Regular and Chaotic Flows in Paraboloidal Basins and Eddies

Chaos, Solitons and Fractals

Volumn 7, Issue 3, 1996, Pages 383-408

  Sachdev, P L ^a   Palaniappan, D ^a   Sarathy, R ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EDDIES; FLUID FLOW; PARABOLOIDAL BASIN; SHALLOW-WATER EQUATIONS;

EID: 0029750824     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/0960-0779(95)00068-2     Document Type: Article

References (12)

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3. F. K. Ball, The effect of rotation on the simpler modes of motion of a liquid in an elliptic paraboloid. J. Fluid Mech. 22, 529 (1965).
4. W. C. Thacker, Some exact solutions to the nonlinear shallow wave equations. J. Fluid Mech. 107, 499 (1981).
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6. W. R. Young, Elliptical vortices in shallow water. J Fluid Mech. 171, 101 (1986).
7. P. A. Clarkson and M. D. Kruskal, New similarity reductions of the Boussinesq equation. J. Math. Phys. 30, 2201 (1989).
8. G. R. Goldsbrough, Tidal oscillations in an elliptical basin of variable depth. Proc. R. Soc. Lond. A 30, 157 (1930).
9. R. Sarathy, Regular and Chaotic Behaviour of Some Dynamical Systems. PhD Thesis, Department of Mathematics, Indian Institute of Science, Bangalore, India (1995).
10. P. L. Sachdev, Nonlinear Ordinary Differential Equations and Their Applications. Marcel Dekker, New York (1991).
11. P. Berge, Y. Pomeau and C. Vidal, Order Within Chaos. Wiley, New York (1986).
12. A. Wolf, J. B. Swift, H. L. Swinney and J. A. Vastano, Determining Lyapunov exponents from a time series. Physica D 16, 285 (1985)