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Differential geometry. Global analysis --- Chaotic behavior in systems --- Differentiable dynamical systems --- Transport theory --- Chaos --- Dynamique différentiable --- Transport, Théorie du --- Differentiable dynamical systems. --- Transport theory. --- Chaotic behavior in systems. --- Chaos in systems --- Chaotic motion in systems --- Chaotisch gedrag in de systemen --- Comportement chaotique dans les systèmes --- Differential dynamical systems --- Théorie du transport --- Transporttheorie --- Dynamique différentiable --- Transport, Théorie du

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This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics. This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps. The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.

Differentiable dynamical systems --- Nonlinear theories --- Chaotic behavior in systems --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- 517.987 --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Dynamics --- System theory --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Differentiable dynamical systems. --- Nonlinear theories. --- Chaotic behavior in systems. --- Dynamique différentiable --- Théories non linéaires --- Chaos --- EPUB-LIV-FT SPRINGER-B --- Mathematics. --- Dynamics. --- Ergodic theory. --- Applied mathematics. --- Engineering mathematics. --- Statistical physics. --- Dynamical systems. --- Dynamical Systems and Ergodic Theory. --- Applications of Mathematics. --- Statistical Physics, Dynamical Systems and Complexity. --- Appl.Mathematics/Computational Methods of Engineering. --- Complex Systems. --- Mathematical and Computational Engineering. --- Statistical Physics and Dynamical Systems. --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Engineering --- Engineering analysis --- Ergodic transformations --- Continuous groups --- Measure theory --- Transformations (Mathematics) --- Statistical methods --- System theory. --- Mathematical physics. --- Dynamical Systems. --- Mathematical and Computational Engineering Applications. --- Theoretical, Mathematical and Computational Physics. --- Data processing.

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"Ordinary differential equations is a standard course in the undergraduate mathematics curriculum that usually comes after the first university calculus and linear algebra courses taken by a mathematics major. Such courses may also typically be attended by undergraduates from other areas of physical and social sciences, and engineering. The content of such a course has remained fairly static over time, despite the expansion of the topic into other disciplines as a result of the dynamical systems point of view. This core undergraduate course updated from the dynamical systems perspective can easily be covered in one semester, with room for projects or more advanced topics tailored to the interests of the students"--

Differential equations. --- Équations différentielles.

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This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms.

Differentiable dynamical systems --- Nonlinear theories --- Chaotic behavior in systems

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In this Festschrift dedicated to the 60th birthday of Gregory S. Ezra , selected researchers in theoretical chemistry present research highlights on major developments in the field. Originally published in the journal Theoretical Chemistry Accounts, these outstanding contributions are now available in a hardcover print format, as well as a special electronic edition. This volume provides valuable content for all researchers in theoretical chemistry, and will especially benefit those research groups and libraries with limited access to the journal.

Chemistry. --- Theoretical and Computational Chemistry. --- Atomic/Molecular Structure and Spectra. --- Physical Chemistry. --- Chemistry, Physical organic. --- Chimie --- Chemistry --- Physical Sciences & Mathematics --- Physical & Theoretical Chemistry --- Chemistry, Physical and theoretical. --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Physical chemistry. --- Atomic structure. --- Molecular structure. --- Spectra. --- Chemistry, Physical organic --- Chemistry, Organic --- Chemistry, Physical and theoretical --- Physical sciences --- Atomic structure  . --- Molecular structure . --- Structure, Molecular --- Chemical structure --- Structural bioinformatics --- Structure, Atomic --- Atomic theory