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This book is devoted to unstable solutions of stochastic differential equations (SDEs).
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In the face of growing challenges, we need modes of thinking that allow us to not only grasp complexity but also perform it. The author presents a new framework for operationalising complex thinking in a set of dimensions and properties through which it may be enacted.
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Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.
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This book treats essentials from neurophysiology (Hodgkin–Huxley equations, synaptic transmission, prototype networks of neurons) and related mathematical concepts (dimensionality reductions, equilibria, bifurcations, limit cycles and phase plane analysis).
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In the new edition of this classic textbook Edward Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos.
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This book concerns the use of concepts from statistical physics in the description of financial systems. These concepts are applied to... Læs mere
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Featuring a unified framework to derive different grid-based nonlinear estimation algorithms from a numerical integration perspective, this book discusses the fundamental concepts of many widely used nonlinear estimation techniques.
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In this Very Short Introduction, John Holland presents an introduction to the science of complexity. Using examples from biology and economics, he shows how complexity science models the behaviour of complex systems.
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This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics. This book contains a broad selection of topics and explores the fundamental ideas of the subject.
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This text is for graduate or advanced undergraduate statistical thermodynamics courses in mechanical or aerospace engineering. It covers the... Læs mere
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Flows of complex fluids and other soft materials are ubiquitous in nature and technology, from blood flow to advanced manufacturing. Understanding... Læs mere