Publications

publications by categories in reversed chronological order. generated by jekyll-scholar.

Published Papers

2026

  1. Metric Lines in the Special Euclidean Group on the Plane
    Y. Wang, S. Ku, and Alejandro Bravo-Doddoli
    Involve, 2026
    DOI

2025

  1. Integrable Sub-Riemannian Geodesic Flow on the Orthogonal Group
    Alejandro Bravo-Doddoli, Philp Arathoon, and Anthony M. Bloch
    Nonlinearity, 2025
    DOI

2024

  1. Metric Lines in Jet Space
    Alejandro Bravo-Doddoli
    Analysis and Geometry in Metric Spaces, 2024
    DOI
  2. Symplectic Reduction of the Sub-Riemannian Geodesic Flow for Metabelian Nilpotent Groups
    Alejandro Bravo-Doddoli, Enrico Le Donne, and Nicola Paddeu
    Geometric Mechanics, 2024
    DOI

2023

  1. Chaotic Sub-Riemannian Geodesic Flow on J^2(\mathbbR^2,\mathbbR)
    Alejandro Bravo-Doddoli
    Regular and Chaotic Dynamics, 2023
    DOI
  2. No Periodic Geodesics in the Jet Space
    Alejandro Bravo-Doddoli
    Pacific Journal of Mathematics, 2023
    DOI

2022

  1. Geodesics in the Jet Space
    Alejandro Bravo-Doddoli and Richard Montgomery
    Regular and Chaotic Dynamics, 2022
    DOI
  2. Higher Elastica: Geodesics in Jet Space
    Alejandro Bravo-Doddoli
    European Journal of Mathematics, 2022
    DOI

2015

  1. The Dynamics of an Articulated n-Trailer Vehicle
    Alejandro Bravo-Doddoli and Luis C. García-Naranjo
    Regular and Chaotic Dynamics, 2015
    DOI

Accepted Papers

2026

  1. Metric Lines in Engel-Type Group
    Alejandro Bravo-Doddoli
    Journal of Dynamical and Control Systems, 2026
    In press
    arXiv

Preprints

2026

  1. The Integrability of a Knife-Edge Billiard in a Disk
    Alejandro Bravo-Doddoli, Huaidian Hou, William Clark, and Anthony M. Bloch
    Submitted to Arnold Mathematical Journal, 2026
    arXiv
  2. Optimal Synthesis on the Special Linear Group
    Marcus T. C. Lau and Alejandro Bravo-Doddoli
    Submitted to Differential Geometry and its Applications, 2026
    arXiv

2025

  1. Abelian Instances of Nonabelian Symplectic Reduction
    Alejandro Bravo-Doddoli, Luis C. García-Naranjo, and E. Rigato
    Submitted to Journal of Symplectic Geometry, 2025
    arXiv
  2. Metric Lines in the Space of Curves
    Daniella Catalá, Miriam Vollmayr-Lee, and Alejandro Bravo-Doddoli
    Submitted to Analysis and Geometry in Metric Spaces, 2025
    arXiv