silhouette of the original image cannot be extracted using one or two of the three phase-only masks...
March 20, 2017: Optics Express
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