✦ LIBER ✦

Rapidly Forced Planar Vector Fields and Splitting of Separatrices

✍ Scribed by E. Fontich

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 811 KB
Volume: 119
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1995.1093

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that for analytic rapidly forced two dimensional systems the Melnikov function is exponentially small with respect to the period. We provide an example of non validity of Melnikov's method and we obtain upper bounds for conservative and analytic planar systems for big amplitude periodic rapidly forcing. 1995 Academic Press. Inc.

📜 SIMILAR VOLUMES

Topological Equivalence of Planar Vector

Topological Equivalence of Planar Vector Fields and Their Generalised Principal Part

✍ Vesna Županović 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 185 KB

Let X(R 2 ) be the space of C planar vector fields. We consider the space V/X(R 2 ) of vector fields with an isolated singularity and a fixed Newton diagram. We define the generalised principal part X 2 of the vector field X # V and give the nondegeneracy condition on X 2 , using the Newton diagram.

Force field studies of some XY3 planar m

Force field studies of some XY3 planar molecules and ions

✍ A. Jothi; G. Shanmugam 📂 Article 📅 2010 🏛 Wiley (John Wiley & Sons) ⚖ 244 KB 👁 2 views

Structural Stability of Planar Homogeneo

Structural Stability of Planar Homogeneous Polynomial Vector Fields: Applications to Critical Points and to Infinity

✍ Jaume Llibre; Jesús S. Pérez del Rı&#x0301;o; José Angel Rodrı&#x0301;gu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 660 KB

Let H m be the space of planar homogeneous polynomial vector fields of degree m endowed with the coefficient topology. We characterize the set 0 m of the vector fields of H m that are structurally stable with respect to perturbations in H m and we determine the exact number of the topological equiva

Infrared band intensities and the comple

Infrared band intensities and the complete quadratic force field for planar vibrations of gaseous benzene

✍ Minoru Akiyama 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 598 KB

Calculations of mean amplitudes of vibra

Calculations of mean amplitudes of vibration and Urey-Bradley force fields for planar XY3 molecules

✍ C.J. Peacock; A. Müller; R. Kebabcioglu 📂 Article 📅 1968 🏛 Elsevier Science 🌐 English ⚖ 356 KB

Force Fields for C&24XXXw;N-Substitu

Force Fields for C&24XXXw;N-Substituted Benzenes. II—Planar and Non-Planar Modes of the Three Isomeric Dicyanobenzenes

✍ D. N. Singh; J. S. Singh; R. A. Yadav 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 200 KB

Planar and non-planar force Ðeld calculations for o-, m-and p-dicyanobenzenes were carried out using published data on the parent molecule and one isotope in each case. General valence force Ðelds were determined using 61 (43 planar and 18 non-planar), 61 (43 planar and 18 non-planar) and 58 (41 pla