Orthogonal trajectories and analytical solutions of the van der Pol equation without forcing
UNSPECIFIED. (1998) Orthogonal trajectories and analytical solutions of the van der Pol equation without forcing. PHYSICS LETTERS A, 239 (1-2). pp. 65-71. ISSN 0375-9601Full text not available from this repository.
The autonomous van der Pol (vdP) equation has been reduced via standard methods to its first-order form and the corresponding equation for orthogonal trajectories, which is of Riccati type, has been solved by converting it to a second-order equation. The small time and asymptotic limits of this equation have been investigated. The explicit form of the orthogonal trajectories has been utilized to find implicit solutions of the vdP equation. (C) 1998 Elsevier Science B.V.
|Item Type:||Journal Article|
|Subjects:||Q Science > QC Physics|
|Journal or Publication Title:||PHYSICS LETTERS A|
|Publisher:||ELSEVIER SCIENCE BV|
|Official Date:||23 February 1998|
|Number of Pages:||7|
|Page Range:||pp. 65-71|
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