Results 1 to 10 of about 10,996,377 (201)

High-Order Melnikov Method for Time-Periodic Equations

Advanced Nonlinear Studies, 2017
This paper discusses a high-order Melnikov method for periodically perturbed equations. We introduce a new method to compute Mk⁢(t0){M_{k}(t_{0})} for all k≥0{k\geq 0}, among which M0⁢(t0){M_{0}(t_{0})} is the traditional Melnikov function, and M1⁢(t0 ...
Chen Fengjuan, Wang Qiudong
doaj   +6 more sources

Melnikov Method for a Class of Generalized Ziegler Pendulums

Mathematics
The Melnikov method is applied to a class of generalized Ziegler pendulums. We find an analytical form for the separatrix of the system in terms of Jacobian elliptic integrals, holding for a large class of initial conditions and parameters. By working in
Stefano Disca, Vincenzo Coscia
doaj   +5 more sources

A Melnikov Method for Homoclinic Orbits with Many Pulses [PDF]

Archive for Rational Mechanics and Analysis, 1998
The authors study the persistence of homoclinic orbits with many pulses for hyperbolic periodic orbits to a system being a perturbation of a four-dimensional integrable Hamiltonian system. The unperturbed system is supposed to have a one-parameter family of hyperbolic periodic orbits, such that stable and unstable manifolds of each periodic orbit ...
Kovačič, Gregor, Tin, Siu-Kei, Camassa, Roberto   +2 more
openaire   +5 more sources

Periodic solutions of a differential perturbed system via the averaging theory and the Melnikov method [PDF]

Journal of Innovative Applied Mathematics and Computational Sciences, 2023
In this paper, we will study the maximum number of limit cycles of a perturbed differential system with respect to its parameters which appear in the system specially on the degree of the polynomials.
Sana Karfes, Elbahi Hadidi
doaj   +2 more sources

Nonlinear behavior and energy harvesting performance of a new tunable quasi-zero stiffness system. [PDF]

Sci Rep
Energy harvesting from vibrations is a popular research topic. However, it is difficult to change the values of its dynamic stiffness characteristics during the operation of device.
Wang X, Kang X, Zhang A.
europepmc   +2 more sources

Melnikov’s method in String Theory [PDF]

Journal of High Energy Physics, 2016
37 pages, 5 ...
Asano, Yuhma, Kyono, Hideki, Yoshida, Kentaroh   +2 more
openaire   +2 more sources

The fate of the scientist as a reflection of the epoch: in memory of the first rector of the Kuban State Medical University Nikolai F. Melnikov-Razvedenkov

Инновационная медицина Кубани, 2020
The paper analyzes the life and professional journey of Nikolai F. Melnikov-Razvedenkov, an outstanding scientist, doctor, and professor, as a reflection of Russian history from the end of the 19th century till the first quarter of the 20th century.
S. N. Alekseenko, A. N. Redko, T. A. Kovelina, E. L. Nikulina, D. V. Veselova   +4 more
doaj   +1 more source

Chaotic motion of vibro-impact system based on Galerkin-Ivanov transformation

Xi'an Gongcheng Daxue xuebao, 2021
Based on the Galerkin-Ivanov transformation, the chaotic motion of a vibro-impact system was investigated. For a general vibro-impact system with one-side rigid, the equivalent smooth system with symmetric structure was obtained by Galerkin-Ivanov ...
Yuechao CHEN, Jinqian FENG, Xiaomin WANG
doaj   +1 more source

Higher order stroboscopic averaged functions: a general relationship with Melnikov functions

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In the research literature, one can find distinct notions for higher order averaged functions of regularly perturbed non-autonomous $T$-periodic differential equations of the kind $x'=\varepsilon F(t,x,\varepsilon)$.
Douglas Novaes
doaj   +1 more source

Beyond the Melnikov method II: Multidimensional setting [PDF]

Journal of Differential Equations, 2018
25 ...
Maciej J. Capiński, Piotr Zgliczyński
openaire   +3 more sources