{"title":"On systems governed by two alternating vector fields","authors":"A. Klíc, J. Řeháček","doi":"10.21136/am.1994.134243","DOIUrl":null,"url":null,"abstract":"We i n vestigate t h e n o n auto n omous periodic system of ODE's of t h e fo r m x = v(x) + r p (t)(w(x) — v(x))> w h e r e r p (t) is a 2p-pe r iodic functi o n defi n ed by r P (t) = 0 fo r t 6 (0, p ), r p (t) = 1 fo r t G (p, 2 p ) a n d t h e vecto r fields v a n d w a r e re l ated by a n i n vo l utive diffeomo r p h ism.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"34 1","pages":"57-64"},"PeriodicalIF":0.6000,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applications of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.21136/am.1994.134243","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
We i n vestigate t h e n o n auto n omous periodic system of ODE's of t h e fo r m x = v(x) + r p (t)(w(x) — v(x))> w h e r e r p (t) is a 2p-pe r iodic functi o n defi n ed by r P (t) = 0 fo r t 6 (0, p ), r p (t) = 1 fo r t G (p, 2 p ) a n d t h e vecto r fields v a n d w a r e re l ated by a n i n vo l utive diffeomo r p h ism.
期刊介绍：
Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering.
The main topics covered include:
- Mechanics of Solids;
- Fluid Mechanics;
- Electrical Engineering;
- Solutions of Differential and Integral Equations;
- Mathematical Physics;
- Optimization;
- Probability
Mathematical Statistics.
The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.
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