{"product_id":"critical-point-theory-for-lagrangian-systems-von-marco-mazzucchelli","title":"Critical Point Theory for Lagrangian Systems","description":"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\nexistence 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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783034807821\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783034801621\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783034807821","offer_id":39419672526941,"sku":"9783034807821","price":53.49,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9783034801621","offer_id":40570977157213,"sku":"9783034801621","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/32e0cf5a-0f69-4adf-bfd9-27beb7b0446a.jpg?v=1779337185","url":"https:\/\/shop.autorenwelt.de\/en\/products\/critical-point-theory-for-lagrangian-systems-von-marco-mazzucchelli","provider":"Autorenwelt Shop","version":"1.0","type":"link"}