Self-Organization in Psychotherapy - Testing the Synergetic Model of Change Processes by Guenter Karl Schiepek, Igor eTominschek, Stephan eHeinzel

“…These models originate from the theory of self-organization (Synergetics), from the theory of deterministic chaos, or from the approach of self-organized criticality. …”
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Dissipativity as a Principle of Morphological Transformations of Audiovisual Art by Z. I. Alforova

“…Mandelbrot with his theory of deterministic chaos, P. Buck and others. However, the fundamental work is by I. …”
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Ventilatory chaos is impaired in carotid atherosclerosis. by Laurence Mangin, Guy Lesèche, Alain Duprey, Christine Clerici

“…In the control group, 92% of the time series exhibit nonlinear deterministic chaos with positive noise limit, whereas only 68% had a positive noise limit value in the stenoses groups. …”
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Vocalizations of female frogs contain nonlinear characteristics and individual signatures. by Fang Zhang, Juan Zhao, Albert S Feng

“…We recorded 671 calls from six captive gravid females and found that their vocalizations are as complex as male calls, with numerous calls exhibiting complex upward/downward frequency modulations, and 39% of female calls containing at least one component of the NLP, i.e., subharmonics, deterministic chaos, frequency jump, or biphonation. Furthermore, females in captivity tend to call in bouts throughout the day and night, and the call rate varies hourly with a maximum of >10 calls per minute matching the maximum call rate in males. …”
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Discriminating noise from chaos in heart rate variability : application to prognosis in heart failure by Arzeno, Natalia M. (Natalia María Arzeno Soltero)

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In-phase synchronization between two auto-oscillating bubbles by Nguyen, Dang Minh, Sanathanan, Muttikulangara Swaminathan, Miao, Jianmin, Rivas, David Fernandez, Ohl, Claus-Dieter

“…Acoustically driven bubbles are nonlinear oscillators showing a wide range of behaviors such as period-doubling bifurcations, deterministic chaos, and synchronization to an external signal. …”
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Post-Flood UAV-Based Free Space Optics Recovery Communications with Spatial Mode Diversity by Angela Amphawan, Norhana Arsad, Tse-Kian Neo, Muhammed Basheer Jasser, Athirah Mohd Ramly

“…The time-varying channel matrix indicated the presence of nonlinear deterministic chaos. This opens up new possibilities for research on state-space reconstruction of the channel matrix.…”
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Understanding Complex Traffic Dynamics with the Nondimensionalisation Technique by Juan Francisco Sánchez-Pérez, Santiago Oviedo-Casado, Gonzalo García-Ros, Manuel Conesa, Enrique Castro

“…Thus, we are able to show extreme sensitivity to initial conditions and parameter changes, a classical signature of deterministic chaos. Moreover, we obtain simple relations among the different variables governing traffic, thus managing to efficiently describe the onset of traffic jams. …”
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Uncovering Information Linkages between Bitcoin, Sustainable Finance and the Impact of COVID-19: Fractal and Entropy Analysis by Kuo-Chen Lu, Kuo-Shing Chen

“…To detect the regularity/irregularity property of a time series, approximate entropy is introduced to measure deterministic chaos. Using daily data for Bitcoin and sustainable finance, namely DJSW, Green Bond, Carbon, and Clean Energy, we examine long memory behaviour by employing a rescaled range statistic (R/S) methodology. …”
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Age structured discrete-time disease models with demographic population cycles by P. van den Driessche, Abdul-Aziz Yakubu

“…However, when the recruitment function is the Ricker model, a juvenile-adult disease-free system exhibits a range of dynamic behaviours from stable equilibria to deterministic period k population cycles to Neimark-Sacker bifurcations and deterministic chaos. For these two models, we use an extension of the next generation matrix approach for calculating $\mathcal {R}_{0} $ to account for populations with locally asymptotically stable period k cycles in the juvenile-adult disease-free system. …”
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Hereditary profiles of disorderly transcription? by Simons Johannes WIM

“…Therefore our hypothesis is that deviating profiles reflect disorder in the localization of genes within the nucleus</p> <p>The underlying cause(s) for these disorderly states remain obscure; it could be noise and/or deterministic chaos. Presence of mutational damage does not appear to be predominantly involved.…”
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STABILITY, BIFURCATIONS AND CHAOS IN UNEMPLOYMENT NON-LINEAR DYNAMICS by Pagliari Carmen, Mattoscio Nicola, Odoardi Iacopo, Tenerelli Fabiana

“…The study also allows to find the range of variability of some characteristic parameters that might be avoided for not having an absolute unpredictability of unemployment dynamics (deterministic chaos): unpredictability is equivalent to uncontrollability because of the total absence of information about the future value of the variable to be controlled.…”
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Ultrasonic vocalizations in golden hamsters (Mesocricetus auratus) reveal modest sex differences and nonlinear signals of sexual motivation. by Marcela Fernández-Vargas, Robert E Johnston

“…The vocal repertoire was mainly composed of 1-note simple calls and at least half of them presented some degree of deterministic chaos. The prevalence of this nonlinear phenomenon was confirmed by low values of harmonic-to-noise ratio for most calls. …”
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A New Chaotic Oscillator&#x2014;Properties, Analog Implementation, and Secure Communication Application by Christian Nwachioma, J. Humberto Perez-Cruz, Abimael Jimenez, Martins Ezuma, R. Rivera-Blas

“…Also, the correlation dimension is estimated from the experimental time series with the result confirming that the responses are deterministic chaos. Finally, an electronic design of a secure communication application is carried out, wherein a nontrivial square wave is modulated by a <italic>master</italic> chaotic signal. …”
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Evolutionary geomorphology: thresholds and nonlinearity in landform response to environmental change by J. D. Phillips

“…Nonlinear geomorphic systems may exhibit complex behaviors not possible in linear systems, including dynamical instability and deterministic chaos. The latter are common in geomorphology, indicating that small, short-lived changes may produce disproportionately large and long-lived results; that evidence of geomorphic change may not reflect proportionally large external forcings; and that geomorphic systems may have multiple potential response trajectories or modes of adjustment to change. …”
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On History of Mathematical Economics: Application of Fractional Calculus by Vasily E. Tarasov

“…We divide the history of the application of fractional calculus in economics into the following five stages of development (approaches): ARFIMA; fractional Brownian motion; econophysics; deterministic chaos<b>;</b> mathematical economics. The modern stage (mathematical economics) of the Memory revolution is intended to include in the modern economic theory new economic concepts and notions that allow us to take into account the presence of memory in economic processes. …”
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Fracture asperity evolution during the transition from stick slip to stable sliding by Mei, Cheng, Wu, Wei

“…Both the fractures exhibit the alternative occurrence of small and large shear stress drops followed by the deterministic chaos in the transition stage. Our data indicate that the asperity radius of curvature correlates linearly with the dimensionless contact area under a given normal stress. …”
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Memory Storage Systems Utilizing Chaotic Attractor-Merging Bifurcation by Sou Nobukawa, Nobuhiko Wagatsuma, Haruhiko Nishimura, Keiichiro Inagaki, Teruya Yamanishi

“…By not restricting the additive noise, the deterministic chaos (an internal fluctuation) induces a similar phenomenon known as chaotic resonance. …”
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Time series analysis of the Bacillus subtilis sporulation network reveals low dimensional chaotic dynamics by Paola Lecca, Ivan Mura, Angela Re, Gary Barker, Adaoha Elizabeth Ihekwaba

“…The estimation of several indices reflecting the chaotic nature of a system indicates that this network’s dynamics is affected by deterministic chaos. The neat separation between the indices obtained from time series simulated from the model and those obtained from time series generated by Gaussian noise confirmed that the B. subtilis sporulation network dynamics is affected by chaos rather than by noise. …”
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Analysis of heart rhythm variability by linear and non-linear dynamics methods by Vuksanović Vesna, Gal Vera

“…The aim of this study was to investigate and to compare some parameters of deterministic chaos, tractal and spectral properties of heart rhythm variability in healthy subjects. …”
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