On the constructive algorithm for stability analysis of an equilibrium point of a periodic Hamiltonian system with two degrees of freedom in the case of combinational resonance
DOI10.1134/S1560354719020011zbMath1430.37060OpenAlexW2937375169MaRDI QIDQ2330016
Evgeniya A. Chekina, Boris S. Bardin
Publication date: 18 October 2019
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354719020011
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nonlinear resonances for nonlinear problems in mechanics (70K30) Normal forms for nonlinear problems in mechanics (70K45) Symplectic and canonical mappings (37J11)
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Cites Work
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- On the stability of resonant rotation of a symmetric satellite in an elliptical orbit
- A Hamiltonian study of the stability and bifurcations for the satellite problem
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- On the stability of a nonautonomous Hamiltonian system under second-order resonance
- The restricted three-body problem: plane periodic orbits. Transl. from the Russian by Balint Erdi. With a preface by Victor G. Szebehely
- On the stability of planar oscillations and rotations of a satellite in a circular orbit
- Computation of the simplest normal forms with perturbation parameters based on Lie transform and rescaling
- Construction of Darboux coordinates and Poincaré-Birkhoff normal forms in noncanonical Hamiltonian systems
- Computation of the normal forms for general M-DOF systems using multiple time scales. I: Autonomous systems
- On the constructive algorithm for stability analysis of an equilibrium point of a periodic Hamiltonian system with two degrees of freedom in the second-order resonance case
- On the constructive algorithm for stability investigation of an equilibrium point of a periodic Hamiltonian system with two degrees of freedom in first-order resonance case
- Normal forms of maps: Formal and algebraic aspects
- Computation of the normal forms for general M-DOF systems using multiple time scales. II: Non-autonomous systems
- SYMBOLIC COMPUTATION OF NORMAL FORMS FOR RESONANT DOUBLE HOPF BIFURCATIONS USING A PERTURBATION TECHNIQUE
- Normal forms for symplectic maps of R2n
- On the stability of planar oscillations of a satellite-plate in the case of essential type resonance
- COMPUTATION OF SIMPLEST NORMAL FORMS OF DIFFERENTIAL EQUATIONS ASSOCIATED WITH A DOUBLE-ZERO EIGENVALUE
- Averaging methods in nonlinear dynamical systems
