Results 21 to 30 of about 308 (136)
Dynamic behavior of a weightless rod with a point mass sliding along the rod axis according to periodic law is studied. This is the simplest model of child's swing.
Belyakov, Anton O. +1 more
core +2 more sources
Many authors analyze the prediction of chaos in a Josephson junction with quadratic damping by the Melnikov technique. Due to the lack of an explicit presentation of the Melnikov integral, the researchers apply numerical methods and illustrative examples
Nikolay Kyurkchiev +4 more
doaj +1 more source
High-Order Melnikov Method for Time-Periodic Equations
Abstract This paper discusses a high-order Melnikov method for periodically perturbed equations. We introduce a new method to compute M k
Chen Fengjuan, Wang Qiudong
openaire +3 more sources
A Melnikov Method for Homoclinic Orbits with Many Pulses [PDF]
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 +2 more
openaire +3 more sources
On the existence of chaotic circumferential waves in spinning disks
We use a third-order perturbation theory and Melnikov's method to prove the existence of chaos in spinning circular disks subject to a lateral point load.
Arzhang Angoshtari +3 more
core +1 more source
Research in Basic Sciences: Results of some math and physics projects [PDF]
Desde nuestra Facultad se presentan trabajos resultados de investigación que le aportan ignificativamente a las aplicaciones de las ciencias básicas y que son el resultado del compromiso y la dedicación de nuestros docentes investigadores, quienes ...
Cortés Zapata, Daniel +4 more
core +1 more source
Reshaping-induced spatiotemporal chaos in driven, damped sine-Gordon systems
Spatiotemporal chaos arising from the competition between sine-Gordon-breather and kink-antikink-pair solitons by reshaping an ac force is demonstrated.
Ariyasu +16 more
core +1 more source
Exponentially small splittings of separatrices with applications to KAM theory and degenerate bifurcations [PDF]
Both upper and lower estimates are establishedfor the separatrix splitting of rapidly forced systems with a homoclinic orbit. The general theory is applied to the equation φ + sin φ =S sin(^t-_Є) for illustration. There are two types of results.
Jerrold Marsden +2 more
core +1 more source
Lectotypifications and taxonomic changes in the holoparasitic Orobanchaceae
Based on further extensive studies of specimens in various herbaria, lectotypes are designated for many taxa of holoparasitic Orobanchaceae. In particular, 47 names in the genera Boschniakia (incl. Xylanche), Cistanche, Orobanche, Phelipanche and Phelypaea are lectotypified.
Holger Uhlich +5 more
wiley +1 more source
We studied oviposition site selection in a leaf‐mining moth (Stigmella sorbi) on rowan trees (Sorbus aucuparia) in northwestern Russia, assessing larval performance across different shoot types, leaf positions, and leaflets. Larval survival was highest on long vegetative shoots, yet females showed no preference for these optimal sites.
Mikhail V. Kozlov, Vitali Zverev
wiley +1 more source

