Simultaneously Resolved Bifurcation Diagrams: A Novel Global Approach Applied to Liquid Figures of Equilibrium

Significant damage to surface water is caused by cattle husbandry. Only one global approach of water management and farming techniques (breeding management and cultivation methods) will ensure significant results. A pilot study run in the west of France proved that water quality can easily be improved by renovating the cattle buildings. It also showed that manure used as a fertilizer covers cultivation needs, which allows substantial savings for the farmers.

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Problem Orientation

The Oxford Handbook of Global Studies ◽

10.1093/oxfordhb/9780190630577.013.3 ◽

2018 ◽

pp. 138-156

Author(s):

Paul Battersby

Keyword(s):

Complex Problem ◽

Dynamic Mode ◽

Global Approach ◽

Complex Dynamic ◽

Problem Space ◽

Thick Description ◽

Global Response ◽

Problem Orientation ◽

New Knowledge ◽

Creative Problem

Globalization is complex, dynamic, and unpredictable. A commensurably dynamic mode of analysis is thus required for the necessary task of comprehending globalization’s intricacies and consequences. Adopting a creative, problem-based technique, this chapter develops a global approach to problem orientation. Irregular migration is the topic focus used to map out how a complex problem space can be constructed and how notions of complexity can be imaginatively applied to explore avenues for global response. A global problem orientation accepts that new knowledge can form at the interstices of different systems or schools of thought. The creative–imaginative technique discussed in this chapter encourages the use of divergent models or paradigms in tandem to enable thick description and deep analysis of complex problem spaces.

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Modification of the Logistic Map Using Fuzzy Numbers with Application to Pseudorandom Number Generation and Image Encryption

Entropy ◽

10.3390/e22040474 ◽

2020 ◽

Vol 22 (4) ◽

pp. 474 ◽

Cited By ~ 5

Author(s):

Lazaros Moysis ◽

Christos Volos ◽

Sajad Jafari ◽

Jesus M. Munoz-Pacheco ◽

Jacques Kengne ◽

...

Keyword(s):

Lyapunov Exponent ◽

Image Encryption ◽

Fuzzy Numbers ◽

Statistical Tests ◽

Logistic Map ◽

Simple Rule ◽

Pseudorandom Number ◽

Bifurcation Diagrams ◽

Triangular Numbers ◽

Pseudorandom Number Generation

A modification of the classic logistic map is proposed, using fuzzy triangular numbers. The resulting map is analysed through its Lyapunov exponent (LE) and bifurcation diagrams. It shows higher complexity compared to the classic logistic map and showcases phenomena, like antimonotonicity and crisis. The map is then applied to the problem of pseudo random bit generation, using a simple rule to generate the bit sequence. The resulting random bit generator (RBG) successfully passes the National Institute of Standards and Technology (NIST) statistical tests, and it is then successfully applied to the problem of image encryption.

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Computational Analysis of Ca2+ Oscillatory Bio-Signals: Two-Parameter Bifurcation Diagrams

Entropy ◽

10.3390/e23070876 ◽

2021 ◽

Vol 23 (7) ◽

pp. 876

Author(s):

Wieslaw Marszalek ◽

Jan Sadecki ◽

Maciej Walczak

Keyword(s):

Equilibrium Points ◽

Autonomous Systems ◽

Cytosolic Calcium ◽

Calcium Oscillations ◽

Dynamical Model ◽

Bifurcation Diagrams ◽

Step Size ◽

Oscillatory Systems ◽

Two Parameter ◽

Parameter Bifurcation

Two types of bifurcation diagrams of cytosolic calcium nonlinear oscillatory systems are presented in rectangular areas determined by two slowly varying parameters. Verification of the periodic dynamics in the two-parameter areas requires solving the underlying model a few hundred thousand or a few million times, depending on the assumed resolution of the desired diagrams (color bifurcation figures). One type of diagram shows period-n oscillations, that is, periodic oscillations having n maximum values in one period. The second type of diagram shows frequency distributions in the rectangular areas. Each of those types of diagrams gives different information regarding the analyzed autonomous systems and they complement each other. In some parts of the considered rectangular areas, the analyzed systems may exhibit non-periodic steady-state solutions, i.e., constant (equilibrium points), oscillatory chaotic or unstable solutions. The identification process distinguishes the later types from the former one (periodic). Our bifurcation diagrams complement other possible two-parameter diagrams one may create for the same autonomous systems, for example, the diagrams of Lyapunov exponents, Ls diagrams for mixed-mode oscillations or the 0–1 test for chaos and sample entropy diagrams. Computing our two-parameter bifurcation diagrams in practice and determining the areas of periodicity is based on using an appropriate numerical solver of the underlying mathematical model (system of differential equations) with an adaptive (or constant) step-size of integration, using parallel computations. The case presented in this paper is illustrated by the diagrams for an autonomous dynamical model for cytosolic calcium oscillations, an interesting nonlinear model with three dynamical variables, sixteen parameters and various nonlinear terms of polynomial and rational types. The identified frequency of oscillations may increase or decrease a few hundred times within the assumed range of parameters, which is a rather unusual property. Such a dynamical model of cytosolic calcium oscillations, with mitochondria included, is an important model in which control of the basic functions of cells is achieved through the Ca2+ signal regulation.

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Comparative Study of Burnout in Professional Caregivers of Institutionalized Elderly with Dementia and other Diseases

European Journal of Investigation in Health, Psychology and Education ◽

10.3390/ejihpe1020005 ◽

2011 ◽

Vol 1 (2) ◽

pp. 61-70

Author(s):

Inmaculada Méndez ◽

Esther Secanilla ◽

Juan P. Martínez ◽

Josefa Navarro

Keyword(s):

Quality Of Life ◽

Ad Hoc ◽

Maslach Burnout Inventory ◽

Well Being ◽

Measuring Instruments ◽

Global Approach ◽

People With Dementia ◽

Quality Of Patient Care ◽

Psychoeducational Programs

In a global approach about the need of paying attention to staff working with and for older people with dementia and other diseases in residential care, it is necessary to investigate their emotional well-being to provide strategies to improve their quality of life and therefore their quality of patient care. Professional caregivers of people with dementia and other diseases have specific psycho-sociological problems. They are more prone to stress which can sometimes lead to the “burnout” due to specific functions in the workplace. To define the sample was decided to compare two residential centers of two regions, Murcia and Barcelona. We proceeded to the administration of the following measuring instruments: the scale Maslach Burnout Inventory (MBI) and an ad hoc survey conducted for professional caregivers. Finally, the results offer the possibility of carrying out programs to prevent emotional exhaustion in professional carers, as well as the possibility of designing psychoeducational programs for staff care and even future proactive and reactive interventions.

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