Features of the phase trajectory of a fractal oscillator

Technical Physics Letters

Volumn 28, Issue 1, 2002, Pages 30-32

  Meilanov, R P ^a   Yanpolov, M S ^a  

^a Institute for Geothermal Problems   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036001911     PISSN: 10637850     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1448634     Document Type: Article

References (16)

1. B.B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1982).
2. A.I. Olemskoi and A. Ya. Flat, Usp. Fiz. Nauk 163 (12), 1 (1993) [Phys. Usp. 36, 1087 (1993)].
3. V.V. Zosimov and L.M. Lyamshev, Usp. Fiz. Nauk 165 (4), 361 (1995) [Phys. Usp. 38, 347 (1995)].
4. K.B. Oldham and J. Spanier, The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order (Academic, New York, 1974).
5. S.G. Samko, F.F. Kilbas, and O.I. Marichev, Integrals and Fractional-Order Derivatives and Some Applications (Nauka i Tekhnika, Minsk, 1987).
6. R.I. Nigmatulin, Teor. Mat. Fiz. 90 (3), 354 (1992).
7. K.V. Chukbar, Zh. Éksp. Teor. Fiz. 108 (5), 1875 (1995) [JETP 81, 1025 (1995)].
8. R.P. Meilanov, Pis'ma Zh. Tekh. Fiz. 22 (23), 40 (1996) [Tech. Phys. Lett. 22, 967 (1996)].
9. R.P. Meilanov and S.A. Sadykov, Zh. Tekh. Fiz. 69 (5), 128 (1999) [Tech. Phys. 44, 595 (1999)].
10. R.P. Meilanov, Inzh.-Fiz. Zh. 74 (2), 34 (2001).
11. S. Lifshits, Geometric Theory of Differential Equations (Moscow, 1961).
12. N.V. Butenin, Neimark Yu.I., and N.A. Fufaev, An Introduction to the Theory of Nonlinear Oscillations (Nauka, Moscow, 1976).
13. N.N. Bogolyubov and Mitropol'skii Yu.A., Asymptotic Methods in the Theory of Nonlinear Oscillations (Nauka, Moscow, 1974, 4th ed.; Gordon and Breach, New York, 1962).
14. J.K. Hale, Oscillations in Nonlinear Systems (McGraw-Hill, New York, 1963; Mir, Moscow, 1966).
15. N.N. Moiseev, Asymptotic Methods in Nonlinear Mechanics (Nauka, Moscow, 1981).
16. M.M. Dzharbashyan, Integral Transformations and Function Representations in Complex Domain (Nauka, Moscow, 1966).