Self‐Organized Temporal Criticality: Bottom‐Up Resilience versus Top‐Down Vulnerability

Mahmoodi, Korosh; West, Bruce J.; Grigolini, Paolo

doi:10.1155/2018/8139058

Cited by 15 publications

(23 citation statements)

References 39 publications

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“…This interpretation may lead to an agreement with that adopted, for instance by Fels [48] where the belief is that the transfer of information and the intelligence itself are based on quantum coherence [28,29]. In our perspective, however, the origin of cognition is a process of self-organization [20,21] of the components of the seeds corresponding to water-induced germination. This process of self-organization generates both crucial events and quantum coherence.…”

Section: Discussionsupporting

confidence: 87%

“…Using the concept of intermediate asymptotics [42], we evaluate the slope of S(l) in an intermediate region between the region of short values of l and the region of large values of l. The region of short values of l is a region of transition to complexity. The region of large values of l is either a region of transition to ordinary statistics [20][21][22] or a region where the scarcity of events makes the evaluation of complexity inaccurate. The errors (given by MSE) of Table I measure the inaccuracy associated in determining the intermediate asymptotics.…”

Section: Resultsmentioning

confidence: 99%

“…We believe that crucial events can be realized spontaneously by the complex systems along the recent lines of the work of Ref. [20][21][22], advocating Self-Organized Temporal Criticality (SOTC). SOTC is a theory explaining how a system of interacting units may spontaneously generate temporal complexity.…”

Section: Introductionmentioning

confidence: 98%

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Biophotons: low signal/noise ratio reveals crucial events

Benfatto

Pace

Curceanu

et al. 2019

Preprint

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We study the emission of photons from germinating seeds using an experimental technique designed to detect photons of extremely small intensity when the signal/noise ratio is low. We analyze the dark count signal in the absence of germinating seeds as well as the photon emission during the germination process. The technique of analysis adopted here was originally designed to measure the temporal complexity of astrophysical, sociological and physiological processes. The foundation of this method, called Diffusion Entropy Analysis (DEA), rests on Kolmogorov complexity. The updated version of DEA used in this paper is designed to determine if the signal complexity is generated by either non-ergodic crucial events with a non-stationary correlation function or by the infinite memory of a stationary but non-integrable correlation function or by a mixture of both processes. We find that dark count yields the ordinary scaling, thereby showing that no complexity of either kinds may occur in the absence of any seeds in the chamber. In the presence of seeds in the chamber anomalous scaling emerges, reminiscent of that found in neuro-physiological processes. However, this is a mixture of both processes and with the progress of germination the non-ergodic component tends to vanish and complexity is dominated by the stationary infinite memory. We argue that this may be a sign of quantum coherence that according to some authors is the important ingredient of cognition.

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Section: Discussionsupporting

confidence: 87%

Section: Resultsmentioning

confidence: 99%

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Biophotons: low signal/noise ratio reveals crucial events

Benfatto

Pace

Curceanu

et al. 2019

Preprint

Self Cite

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“…For instance, Kahneman's bounded rationality approach has been reviewed in [25]. In [26], a social model of spontaneous self-organization generating criticality and resilience, called Self-Organized Temporal Criticality, has been proposed. The approach of Kahneman's bounded rationality requires the use of fractional derivatives in time, in the same way as Caputo fractional derivatives in our current paper.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Four‐Firm Competition Based on a Generalized Bounded Rationality and Different Mechanisms

Askar

Al-khedhairi

2019

Complexity

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In this paper, the Caputo derivative with fractional orders is suggested to model a competition among four competing firms. The proposed economic model that describes this competition is constructed based on a generalization of the traditional bounded rationality. In this generalization, we study the influence of memory parameter on the complex behavior of the model. Memory means that we not only take into account the changes in quantities at a current time, but also study the changes occurring in the quantities during an interval of time. For simplicity, it is assumed that the degree of memory is described by one parameter during that interval. The properties of the proposed model such as stability of equilibria, bifurcation, and chaos are studied. Furthermore, we introduce and study the cooperation that may take place among the four firms using Keeney-Raiffa approach.

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“…Here we stress that the research lines of this paper are determined by the recent form of self-organization called self-organized temporal criticality (SOTC) (Mahmoodi et al, 2017 , 2018a , b ; Mahmoodi et al, to be submitted). This form of criticality has been proposed for the purpose of establishing a new view of the field of Evolutionary Game Theory.…”

Section: Introductionmentioning

confidence: 99%

Bridging Waves and Crucial Events in the Dynamics of the Brain

2018

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Earlier research work on the dynamics of the brain, disclosing the existence of crucial events, is revisited for the purpose of making the action of crucial events, responsible for the 1/f −noise in the brain, compatible with the wave-like nature of the brain processes. We review the relevant neurophysiological literature to make clear that crucial events are generated by criticality. We also show that although criticality generates a strong deviation from the regular wave-like behavior, under the form of Rapid Transition Processes, the brain dynamics also host crucial events in regions of nearly coherent oscillations, thereby making many crucial events virtually invisible. Furthermore, the anomalous scaling generated by the crucial events can be established with high accuracy by means of direct analysis of raw data, suggested by a theoretical perspective not requiring the crucial events to yield a visible physical effect. The latter follows from the fact that periodicity, waves and crucial events are the consequences of a spontaneous process of self-organization. We obtain three main results: (a) the important role of crucial events is confirmed and established with greater accuracy than previously; (b) we demonstrate the theoretical tools necessary to understand the joint action of crucial events and periodicity; (c) we argue that the results of this paper can be used to shed light on the nature of this important process of self-organization, thereby contributing to the understanding of cognition.

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Self‐Organized Temporal Criticality: Bottom‐Up Resilience versus Top‐Down Vulnerability

Cited by 15 publications

References 39 publications

Biophotons: low signal/noise ratio reveals crucial events

Biophotons: low signal/noise ratio reveals crucial events

Analysis of a Four‐Firm Competition Based on a Generalized Bounded Rationality and Different Mechanisms

Bridging Waves and Crucial Events in the Dynamics of the Brain

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