Non-linear dynamics of underwater acoustics

Journal of Sound and Vibration

Volumn 220, Issue 5, 1999, Pages 771-786

  Wiercigroch, M ^a   Badiey, M ^b   Simmen, J ^c   Cheng, A H D ^b  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

^b UNIVERSITY OF DELAWARE   (United States)

^c OFFICE OF NAVAL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000649922     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1999     Document Type: Article

References (19)

1. W. H. MUNK and C. WUNSCH 1979 Deep Sea Research 26A, 123-161. Ocean acoustic tomography: a scheme for large-scale monitoring.
2. J. SPIESBERGER and K. METZGER 1991 Journal of Geophysical Research 96, 4869-4889. Basin-scale tomography: a new tool for studying weather and climate.
3. J. COLOSI, S. FLATTE and C. BRACHER 1994 Journal of the Acoustical Society of America 96, 452-468. Internal-wave effects on 1000-km oceanic acoustic pulse propagation: simulation and comparison with experiment.
4. J. SIMMEN, S. M. FLATTE and G.-Y. WANG 1997 Journal of the Acoustical Society of America 102, 239-255. Wavefront folding, chaos, and diffraction for sound propagation through ocean internal waves.
5. G. M. ZASLAVSKY, M. EDELMAN and B. A. NIYAZOV 1997 Chaos 7, 151-181. Self similarity, renormalization and phase nonuniformity of Hamiltonian chaotic dynamics.
6. G. M. ZASLAVSKY and S. S. ABDULLAEV 1997 Chaos 7, 182-186. Chaotic transmission of waves and "cooling" of signals.
7. W. H. MUNK 1974 Journal of the Acoustical Society of America 55, 220-226. Sound channel in an exponentially stratified ocean with application to SOFAR.
8. J. M. T. THOMPSON and H. B. STEWART 1987 Nonlinear Dynamics and Chaos. New York: Wiley.
9. W. SZEMILINSKA-STUPNICKA 1990 The Behaviour of Nonlinear Vibrating Systems. Niholf.
10. F. B. JENSEN, W. A. KUPERMAN, M. B. PORTER and H. SCHMIDT 1994 Computational Ocean Acoustics. AIP Press.
11. B. D. COURNELLE, P. F. WORCESTER, J. A. HILDEBRAND, W. S. HODGKISS JR., T. F. DUDA, J. BOYD, B. M. HOWE, J. A. MERCER and R. C. SPINDEL 1993 Journal of Geophysical Research 98, 16365-77. Ocean acoustic tomography at 1000-km range using wavefronts measured with a large-aperture vertical array.
12. V. I. ARNOLD 1988 Geometry Methods in the Theory of Ordinary Differential Equations. Berlin: Springer; 2nd edition.
13. S. WIGGINS 1990 Introduction to Applied Nonlinear Dynamical Systems and Chaos. Berlin: Springer.
14. T. S. PARKER and L. O. CHUA 1989 Practical Numerical Algorithms for Chaotic Systems. Berlin: Springer.
15. S. NATSIAVAS 1990 Journal of Sound and Vibration 141, 97-102. Stability and bifurcation analysis for oscillators with motion limiting constrains.
16. S. NATSIAVAS 1993 Journal of Sound and Vibration 165, 439-453. Dynamics of multi-degree-of-freedom oscillators with colliding components.
17. H. G. SCHNEIDER 1994 in Theoretical and Computational Acoustics: International Conference on, Vol. 2, Environmental Acoustics (eds. D. Lee and M. H. Schultz), Mystic, CN. World Scientific Publ. Singapore: Stochastic ray tracing.
18. E. OTT, C. GREBOGI and J. A. YORKE Physical Review Letters 64, 1196-1199. Controlling chaos.
19. T. KAPITANIAK Journal of Sound and Vibration 163, 182-187. Analytical methods of controlling chaos in Duffing's oscillator.