Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem

DOI10.1142/S0218127421300317zbMath1477.70019OpenAlexW3197752261MaRDI QIDQ4958589

Antonio García, Martha Alvarez-Ramírez, José Alejandro Zepeda Ramírez

Publication date: 14 September 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421300317

zbMATH Keywords

Lyapunov stabilityresonanceselliptic equilibriaequilateral four-body problem

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (2)

A Note on the Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem ⋮ Computer assisted proof of homoclinic chaos in the spatial equilateral restricted four-body problem

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