Results 31 to 40 of about 22,008 (172)

Investigations on the Chaos in the Generalized Double Sine-Gordon Planar System: Melnikov’s Approach and Applications to Generating Antenna Factors

Mathematics
Many authors analyze the chaotic motion of the driven and damped double sine-Gordon equations and compute the Melnikov functions by numerical methods, taking an example to verify good agreement between numerical methods and analytical ones. Unfortunately,
Nikolay Kyurkchiev, Tsvetelin Zaevski, Anton Iliev   +2 more
doaj   +1 more source

Exponentially small asymptotic formulas for the length spectrum in some billiard tables [PDF]

, 2015
Let $q \ge 3$ be a period. There are at least two $(1,q)$-periodic trajectories inside any smooth strictly convex billiard table, and all of them have the same length when the table is an ellipse or a circle.
Martín, Pau, Ramírez-Ros, Rafael, Tamarit-Sariol, Anna   +2 more
core   +3 more sources

Exponential dichotomies, heteroclinic orbits, and Melnikov functions

Journal of Differential Equations, 1990
The authors consider an n-dimensional perturbed system (*) \(dz/dt=g(z)+h(t,z,\epsilon),\) where the perturbation term h(t,z,\(\epsilon\)) is bounded, \(\epsilon\) being a multidimensional parameter, and they give, using the method of Lyapunov-Schmidt, a sufficient condition for the existence of a bounded solution of (*) as the solvability condition of
Battelli, Flaviano, Lazzari, Claudio
openaire   +1 more source

Bifurcation curves of subharmonic solutions

, 2006
We revisit a problem considered by Chow and Hale on the existence of subharmonic solutions for perturbed systems. In the analytic setting, under more general (weaker) conditions, we prove their results on the existence of bifurcation curves from the ...
Broer H. W., Eliasson L. H., Gentile G., Guckenheimer J., GUIDO GENTILE, Iliev I. D., JONATHAN H. B. DEANE, Mel'nikov V. K., MICHELE V. BARTUCCELLI, Rhouma M. B. H., Rothos V., Zh. Guo Y., Zhang Zh. F.   +12 more
core   +2 more sources

Multidimensional Classical and Quantum Cosmology with Intersecting p-branes [PDF]

, 1997
Multidimensional cosmological model describing the evolution of n+1 Einstein spaces in the theory with several scalar fields and forms is considered. When a (electro-magnetic composite) p-brane Ansatz is adopted the field equations are reduced to the ...
Bronnikov K. A., Bronnikov K. A., Grebeniuk M. A., Ivashchuk V. D., Ivashchuk V. D., Krichever I. M., V. D. Ivashchuk, V. N. Melnikov   +7 more
core   +2 more sources

Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation

, 2011
In this paper we study the splitting of separatrices phenomenon which arises when one considers a Hamiltonian System of one degree of freedom with a fast periodic or quasiperiodic and meromorphic in the state variables perturbation.
Guardia, Marcel, Seara, Tere M.
core   +1 more source

Black-brane solution for A_3 algebra [PDF]

, 2002
Black p-brane solutions for a wide class of intersection rules and Ricci-flat ``internal'' spaces are considered. They are defined up to moduli functions H_s obeying non-linear differential equations with certain boundary conditions imposed.
Aref'eva, Aref'eva, Aref'eva, Bronnikov, Bronnikov, Cvetic, Fuchs, Grebeniuk, Ivashchuk, Ivashchuk, Ivashchuk, Ivashchuk, Ivashchuk, Ivashchuk, Ivashchuk, Ivashchuk, Ivashchuk, Khviengia, Lü, M.A. Grebeniuk, Ohta, V.D. Ivashchuk, V.N. Melnikov, Vafa   +23 more
core   +2 more sources

Nilpotence of orbits under monodromy and the length of Melnikov functions

Physica D: Nonlinear Phenomena, 2021
Let $F\in\mathbb{C}[x,y]$ be a polynomial, $\gamma(z)\in \pi_1(F^{-1}(z))$ a non-trivial cycle in a generic fiber of $F$ and let $\omega$ be a polynomial $1$-form, thus defining a polynomial deformation $dF+\epsilon\omega=0$ of the integrable foliation given by $F$.
Mardešić, Pavao, Novikov, Dmitry, Ortiz-Bobadilla, Laura, Pontigo-Herrera, Jessie   +3 more
openaire   +4 more sources

Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse [PDF]

, 2017
We study billiard dynamics inside an ellipse for which the axes lengths are changed periodically in time and an $O(\delta)$-small quartic polynomial deformation is added to the boundary.
Dettmann, Carl P., Fain, Vitaly, Turaev, Dmitry   +2 more
core   +3 more sources

Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis, Manuel Norman   +1 more
wiley   +1 more source