A generalized third-order autonomous Duffing–Holmes system is proposed and deeply investigated. The proposed system is obtained by adding a parametric quadratic term m x 2 to the cubic nonlinear term − x 3 of an existing third-order autonomous Duffing–Holmes system. This modification allows the system to feature smoothly adjustable nonlinearity, symmetry, and nontrivial equilibria. A particular attention is given to the effects of symmetric and asymmetric nonlinearity on the dynamics of the system. For the specific case of m = 0, (...) the system is symmetric and interesting phenomena are observed, namely, coexistence of symmetric bifurcations, presence of parallel branches, and the coexistence of four and six symmetric attractors. For m ≠ 0, the system loses its symmetry. This favors the emergence of other behaviors, such as the coexistence of asymmetric bifurcations, involving the coexistence of several asymmetric attractors. All these phenomena have been numerically highlighted using nonlinear dynamic tools and an analog computer of the system. In fact, PSpice simulations of the latter confirm numerical results. Moreover, amplitude control and synchronization strategies are also provided in order to promote the exploitation of the proposed system in engineering. (shrink)

We apply Benacerraf’s distinction between mathematical ontology and mathematical practice to examine contrasting interpretations of infinitesimal mathematics of the seventeenth and eighteenth century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass’s ghost behind some of the received historiography on Euler’s infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a “primary point of reference for understanding the eighteenth-century theories.” Meanwhile, scholars like (...) Bos and Laugwitz seek to explore Eulerian methodology, practice, and procedures in a way more faithful to Euler’s own. Euler’s use of infinite integers and the associated infinite products are analyzed in the context of his infinite product decomposition for the sine function. Euler’s principle of cancellation is compared to the Leibnizian transcendental law of homogeneity. The Leibnizian law of continuity similarly finds echoes in Euler. We argue that Ferraro’s assumption that Euler worked with a classical notion of quantity is symptomatic of a post-Weierstrassian placement of Euler in the Archimedean track for the development of analysis, as well as a blurring of the distinction between the dual tracks noted by Bos. Interpreting Euler in an Archimedean conceptual framework obscures important aspects of Euler’s work. Such a framework is profitably replaced by a syntactically more versatile modern infinitesimal framework that provides better proxies for his inferential moves. (shrink)

Traite des rapports entre force et raison au sein des démocraties. Deux conférences de J. Derrida se font écho pour interroger le concept de souveraineté de l'Etat.

Professor Dreze is a highly respected mathematical economist and econometrician. This book brings together some of his major contributions to the economic theory of decision making under uncertainty, and also several essays. These include an important essay on 'Decision theory under moral hazard and state dependent preferences' that significantly extends modern theory, and which provides rigorous foundations for subsequent chapters. Topics covered within the theory include decision theory, market allocation and prices, consumer decisions, theory of the firm, labour contracts, and (...) public decisions. (shrink)

The Political Illusion, examines modern man's passion--political affairs--and the role he plays in them and in the modern state.

Psycho-physical origins.-- Spatial nothingness.-- The origin of space.-- Moral facts and origins.-- Psycho-physical relationship.-- Morality and moral ideals.-- The economic solution.-- Principles of psychotherapy.

Réflexion sur la philosophie et les lettres qui tente de répondre à la question : qu'est-ce que penser pour un homme dont l'expérience vécue est la source de l'écriture?

Twelve essays exploring aspects of literacy and art criticism, retrospective sociology and the effects of relativism on moral behavior.

Censures au XVIIIe siecle, les ecrivains-philosophes des Lumieres demeurent controverses ou singes de nos jours. Cette etude privilegie leurs idees-forces sans negliger les porte-parole. Celebres (Bayle, Montesquieu, Voltaire, Rousseau, Diderot, Helvetius, d'Holbach...) ou reconnus (d'Argens, Mably, Mirabeau, d'Alembert, Volney, Mme de Stael...) ils n'enferment point leur oeuvre dans le moule d'une pensee unique. Ne parlant jamais d'une seule voix, tous associent l'invention de la liberte et l'idee neuve de bonheur. La Mettrie, materialiste medecin des ames, ecrit en precurseur de Freud. (...) Immoraliste visionnaire, Sade anticipe les derives d'une philosophie deshumanisee. Les debats seculaires avec les apologistes (Abbadie, Barruel, Bergier, Gerard, Holland, Vernes...) elaborent les fondements universels d'une morale non confessionnelle. Du refus des dogmes et de tout esprit de systeme nait une ethique transcendant les revelations. (shrink)

Femmes, quel titre eût été plus juste et plus résonnant? Prononcée en 1972, cette conférence fut en effet scandée ou jouée par telles propositions : "la femme sera mon sujet", "il n'y a pas d'être ou d'essence de la femme ou de la différence sexuelle", "la femme n'aura donc pas été mon sujet"... Pour "déchiffrer cette inscription de la femme" l'écriture ne doit plus recevoir ses ordres de la philosophie ou de la littérature.

At head of title: The Johns Hopkins University. Institute for the Study of Law.