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Dynamische Systeme sind durch die Angabe des Zeitverlaufs ihrer Zustandsvariablen vollständig beschreibbar. Diese Form ist jedoch für eine mathematische Bearbeitung ungeeignet. Die Datenmenge reduziert sich um ein vielfaches und eine mathematische Behandlung wird ermöglicht, wenn zur Beschreibung der dynamischen Systeme charakteristische Größen herangezogen werden.In dieser Arbeit werden mit der phänomenologischen Herangehensweise durch eine Untersuchung der Verteilungsdichten die Bifurkationen in stochastischen dynamischen Systemen beschrieben.

Lineares dynamisches System --- Radsatz --- Fokker-Planck-Gleichung --- Stochastisches dynamisches System --- Nichtlineares dynamisches System --- Querdynamik

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Control theory --- Automatic control --- System analysis --- Théorie de la commande --- Commande automatique --- Analyse de systèmes --- Automatic control. --- Control theory. --- System analysis. --- Dynamisches System --- Kontrolltheorie --- Dynamisches System. --- Kontrolltheorie.

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Although now replaced by more modern theories, classical mechanics remains a core foundational element of physical theory. From its inception, the theory of dynamics has been riddled with conceptual issues and differing philosophical interpretations and throughout its long historical development, it has shown subtle conceptual refinement. The interpretive program for the theory has also shown deep evolutionary change over time. Lawrence Sklar discusses crucial issues in the central theory from which contemporary foundational theories are derived and shows how some core issues (the nature of force, the place of absolute reference frames) have nevertheless remained deep puzzles despite the increasingly sophisticated understanding of the theory which has been acquired over time. His book will be of great interest to philosophers of science, philosophers in general and physicists concerned with foundational interpretive issues in their field.

Dynamics. --- Science --- Mechanik. --- Dynamisches System. --- Philosophie. --- Philosophy. --- Philosophy & Social Aspects. --- Dynamics --- Philosophy --- Normal science --- Philosophy of science --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Arts and Humanities --- Science - Philosophy --- Dynamique --- Philosophie des sciences

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In this book, the authors present the elements of a general theory for flows on three-dimensional compact boundaryless manifolds, encompassing flows with equilibria accumulated by regular orbits. The book aims to provide a global perspective of this theory and make it easier for the reader to digest the growing literature on this subject. This is not the first book on the subject of dynamical systems, but there are distinct aspects which together make this book unique. Firstly, this book treats mostly continuous time dynamical systems, instead of its discrete counterpart, exhaustively treated in some other texts. Secondly, this book treats all the subjects from a mathematical perspective with proofs of most of the results included. Thirdly, this book is meant to be an advanced graduate textbook and not just a reference book or monograph on the subject. This aspect is reflected in the way the cover material is presented, with careful and complete proofs, and precise references to topics in the book.

Dynamisches system. --- Flows (Differentiable dynamical systems). --- Mathematics. --- Flows (Differentiable dynamical systems) --- Calculus --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Dynamics. --- Ergodic theory. --- Differential equations. --- Physics. --- Dynamical Systems and Ergodic Theory. --- Ordinary Differential Equations. --- Theoretical, Mathematical and Computational Physics. --- Differentiable dynamical systems --- Differentiable dynamical systems. --- Differential Equations. --- 517.91 Differential equations --- Differential equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- Mathematical physics. --- Physical mathematics --- Physics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics