Routes to chaos exhibited by closed flexible cylindrical shells

Journal of Computational and Nonlinear Dynamics

Volumn 2, Issue 1, 2007, Pages 1-9

  Awrejcewicz, J ^a   Krysko, V ^b   Saveleva, N ^b  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

^b SARATOV STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; FOURIER ANALYSIS; GALERKIN METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RUNGE KUTTA METHODS;

CAUCHY PROBLEM; QUALITATIVE THEORY; SYSTEM DYNAMICS;

VIBRATIONS (MECHANICAL);

EID: 34248397233     PISSN: 15551423     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2402923     Document Type: Article

References (15)

1. Awrejcewicz, J., and Krysko, V. A., 2001, "Feigenbaum Scenario Exhibited by Thin Plate Dynamics," Nonlinear Dyn., 24, pp. 373-398.
2. Awrejcewicz, J., Krysko, V, and Krysko, A., 2002, "Spatial-Temporal Chaos and Solitons Exhibited by Von Karman Model," Int. J. Bifurcation Chaos Appl. Sci. Eng., 12(7), pp. 1465-1513.
3. Awrejcewicz, J., and Krysko, A. V., 2003, "Analysis of Complex Parametric Vibrations of Plates and Shells using Bubnov-Galerkin Approach, Archive of Applied Mathematics, 73, pp. 495-504.
4. Awrejcewicz, J., and Krysko, V., 2003, Nonclassic Thermoelastic Problem in Nonlinear Dynamics of Shells, Springer, Berlin, Germany.
5. Awrejcewicz, J., Krysko, V. A., and Vakakis, A. F., 2004, Nonlinear Dynamics of Continuous Elastic Systems, Springer, Berlin, Germany.
6. Volmir, A. S., 1963, Stability of Elastic Systems, Fizmatgiz, Moscow (in Russian).
7. Krysko, V. A., and Kucemako, A. N., 1999, Stability and Vibrations of Non-Uniform Shells, Saratov University Press, Russia, Saratov (in Russian).
8. Krysko, V. A., and Saveleva, N. E., 2003, "Vibrations of Closed Cylindrical Shells at Non-Axis-Symmetrical Sign-Variable External Load," Works of the International Conference "Nonlinear Fluctuations of Mechanical and Biological Systems, " Saratov University Press, Russia, Saratov (in Russian).
9. Krysko, V. A., and Saveleva, N. E., 2003, Stochastic Dynamics of Closed Cylindrical Shells at Non-Axis-Symmetrical External Loading, Saratov University Press, Russia, Saratov (in Russian).
10. Krysko, V. A., and Saveleva, N. E., 2004, "Statics and Dynamics of Closed Cylindrical Shells at Non-Uniform Loading," Works of the International Conference "Problems of Durability of Materials and Designs on Transport," St.-Petersburg, Russia (in Russian).
11. Landau, D., 1944, On the Problem of Turbulence, Lectures Academy of Sciences of USSR, Moscow, Russia (in Russian), 44, pp. 339-342.
12. Ruelle, D., and Takens, F., 1971, "On the Nature of Turbulence," Comp. Math. Phys, 20(2), pp. 167-192.
13. Feigenbaum, M. J., 1978, "Quantitative Universally for a Class of Nonlinear Transformation," J. Stat. Phys., 19(1), pp. 25-52.
14. Manneville, P., and Pomeau, Y., 1980, "Different ways to turbulence in dissipative dynamical systems," Physica D, 1, pp. 219-228.
15. Krysko, V. A., and Saveleva, N. E., 2003, "Ruelle-Takens-Feigenbaum Scenario and Counting of Feigenbaum constant," Proceedings of the 7th Conference on "Dynamical Systems - Theory and Applications, J. Awrejcewicz, A. Owczarek, J. Mrozowski, Łódź Poland, December 8-11, pp. 179-188.