Titlebook: New Frontiers of Celestial Mechanics: Theory and Applications; I-CELMECH Training S Giulio Baù,Sara Di Ruzza,Marco Sansottera Conference pr

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Christos Efthymiopoulos,Rocío Isabel Paezon the global convex hull of all robots’ positions moves with full speed towards the inside of the convex hull. We prove a runtime bound of . for . three-dimensional contracting strategy, where . denotes the diameter of the initial configuration. This comes up to a factor of . close to the lower bou

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,KAM Theory for Some Dissipative Systems,help to highlight the differences between the symplectic and conformally symplectic dynamics. For such dissipative systems we will present a KAM theorem in an a-posteriori format, originally developed in [.] for the symplectic case: assume we start with an approximate solution satisfying a suitable

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Arnold Diffusion and Nekhoroshev Theory,methods based on canonical perturbation theory, i.e. by the construction of a suitable normal form at optimal order. As an example of such methods, we discuss the (quasi-)stationary-phase approximation for the selection of remainder terms acting as driving terms for the diffusion. Finally, we discus

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