Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem
Gianni Arioli
Abstract
This paper concerns the restricted 3-body problem. By applying topological methods we give a computer assisted proof of the existence of some classes of periodic orbits, the existence of symbolic dynamics and we give a rigorous lower estimate for the topological entropy.
Create a lesson
Related papers
Physical and emergent nonpairwise interactions in oscillator networks: from higher-order phase reduction to coupling design
Riccardo Muolo, Hiroya Nakao, Christian Bick
Degree Growth of Iterates of Curves and Likely Intersections
Sina Saleh, Jit Wu Yap
Infinite prime sumsets in structured and Uk(Φ)-uniform sets
Felipe Hernández, Tristán Radić
Long-Lived Carpet-Like Transients in Time-Dependent Modular Discrete Laplacian Dynamics
Małgorzata Nowak-Kępczyk
SIPHy: Sparse identification of port-Hamiltonian systems from noisy data
Håkon Noren Myhr, Sølve Eidnes, J. Nathan Kutz
Extended dynamic mode decomposition with Fourier dictionaries: Error bounds and fast implementation
Felix Bartel, Sandra Ritter, Manuel Schaller et al.