Loading...

Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane

Aghajani, A ; Sharif University of Technology | 2006

100 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.aml.2005.07.005
  3. Publisher: 2006
  4. Abstract:
  5. In this work we study the problem of whether all trajectories of the system ẋ=y-F(x) and ẏ=-g(x) cross the vertical isocline, which is very important for the existence of periodic solutions and oscillation theory. Sufficient conditions are given for all trajectories to cross the vertical isocline. © 2005 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Numerical methods ; Problem solving ; Trajectories ; Liénard system ; Periodic solution ; Oscillations
  8. Source: Applied Mathematics Letters ; Volume 19, Issue 5 , 2006 , Pages 491-497 ; 08939659 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0893965905002594