A note on the dynamics of an oscillator in the presence of strong friction

Nonlinear Analysis, Theory, Methods and Applications

Volumn 55, Issue 3, 2003, Pages 209-216

  Amann, H ^a   Diaz, J I ^b  

^a UNIVERSITY OF ZURICH   (Switzerland)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Asymptotic behavior; H lder continuous nonlinearity; Phase plane analysis; Stability

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FRICTION; OSCILLATORS (MECHANICAL);

PHASE PLANE ANALYSIS;

NONLINEAR SYSTEMS;

EID: 0042890336     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(03)00221-9     Document Type: Article

References (5)

1. H. Amann, Ordinary Differential Equations, de Gruyter Studies in Mathematics, Vol. 13, Walter de Gruyter & Co., Berlin, 1990. (An introduction to nonlinear analysis, Translated from German by G. Metzen).
2. D́az J.I., Linán A. On the asymptotic behavior for a damped oscillator under a sublinear friction. RACSAM Rev. R. Acad. Cienc. Exactas F́s. Nat. Ser. A Mat. 95(1):2001;155-160.
3. J.I. D́az, A. Linán, On the asymptotic behavior of solutions of a damped oscillator under a sublinear friction term: from the exceptional to the generic behaviors, in: Partial Differential Equations, Lecture Notes in Pure and Applied Mathematics, Vol. 229, Marcel Dekker, New York, 2002, pp. 163-170.
4. D.W. Jordan, P. Smith, Nonlinear Ordinary Differential Equations, 2nd Edition, Oxford Applied Mathematics and Computing Science Series, The Clarendon Press, Oxford University Press, New York, 1987.
5. Rayleigh J.W., Strutt B. The Theory of Sound. 2nd Edition:1945;Dover Publications, New York, NY.