Results 251 to 260 of about 131,499 (275)

First integrals and Darboux polynomials of natural polynomial Hamiltonian systems

Physics Letters A, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García, Isaac A., Grau, Maite, Llibre, Jaume   +2 more
openaire   +3 more sources

Polynomial and non-polynomial first integrals of projective structures and geodesic flows

Journal of Geometry and Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria V. Demina, Anna R. Ishchenko
openaire   +3 more sources

Darboux polynomials and first integrals of polynomial Hamiltonian systems

Communications in Nonlinear Science and Numerical Simulation, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrei Pranevich, Alexander Grin, Eduard Musafirov   +2 more
openaire   +1 more source

Polynomial first integrals for quasi-homogeneous polynomial differential systems

Nonlinearity, 2002
Here, several results concerning first integrals of homogeneous polynomial systems of differential equations are generalized to quasi-homogeneous polynomial systems. Properties of such systems are characterized in terms of the eigenvalues of the associated Kowalevskaya matrix.
Llibre, Jaume, Zhang, Xiang
openaire   +1 more source

Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors

Journal of Physics A: Mathematical and General, 2000
The authors show new first integrals to planar Lotka-Volterra systems that have a polynomial inverse integrating factor. These systems may be characterized by equalities among the coefficients of the system. Moreover, all planar Lotka-Volterra systems which have a polynomial first integral are characterized and an explicit expression of these first ...
Cairó, Laurent, Llibre, Jaume
openaire   +1 more source

First integrals via polynomial canonical transformations

Journal of Mathematical Physics, 1984
Maharatna, Dutt, and Chattarji [J. Math. Phys. 20, 2221 (1979)] discussed the use of time-dependent canonical transformations for the determination of first integrals for time-dependent Hamiltonian systems. One particular proposal that successive time-dependent polynomial canonical transformations will enable first integrals to be found for a wider ...
openaire   +2 more sources

3D polynomial dynamical systems with elementary first integrals

Journal of Physics A: Mathematical and Theoretical, 2010
Here we present a semi-algorithm to find elementary first integrals of 3D polynomial dynamical systems. It is a Darboux type procedure that extends the method built by Prelle and Singer for 2D systems. Although it cannot deal with the general case, the method presents a direct/simple way to find elementary first integrals.
L G S Duarte, L A C P da Mota
openaire   +1 more source

Darboux polynomials and rational first integrals of the nonstretching Rolie–Poly model

Applied Mathematics Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiankun Wu, Feng Xie
openaire   +2 more sources

Polynomial first integrals of Hamiltonian systems with exponential interaction

Functional Analysis and Its Applications, 1991
Consider a Hamiltonian of the form \[ H=T+V,\qquad T={1\over 2}\sum^ n_{i,j=1}a_{i,j}y_ iy_ j,\qquad V=\sum_{m\in Z^ n}v_ m\exp(m,x) \] where \((a_{i,j})\) is a nondegenerate constant matrix \(v_ m=\text{const}\), \(x=(x_ 1,\dots,x_ n)\) and \(y=(y_ 1,\dots,y_ n)\) are conjugate canonical variables.
openaire   +2 more sources