Results 1 to 10 of about 256,760 (248)

Domain walls in a non-linear S 2 $$ {\mathbb{S}}^2 $$ -sigma model with homogeneous quartic polynomial potential [PDF]

Journal of High Energy Physics, 2018
In this paper the domain wall solutions of a Ginzburg-Landau non-linear S 2 $$ {\mathbb{S}}^2 $$ -sigma hybrid model are exactly calculated. There exist two types of basic domain walls and two families of composite domain walls. The domain wall solutions
A. Alonso-Izquierdo, A. J. Balseyro Sebastián, M. A. González León   +2 more
doaj   +8 more sources

Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree − 3 [PDF]

Physica D: Nonlinear Phenomena, 2011
Agraïments: The third author is partially supported by FCT through CAMGDS, Lisbon. In this paper we study the polynomial integrability of natural Hamiltonian systems with two degrees of freedom having a homogeneous potential of degree k given either by a polynomial, or by an inverse of a polynomial. For k = −2, −1, . . .
J. Llibre, Adam Mahdi, C. Valls
semanticscholar   +8 more sources

Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree −2 [PDF]

Physics Letters A, 2011
Agraïments: The third author is partially supported by FCT through CAMGDS, Lisbon. We characterize the analytic integrability of Hamiltonian systems with Hamiltonian H = 1/ 2 2∑ i=1 p 2 i + V (q1, q2), having homogeneous potential V (q1, q2) of degree −2.
J. Llibre, Adam Mahdi, C. Valls
semanticscholar   +9 more sources

Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4 [PDF]

Journal of Mathematical Physics, 2011
In the analytic case we prove the conjecture of Maciejewski and Przybylska [J. Math. Phys. 46(6), 062901 (2005)] regarding Hamiltonian systems with a homogeneous polynomial potential of degree 4. The proof of the conjecture completes the characterization of all the analytic integrable Hamiltonian system with a homogeneous polynomial potential of degree
J. Llibre, Adam Mahdi, C. Valls
semanticscholar   +7 more sources

Finiteness of integrable $n$-dimensional homogeneous polynomial potentials [PDF]

Physics Letters A, 2007
We consider natural Hamiltonian systems of $n>1$ degrees of freedom with polynomial homogeneous potentials of degree $k$. We show that under a genericity assumption, for a fixed $k$, at most only a finite number of such systems is integrable.
Ablowitz, Ablowitz, Furta, Goriely, Grammaticos, Grammaticos, Guillot, Hietarinta, Hietarinta, Iwasaki, Kowalevski, Kowalevski, Kozlov, Lakshmanan, Lyapunov, Maciejewski, Maciejewski, Maciejewski, Maria Przybylska, Morales-Ruiz, Morales-Ruiz, Morales-Ruiz, Nakagawa, Nowicki, Painlevé, Ramani, Ramani, van der Put, Whittaker, Yoshida, Yoshida, Ziglin, Ziglin   +32 more
core   +3 more sources

A list of all integrable 2D homogeneous polynomial potentials with a polynomial integral of order at most 4 in the momenta [PDF]

Journal of Physics A: Mathematical and General, 2001
We searched integrable 2D homogeneous polynomial potential with a polynomial first integral by using the so-called direct method of searching for first integrals.
Arnold V I, Baider A, Churchill R C, Dorizzi B, Grammaticos B, Haruo Yoshida, Hietarinta J, Katsuya Nakagawa, Kruskal M D, Kruskal M D, Morales-Ruiz J J, Morales-Ruiz J J, Morales-Ruiz J J, Morales-Ruiz J J, van der Waerden B L, Wolfram S, Ziglin S L, Ziglin S L   +17 more
core   +4 more sources

Polynomial integrability of Hamiltonian systems with homogeneous potentials of degree −k

Physics Letters A, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Regilene D. S. Oliveira, C. Valls
semanticscholar   +3 more sources

Simplification of the rolling contact-related lifetime calculation of profiled rail guides with a polynomial regression

Journal of Machine Engineering
The calculation of the lifespan of profile rail guides is an essential part in the design process of machines. Conventional lifespan models yield good results when calculating lifespan values under a homogeneous distribution of individual rolling contact
Danny Staroszyk, Müller Jens, Ihlenfeldt Steffen   +2 more
doaj   +2 more sources

On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax4 + cx2y2

Journal of Dynamics and Differential Equations, 2009
The authors consider a planar mechanical system \(\ddot{q} =\nabla V(q)\), \(q = (x, y) \in \mathbb R^{2}\), where the potential \(V\) is a homogeneous polynomial of degree four in two variables, \(V(x, y) = ax^{4} + cx^{2}y^{2}\), \(a, c\in \mathbb R\). The associated Hamiltonian system is \(\dot{x} = p_1\), \(\dot{y}=p_2\), with \(\dot{p_1} = 2x[2ax^{
M. Falconi, E. Lacomba, C. Vidal
semanticscholar   +4 more sources

Local Integral Equations and two Meshless Polynomial Interpolations with Application to Potential Problems in Non-homogeneous Media

Computer Modeling in Engineering & Sciences, 2005
An efficient numerical method is proposed for 2-d potential problems in anisotropic media with continuously variable material coefficients. The method is based on the local integral equations (utilizing a fundamental solution) and meshfree approximation of field variable.
V. Sládek, J. Sládek, M. Tanaka
semanticscholar   +2 more sources