Compound program packages and a nonlinear random fluctuations analysis

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Compound program packages and a nonlinear random fluctuations analysis

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1998 international symposium on Symbolic and algebraic computation table of contents

Rostock, Germany

Pages: 70 - 75

Year of Publication: 1998

ISBN:1-58113-002-3

Author

Igor E. Poloskov

The Perm State University, Bukirev st. 15, Perm, GSP, 614600, Russia

Sponsors

German Comp Soc : GI - Gesellshaft for Informatik
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

Publisher

ACM New York, NY, USA

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Bogoliubov, N. and Mitropolski, U. (1961) Asymptotic Methods in the Non-Linear Oscillations. Gordon & Breach, New York.
	2	Bolotin, V.V. (1979) Random Vibrations of Elastic Systems. Nauka, Moscow (in Russian).
	3	Dimentberg, M.F. (1980) Nonlinear Stochastic Problems of Mechanical Vibrations. Nauka, Moscow (in Russian).
	4	Evlanov, L.G. and Konstantinov, V.M. (1976) Systems with Random Parameters. Nauka, Moscow (in Russian).
	5	Gardiner, C.W. (1985) Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences. 2nd edition. Springer-Verlag, Berlin.
	6	Hearn, A.C. (1983) REDUCE3 User's Man~tal. RAND publication CP78 (4/83).
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	9	Looney, C.G. (1985) Numerical solution of systems of random differential equations with Gaussian statistics. Journal of Math. Anal. and Appl. 105, 222-230.
	10	Malanin, V.V. and Zhdanov, G.A. (1982) On the iteration operator method of dynamical systems with random fluctuations analysis. Problems of Controlled Motion Mechanics. Nonlinear Dynamical Systems, 103- 113. Perm (in Russian).
	11	Malanin, V.V. and Poloskov, I.E. (1991) On CA application in solving some statistical dynamical problems. Proc. of IV Intern. Conf. on Computer Algebra in Physical Research (Dubna, USSR, 1990), 335-339. World Scientific, Singapore.
	12	Malanin V.V., Poloskov I.E. (1996) Random effects analysis with computer algebra systems. The ISSA C'96 Poster Session Abstracts. W.W.Kiichlin (editor), 55- 58. ETH, Z/irich.
	13	Paraev, U.I. (1976) Introduction in Statistical Dynamics of Control and Filtration Processes. Sovetskoe radio, Moscow (in Russian).
	14	Poloskov, I.E. (1993) On an integrator method application for nonlinear stochastic dynamics problems. Problems of Controlled Motion Mechanics. Nonlinear Dynamical Systems, 54-61. Perm (in Russian).
	15	Poloskov, I.E. (1996) On one representation of transition probability density. Problems of Mechanics and Control, 145-152. Perm (in Russian).
	16	Poloskov, I.E. (1997) Some principles of realization of a numerical and analytical interface during a modelling of nonlinear systems with random input. Proc. of VII All- Russian Workshop "Modern Problems of Mathematical Modelling", 117-123. University, Rostov/Don (in Russian).
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	18	Risken, H. (1984) The Fokker-Planck Equation. Methods of Solution and Applications. Springer-Verlag, Berlin.
	19	Roberts, J.B. and Spanos, P.D. (1986) Stochastic averaging: an approximation method of solving random vibration problems. Int. Journal Non-Linear Mech. 21(2), 111-134.
	20	Song, T.T. (1973) Random Differential Equations in Science and Engineering. Academic press, New York, London.
	21	Stratonovitch, R.L. (1963) Topics in the Theory of Random Noise, Vols 1 and 2. Gordon & Breach, New York.
	22	Tikhonov, V.I. and Mironov, M.A. (1977) Markov Processes. Sovetskoe radio, Moscow (in Russian).
	23	Stephen Wolfram, The Mathematica book (3rd ed.), Cambridge University Press, New York, NY, 1996