Bifurcation
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Recent papers in Bifurcation
The present study deals with the analysis of a Lotka-Volterra model describing competition between tumor and immune cells. The model consists of differential equations with piecewise constant arguments and based on metamodel constructed... more
In urban communities, infrastructures that support living are indispensable. There is increased interest in alternative ways of providing such support systems, including semi-autonomous infrastructures resulting from the self-organization... more
This paper analyses the nonlinear phenomena in current mode controlled buck-boost converter. The system undergoes various operating regions whenever there is a change in non linear elements presented in the system as well as in the loads.... more
A numerical study based on the nonlinear Schrödinger equation, as applied to nonlinear resonant standing waves excited directly by a wavemaker in a rectangular tank, is presented. The stationary solutions of the problem serve as a... more
Borodkin, Leonid. CHALLENGES OF INSTABILITY: THE CONCEPTS OF SYNERGETICS IN STUDYING THE HISTORICAL DEVELOPMENT OF RUSSIA The article discusses the big challenges of Russia’s historical development associated with the unstable nature of... more
CONTENTS FROM THE AUTHOR . . . 6 1. WORLDVIEWS BEFORE SYNERGETICS . . . 9 1.1. Worldview definition . . . 9 1.2. Worldviews in archaic and religious consciousness . . . 13 1.3. From religions to science: development of methodology . .... more
In this expository and resources chapter we review selected aspects of the mathematics of dynamical systems, stability, and chaos, within a historical framework that draws together two threads of its early development: celestial mechanics... more
The daily-case numbers of Covid-19 were studied and an oscillatory pattern in the numbers was identified. And this oscillatory nature has been present throughout the pandemic data. Although the US has had four waves of varying amplitude,... more
Depuis plus de vingt ans une branche de la sociologie pragmatique française, appelée pragmatique de la complexité ou pragmatique des transformations, s’attache à décrire et analyser les processus d’alertes et les controverses ou les... more
This paper investigates the dynamical behaviour of a duffing oscillator using bifurcation diagrams. There has been growing interest and challenges in engineering dynamics to characterize dynamical systems that are chaotic using... more
Mémoire de Master 2 soutenu à l'Université Paris V René Descartes, sous la direction de Madame Birgitta ORFALI. Le mémoire porte sur l'étude d'une forme particulière de l'action collective, celle de l'occupation des locaux universitaires.... more
This article surveys and synthesizes dynamic systems models of development from biology, neuroscience, and psychology in order to propose an integrated account of growth, learning, and behavior. Key to this account is the concept of... more
Physicists are very familiar with forced and parametric resonance, but usually not with self-oscillation, a property of certain dynamical systems that gives rise to a great variety of vibrations, both useful and destructive. In a... more
From his earliest work forward, Merleau-Ponty attempted to develop a new ontology of nature that would avoid the antinomies of realism and idealism by showing that nature has its own endogenous sense which is prior to reflection. The key... more
The ecological emergency can be described as a combination of four categories: climate change, degradation of biodiversity, increasing pollution and scarcity of natural resources. As a consequence of the industrial revolution, these... more
The Bogdanov-Takens (BT) bifurcation, which has attracted increasing attention in the past few decades, is encountered in the study of autonomous dynamical systems arising in different branches of science and engineering. The first part... more
HDR thesis (French habilitation to lead researches) in Applied Mathematics
In this paper we give sucient conditions for constructing Dulac functions of a sum of planar vector elds. We give some applications and examples in order to illustrate the results. Key words: Bendixson-Dulac criterion, Dulac... more
The paper focuses on the emerging demands for new states in India. In the process an effort has been made to find out the reasons that led to the rise of such demands. Among all the factors explored, the most significant has been the lack... more
Dopo alcuni richiami sulla stabilità degli archi, il problema viene specializzato a tre diversi sistemi, caratterizzati da differenti rapporti di ribassamento f/L. ciascuno di tali sistemi possiede lo stesso vincolo orizzontale cedevole,... more
This article presents a summary of applications of chaos and fractals in robotics. Firstly, basic concepts of determin‐ istic chaos and fractals are discussed. Then, fundamental tools of chaos theory used for identifying and quantifying... more