FRACTALITY IN LITERARY NARRATIVE

Fractals ◽  
2007 ◽  
Vol 15 (04) ◽  
pp. 351-363
Author(s):  
J. B. RAMÍREZ-MALO ◽  
M. DOMÍNGUEZ ◽  
F. BELLIDO
Keyword(s):  
Dynamical System ◽  
Correlation Dimension ◽  
Discrete Dynamical System ◽  
Narrative Discourse ◽  
Embedding Problem ◽  
Nonlinear Characteristic ◽  
Generator System ◽  
Formal Expression ◽  
Data Source ◽  
Literary Narrative

In the context of current Narratology, a novel can be regarded as an information generator system. This information can be symbolically and numerically codified and, subsequently, studied by nonlinear characteristic geometrical methods. Using this approach, geometric structures underlying the narrative discourse become evident. In this work, using a particular novel as our experimental data source, a formal expression for a discrete dynamical system is deduced, which generates a representative orbit of the narrative discourse evolution. The fractal dimension of this orbit is calculated from the correlation dimension and its deterministic character is unambiguously proved by solving the associated embedding problem. Finally, we describe the general features that a novel must satisfy in order to apply the proposed procedure.

scholarly journals Why do we accept a narrative discourse ascribed to a “third-person narrator” as true? The classical, and a cognitive approach

Semiotica ◽  
2015 ◽  
Vol 2015 (203) ◽  
Author(s):  
Erzsébet Szabó
Keyword(s):  
Cognitive Architecture ◽  
Narrative Discourse ◽  
Narrative Comprehension ◽  
Cognitive Approach ◽  
States Of Affairs ◽  
Linguistic Representation ◽  
Free Representation ◽  
Third Person ◽  
Literary Narrative

AbstractThe aim of the present paper is to discuss the question of why readers accept a literary narrative discourse attributed traditionally to an “omniscient third-person narrator” unconditionally as true. I will advocate two theses. First, that this characteristic of narrative comprehension is a consequence of a grammatical feature of the narrative discourse, namely, the absence of the “narrating-I.” This format mimics what Cosmides and Tooby label as scope-free representation, i.e., a representation that is not bound by scope-operators and thus treated by a cognitive architecture as architecturally true. Second, narrative discourse ascribed traditionally to a third person narrator should be understood as the linguistic representation of the true states of affairs of a narrative world.

Identification of gene interactions in fungal–plant symbiosis through discrete dynamical system modelling

2009 ◽  
Vol 3 (5) ◽  
pp. 414-428 ◽  
Author(s):  
J.G.C. Angeles ◽  
Z. Ouyang ◽  
A.M. Aguirre ◽  
P.J. Lammers ◽  
M. Song
Keyword(s):  
Dynamical System ◽  
Discrete Dynamical System ◽  
Gene Interactions ◽  
System Modelling

scholarly journals $(q,t)$-Characters of Kirillov-Reshetikhin Modules of Type $A_r$ as Quantum Cluster Variables

10.37236/7188 ◽  
2018 ◽  
Vol 25 (1) ◽  
Author(s):  
Bolor Turmunkh
Keyword(s):  
Dynamical System ◽  
Discrete Dynamical System ◽  
Cluster Algebra ◽  
Quiver Varieties ◽  
Quantum Cluster ◽  
T System

Nakajima (2003) introduced a $t$-deformation of $q$-characters, $(q,t)$-characters for short, and their twisted multiplication through the geometry of quiver varieties. The Nakajima $(q,t)$-characters of Kirillov-Reshetikhin modules satisfy a $t$-deformed $T$-system. The $T$-system is a discrete dynamical system that can be interpreted as a mutation relation in a cluster algebra in two different ways, depending on the choice of direction of evolution. In this paper, we show that the Nakajima $t$-deformed $T$-system of type $A_r$ forms a quantum mutation relation in a quantization of exactly one of the cluster algebra structures attached to the $T$-system.

Geometry and Kinematics of Cylindrical Waterbomb Tessellation

2021 ◽  
Author(s):  
Rinki Imada ◽  
Tomohiro Tachi
Keyword(s):  
Dynamical System ◽  
Recurrence Relation ◽  
Discrete Dynamical System ◽  
Kinematic Model ◽  
Theoretical Reason ◽  
Finite Solution ◽  
Geometry And Kinematics ◽  
Folded Surfaces

Abstract Folded surfaces of origami tessellations have attracted much attention because they sometimes exhibit non-trivial behaviors. It is known that cylindrical folded surfaces of waterbomb tessellation called waterbomb tube can transform into wave-like surfaces, which is a unique phenomenon not observed on other tessellations. However, the theoretical reason why wave-like surfaces arise has been unclear. In this paper, we provide a kinematic model of waterbomb tube by parameterizing the geometry of a module of waterbomb tessellation and derive a recurrence relation between the modules. Through the visualization of the configurations of waterbomb tubes under the proposed kinematic model, we classify solutions into three classes: cylinder solution, wave-like solution, and finite solution. Furthermore, we give proof of the existence of a wave-like solution around one of the cylinder solutions by applying the knowledge of the discrete dynamical system to the recurrence relation.

scholarly journals The Limit Point of the Pentagram Map

2018 ◽  
Vol 2020 (9) ◽  
pp. 2818-2831 ◽  
Author(s):  
Max Glick
Keyword(s):  
Dynamical System ◽  
Limit Point ◽  
Convex Polygon ◽  
Discrete Dynamical System ◽  
Explicit Description ◽  
Cartesian Coordinates ◽  
The Subject ◽  
Pentagram Map

Abstract The pentagram map is a discrete dynamical system defined on the space of polygons in the plane. In the 1st paper on the subject, Schwartz proved that the pentagram map produces from each convex polygon a sequence of successively smaller polygons that converges exponentially to a point. We investigate the limit point itself, giving an explicit description of its Cartesian coordinates as roots of certain degree three polynomials.

EFFECT OF STEP SIZE ON BIFURCATIONS AND CHAOS OF A MAP-BASED BVP OSCILLATOR

2010 ◽  
Vol 20 (06) ◽  
pp. 1789-1795 ◽  
Author(s):  
HONGJUN CAO ◽  
CAIXIA WANG ◽  
MIGUEL A. F. SANJUÁN
Keyword(s):  
Dynamical System ◽  
Neuron Model ◽  
Discrete Dynamical System ◽  
Period Doubling ◽  
Vital Role ◽  
Bifurcation Parameter ◽  
Decomposition Technique ◽  
Step Size ◽  
Discrete Step ◽  
Slow Decomposition

The continuous Bonhoeffer–van der Pol (BVP for short) oscillator is transformed into a map-based BVP model by using the forward Euler scheme. At first, the bifurcations and chaos of the map-based BVP model are investigated when the step size varies as a bifurcation parameter. By using the fast-slow decomposition technique, a two-parameter bifurcation diagram is obtained to give insight into the effect of the step size on bifurcations and chaos of the map-based BVP model. The investigation shows that the period-doubling bifurcation is dependent on the step size, while the saddle-node bifurcation is independent of the step size. Second, when the fast–slow decomposition technique cannot be used, we rigorously prove that in the map-based BVP model there exists chaos in the sense of Marotto when the discrete step size varies as a bifurcation parameter. These results show that the discrete step sizes play a vital role between the continuous-time dynamical system and the corresponding discrete dynamical system. Much attention should be paid on the step size when a map-based neuron model is used as an alternative to a continuous neuron model.

Application of Correlation Dimension in Extraction of Power Plant Blower Bearing Fault Feature

2014 ◽  
Vol 687-691 ◽  
pp. 1044-1048
Author(s):  
Zuo Wei Pan ◽  
Shuang Yin Liang ◽  
Zhuang Li ◽  
Yi Bing Liu
Keyword(s):  
Dynamical System ◽  
Fractal Dimension ◽  
Power Plant ◽  
Normal Condition ◽  
Correlation Dimension ◽  
Vibration Signals ◽  
Bearing Fault ◽  
Dynamical Features ◽  
Bearing Vibration ◽  
Probability Measurement

A mechanical system shows different dynamical features under normal running conditions and faulty. The fractal dimension is a probability measurement of a dynamical system strange attractor. It is very sensitive to the inhomogeneity of a stranger attractor. Therefore it is often used feature value for indicating machine fault. The correlation dimension is proposed to be used in detecting the bearing fault of a power plant blower. Analysis result demonstrates the correlation dimension from measured bearing vibration signals is able to identify different running conditions of the blower. The correlation dimension values of the normal condition and faulty condition can be classified clearly.

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