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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA614.7.SPR FCT 96201 (Browse shelf) | 1 | Available |
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QA614.5.SPR FCT 102528 Schubert calculus and its applications in combinatorics and representation theory | QA614.5.SPR FCT 103629 Advances in noncommutative geometry | QA614.7.SPR FCT 81007 Minimax systems and critical point theory | QA614.7.SPR FCT 96201 Critical point theory for Lagrangian systems | QA614.73.SPR FCT 81766 Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and Bi-Yang-Mills fields | QA614.8. FCT 95436 Dynamical systems, graphs, and algorithms | QA614.8. FCT 95923 Vector analysis versus vector calculus |
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Lagrangian systems constitute a very important and old class in dynamics. Their origin dates back to the end of the eighteenth century, with Joseph-Louis Lagrange’s reformulation of classical mechanics. The main feature of Lagrangian dynamics is its variational flavor: orbits are extremal points of an action functional. The development of critical point theory in the twentieth century provided a powerful machinery to investigate existence and multiplicity questions for orbits of Lagrangian systems. This monograph gives a modern account of the application of critical point theory, and more specifically Morse theory, to Lagrangian dynamics, with particular emphasis toward existence and multiplicity of periodic orbits of non-autonomous and time-periodic systems.
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