Periodic orbits and their bifurcations in a 3-D system

DOI10.1007/BF00692876zbMath0812.58063MaRDI QIDQ1341870

V. Pereyra

Publication date: 16 May 1995

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

stabilityperiodic orbitsHamiltonianbifurcationsnonuniqueness

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Hamilton's equations (70H05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Motion close to the Hopf bifurcation of the vertical family of periodic orbits of \(L_{4}\)

Cites Work

• New aspects in the theory of stability of Hamiltonian systems
• Simple three-dimensional periodic orbits in a galactic-type potential
• Bifurcations in systems of three degrees of freedom
• Nonuniqueness of families of periodic solutions in a four dimensional mapping
• The stability of periodic orbits in the three-body problem

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