Universal localizing bounds for compact invariant sets of natural polynomial Hamiltonian systems
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Publication:644040
DOI10.1016/J.PHYSLETA.2008.07.073zbMath1225.70012OpenAlexW2051864916MaRDI QIDQ644040
Publication date: 2 November 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2008.07.073
Related Items (8)
ON A POLYTOPE CONTAINING ALL COMPACT INVARIANT SETS FOR A CLASS OF NATURAL POLYNOMIAL HAMILTONIAN SYSTEMS ⋮ Unbounded dynamics and compact invariant sets of one Hamiltonian system defined by the minimally coupled field ⋮ Periodic orbits and 10 cases of unbounded dynamics for one Hamiltonian system defined by the conformally coupled field ⋮ Compact invariant sets of the static spherically symmetric Einstein-Yang-Mills equations ⋮ Global dynamics of the Hastings-Powell system ⋮ On bounded and unbounded dynamics of the Hamiltonian system for unified scalar field cosmology ⋮ LOCALIZING BOUNDS FOR COMPACT INVARIANT SETS OF NONLINEAR SYSTEMS POSSESSING FIRST INTEGRALS WITH APPLICATIONS TO HAMILTONIAN SYSTEMS ⋮ On the Ultimate Dynamics of the Four-Dimensional Rössler System
Cites Work
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- Localization of periodic orbits of polynomial systems by ellipsoidal estimates
- Localization of compact invariant sets of the Lorenz system
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- Periodic trajectories near degenerate equilibria in the Hénon-Heiles and Yang-Mills Hamiltonian systems
- The search for a global maximum of a function of several variables in a set specified by constraints of the inequality type
- Analytical perturbative approach to periodic orbits in the homogeneous quartic oscillator potential
- BIFURCATIONS OF THE COMMON LEVEL SETS OF ATOMIC HYDROGEN IN VAN DER WAALS POTENTIAL
- ATTRACTORS IN CONSERVATIVE SYSTEMS
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