{"product_id":"dynamical-systems-and-geometric-mechanics-an-introduction-9783110597295","title":"Dynamical Systems and Geometric Mechanics: An Introduction","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIntroduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order ordinary differential equations in Euclidean space, whereas geometric mechanics explore similar systems that instead evolve on differentiable manifolds. \u003c\/p\u003e \u003cp\u003eThe first part discusses the linearization and stability of trajectories and fixed points, invariant manifold theory, periodic orbits, Poincaré maps, Floquet theory, the Poincaré-Bendixson theorem, bifurcations, and chaos. The second part of the book begins with a self-contained chapter on differential geometry that introduces notions of manifolds, mappings, vector fields, the Jacobi-Lie bracket, and differential forms. \u003c\/p\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":53516581110103,"sku":"9783110597295","price":103.55,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/dynamical-systems-and-geometric-mechanics-an-introduction-9783110597295","provider":"Book Curl","version":"1.0","type":"link"}