Results 181 to 190 of about 77,468 (213)
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First integrals and Darboux polynomials of natural polynomial Hamiltonian systems
Physics Letters A, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García, Isaac A. +2 more
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Polynomial Hamiltonian systems with a nilpotent critical point
Advances in Space Research, 2010The study of Hamiltonian systems is important for space physics and astrophysics. In this paper, we study local behavior of an isolated nilpotent critical point for polynomial Hamiltonian systems. We prove that there are exact three cases: a center, a cusp or a saddle.
Maoan Han +3 more
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Polynomial entropies and integrable Hamiltonian systems
Regular and Chaotic Dynamics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON THE NUMBER OF LIMIT CYCLES IN NEAR-HAMILTONIAN POLYNOMIAL SYSTEMS
International Journal of Bifurcation and Chaos, 2007In this paper we study a general near-Hamiltonian polynomial system on the plane. We suppose the unperturbed system has a family of periodic orbits surrounding a center point and obtain some sufficient conditions to find the cyclicity of the perturbed system at the center or a periodic orbit.
Han, Maoan +2 more
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Darboux polynomials and first integrals of polynomial Hamiltonian systems
Communications in Nonlinear Science and Numerical Simulation, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrei Pranevich +2 more
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Polynomial approximation of Poincaré maps for hamiltonian systems
Earth, Moon, and Planets, 1996Different methods are proposed and tested for transforming a nonlinear differential system, and more particularly a hamiltonian one, into a map without having to integrate the whole orbit as in the well known Poincare map technique. We construct piecewise polynomial maps by coarse-graining the phase surface of section into parallelograms using values ...
Froeschlé, Claude, Lega, Elena
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On the Global Nilpotent Centers of Cubic Polynomial Hamiltonian Systems
Differential Equations and Dynamical Systems, 2022A global center for a vector field in the plane is a singular point p having R2 filled of periodic orbits with the exception of the singular point p. Polynomial differential systems of degree 2 have no global centers. In this paper we classify the global nilpotent centers of planar cubic polynomial Hamiltonian systems symmetric with respect to the y ...
Luis Barreira +2 more
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Symplectic maps for approximating polynomial Hamiltonian systems
Physical Review E, 2002We study how to approximate polynomial Hamiltonian systems by composition of symplectic maps. Recently, a number of methods preserving the symplectic character have appeared. However, they are not completely satisfactory because, in general, they are computationally expensive, very difficult to obtain or their accuracy is relatively low. The efficiency
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Polynomial entropies for Bott integrable Hamiltonian systems
Regular and Chaotic Dynamics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Labrousse, Clémence, Marco, Jean-Pierre
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Superintegrable Systems: Polynomial Algebras and Quasi-Exactly Solvable Hamiltonians
Annals of Physics, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vinet, L., Létourneau, P.
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