21 papers · ranked by Valyu relevance
Maricela Cruz, Austin Wei, Johanna Hardin, Ami Radunskaya
The logistic map is a nonlinear difference equation well studied in the literature, used to model self-limiting growth in certain populations. It is known that, under certain regularity conditions, the stochastic logistic map, where the parameter is varied according to a specified distribution, has a unique invariant…
Mark Edelman
The regular logistic map was introduced in 1960s, served as an example of a complex system, and was used as an instrument to demonstrate and investigate the period doubling cascade of bifurcations scenario of transition to chaos. In this paper, we review various fractional generalizations of the logistic map and their…
Junxiu Liu, Zhewei Liang, Yuling Luo, Lvchen Cao + 3 more
'Yanhu Wang' 'Su Yang'] Recent research showed that the chaotic maps are considered as alternative methods for generating pseudo-random numbers, and various approaches have been proposed for the corresponding hardware implementations. In this work, an efficient hardware pseudo-random number generator (PRNG) is…
Shu-Rong Yan, Ardashir Mohammadzadeh, Ebrahim Ghaderpour
Chaos theory offers a new way to investigate variations in financial markets data that cannot be obtained with traditional methods. The primary approach for diagnosing chaos is the existence of positive small Lyapunov views. The positive Lyapunov index indicates the average instability and the system's chaotic nature.…
Valentina V. Tarasova, Vasily E. Tarasov
A generalization of the economic model of logistic growth, which takes into account the effects of memory and crises, is suggested. Memory effect means that the economic factors and parameters at any given time depend not only on their values at that time, but also on their values at previous times. For the…
Mohammed O. Al-Kaff, Hamdy A. El-Metwally, Abd-Elalim A. Elsadany, Elmetwally M. Elabbasy
'Elmetwally M. Elabbasy'] This research paper investigates discrete predator-prey dynamics with two logistic maps. The study extensively examines various aspects of the system’s behavior. Firstly, it thoroughly investigates the existence and stability of fixed points within the system. We explores the emergence of…
Mohammad Hematibahar, Nikolai Ivanovich Vatin, Hayder Abbas Ashour Alaraza, Aghil Khalilavi + 6 more
'Hayder Abbas Ashour Alaraza' 'Aghil Khalilavi' 'Makhmud Kharun' 'Marco Bonopera' 'Daniele Baraldi' 'Claudia Brito De Carvalho Bello' 'Wisena Perceka' 'Alessandro P. Fantilli'] In this research, the authors have developed an algorithm for predicting the compressive strength and compressive stress-strain curve of Basalt…
Li Xu, Guang Zhang, Haoyue Cui, Gui-Quan Sun
The logistic coupled map lattices (LCML) have been widely investigated as well as their pattern dynamics. The patterns formation may depend on not only fluctuations of system parameters, but variation of the initial conditions. However, the mathematical discussion is quite few for the effect of initial values so far.…
Arnab Ray
We demonstrate the effectiveness of the logistic function to model the evolution of two economic systems. The first is the GDP and trade growth of the USA, and the second is the revenue and human resource growth of IBM. Our modelling is based on the World Bank data in the case of the USA, and on the company data in the…
Anders Sandberg, Stuart Armstrong, Rebecca Gorman, Rei England
Sigmoids (AKA s-curves or logistic curves) are commonly used in a diverse spectrum of disciplines as models for time-varying phenomena showing initial acceleration followed by slowing: technology diffusion, cumulative cases of an epidemic, population growth towards a carrying capacity, etc. Existing work demonstrates…
Kamal Dingle, Mohammad Alaskandarani, Boumediene Hamzi, Ard A. Louis + 1 more
Arguments inspired by algorithmic information theory predict an inverse relation between the probability and complexity of output patterns in a wide range of input-output maps. This phenomenon is known as simplicity bias. By viewing the parameters of dynamical systems as inputs, and the resulting (digitised)…
Matthew J. Simpson, Jacob M. Ryan, James M. McGree, Ruth E. Baker
Model selection is becoming increasingly important in mathematical biology. Model selection often involves comparing a set of observations with predictions from a suite of continuum mathematical models and selecting the model that provides the best explanation of the data. In this work we consider the more challenging…
Yanguang Chen
The β index is one of important measurements reflecting development level of traffic networks. However, how to explain and predict the β index growth for a geographical region is a pending problem. With the help of mathematical reasoning and empirical analysis, this paper is devoted to modeling the growing curve of β…
Anhui Huang, Shizhong Xu, Xiaodong Cai
Background Complex binary traits are influenced by many factors including the main effects of many quantitative trait loci (QTLs), the epistatic effects involving more than one QTLs, environmental effects and the effects of gene-environment interactions. Although a number of QTL mapping methods for binary traits have…
Arnab Ray
The GDP growth of national economies is modelled by the logistic function. Applying it on the GDP data of the World Bank till the year 2020, we forecast the outcome of the competitive GDP growth of Japan, Germany, UK and India, all of whose current GDPs are very close to one another. Fulfilling one of the predictions…
Daisuke Yoneoka, Eiko Saito, Shinji Nakaoka
To optimally allocate health resources, policy planners require an indicator reflecting the inequality. Currently, health inequalities are frequently measured by area-based indices. However, methodologies for constructing the indices have been hampered by two difficulties: 1) incorporating the geographical relationship…
Zsolt Gyozo Török, Ágoston Török
To study geo-visualization processes a Cognitive Cartography Lab was established at Eötvös University, and the “Virtual Tourist” experiment was designed for the better understanding of actual map use during navigation. In this paper we present some preliminary results of the experiment. We explored the use of a static…
Peter D. Wilson
Niche models are now widely used in many branches of the biological sciences and are often used to contrast the distribution of favourable environments between regions or under changes in environmental conditions such as climate change. Evaluating model performance and selecting optimal models is now accepted as…
Max Zwiessele, Neil D Lawrence
We present an approach to estimating the nature of the Waddington (or epigenetic) landscape that underlies a population of individual cells. Through exploiting high resolution single cell transcription experiments we show that cells can be located on a landscape that reflects their differentiated nature. Our approach…
Tristan Baumann, Hanspeter A Mallot
The structure of the internal representation of surrounding space, the so-called cognitive map, has long been debated. A Euclidean metric map is the most straight-forward hypothesis, but human navigation has been shown to systematically deviate from the Euclidean ground truth. Vector navigation based on non-metric…
Evan Erickson, Jiaze Ma, Philip Tominac, Horacio Aguirre-Villegas + 1 more
Existing plastic recycling infrastructure largely relies on mechanical recycling technologies, which are capable of processing only a small subset of waste plastics. Emerging chemical technologies can “upcycle” plastic waste by producing high-value products (e.g., olefins that can be used to produce virgin-grade…