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Differential equations --- Bifurcatietheorie --- Bifurcation [Theorie de la ] --- Bifurcation theory --- Chaos in systems --- Chaotic behavior in systems --- Chaotic motion in systems --- Chaotisch gedrag in de systemen --- Comportement chaotique dans les systèmes --- Differentiaalvergelijkingen [Niet-lineaire ] --- Differential equations [Nonlinear ] --- Equations différentielles non-linéaires --- #TELE:SISTA --- Differential equations, Nonlinear. --- Bifurcation theory. --- Chaotic behavior in systems. --- Equations différentielles non linéaires --- Théorie de la bifurcation --- Chaos --- 517.97 --- 517.97 Calculus of variations. Mathematical theory of control --- Calculus of variations. Mathematical theory of control --- Equations différentielles non linéaires --- Théorie de la bifurcation --- Differential equations, Nonlinear --- Nonlinear differential equations --- Nonlinear theories --- Chaos theory --- Differentiable dynamical systems --- Dynamics --- System theory --- Stability --- Numerical solutions --- Équations différentielles --- Bifurcation, Théorie de la --- Differential equations. --- Bifurcation, Théorie de la --- Équations différentielles. --- Equations differentielles non lineaires
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By providing an introduction to nonlinear differential equations, Dr Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are treatments of the Poincaré-Bendixson theorem, the Hopf bifurcation and chaotic systems. The unique treatment that is found in this book will prove to be an essential guide to stability and chaos.
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Algebra --- Numerical analysis --- Mathematical physics --- Mathematics --- Mathematical models --- Algèbre --- Mathématiques --- Modèles mathématiques --- 510 --- Algebra. --- Mathematics. --- Mathematical models. --- Models, Mathematical --- Simulation methods --- Math --- Science --- Mathematical analysis --- Fundamental and general considerations of mathematics. Foundations, logic etc --- Fundamental and general considerations of mathematics. Foundations, logic etc. --- 510 Fundamental and general considerations of mathematics. Foundations, logic etc. --- Algèbre --- Mathématiques --- Modèles mathématiques --- Monograph
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This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical concepts that are introduced.
Dynamics. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Differential equations. --- Ergodic theory. --- Ordinary Differential Equations. --- Dynamical Systems and Ergodic Theory. --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- 517.91 Differential equations --- Differential equations
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This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more.Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics.Features nearly 200 entries organized thematically and written by an international team of distinguished contributorsPresents the major ideas and branches of applied mathematics in a clear and accessible wayExplains important mathematical concepts, methods, equations, and applicationsIntroduces the language of applied mathematics and the goals of applied mathematical researchGives a wide range of examples of mathematical modelingCovers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much moreExplores the connections between applied mathematics and other disciplinesIncludes suggestions for further reading, cross-references, and a comprehensive index
Algebra. --- Mathematics. --- Mathematical models. --- Models, Mathematical --- Simulation methods --- Math --- Science --- Mathematics --- Mathematical analysis
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