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nlin.CD2026
Jordan-Block Degeneracy and Cubic-Order Bifurcating Periodic Orbits in Minimum-Energy Optimal Control of Hamiltonian Equilibria
Mai Bando, Ayano Tsuruta, Shanshan Pan +1
Equilibria of the Hamiltonian system associated with Pontryagin's minimum principle exhibit an exact doubling of the natural spectrum and, under a simple pairing condition, a Jorda…
nlin.CD2026
Data-Driven Prediction of Chaotic Transition in Periapsis Poincaré Maps
Shanshan Pan, Taiki Urashi, Mai Bando +3
Chaotic trajectories in multi-body dynamical systems play a crucial role in designing low-energy trajectories in astrodynamics. However, predicting these trajectories is inherently…