Danger of unpredictable failure due to indeterminate bifurcation

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 76, Issue SUPPL. 4, 1996, Pages 205-208

  Thompson, J M T ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748717747     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. THOMPSON, J.M.T., STEWART, H.B., UEDA, Y.: Safe, explosive and dangerous bifurcations in dissipative dynamical systems; Phys. Rev. E 49 (1994), 1019-27.
2. THOMPSON, J.M.T.: Global unpredictability in nonlinear dynamics: capture, dispersal and the indeterminate bifurcations; Physica D. 58 (1992), 260-272.
3. THOMPSON, J.M.T., SOLIMAN, M.S.: Indeterminate jumps to resonance from a tangled saddle-node bifurcation; Proc. R. Soc. Lond. A 432 (1991), 101-111.
4. THOMPSON, J.M.T., STEWART, H.B.: Nonlinear Dynamics and Chaos, Wiley, Chichester 1986.
5. STEWART, H.B., UEDA, Y.: Catastrophes with indeterminate outcome; Proc. R. Soc. Lond. A 432 (1991), 113-123.
6. THOMPSON, J.M.T.: Chaotic phenomena triggering the escape from a potential well; Proc. R. Soc. Lond. A 421 (1989), 195-225.
7. THOMPSON, J.M.T., SOLIMAN, M.S.: Fractal control boundaries of driven oscillators and their relevance to safe engineering design; Proc. R. Soc. Lond. A 428 (1990), 1-13.
8. THOMPSON, J.M.T., MCROBIE, F.A.: Indeterminate bifurcations and the global dynamics of driven oscillators; 1st Eur. Nonlinear Oscillations Conf., Hamburg 1993. E. Kreuzer & G. Schmidt (eds), Akademie Verlag, Berlin (1993), 107-128.
9. STEWART, H.B., THOMPSON, J.M.T., UEDA, Y., LANSBURY, A.N.: Optimal escape from potential wells - patterns of regular and chaotic bifurcation; Physica D, in press, 1995.
10. SOLIMAN, M.S., THOMPSON, J.M.T.: Indeterminate sub-critical bifurcations in parametric resonance; Proc. R. Soc. Lond. A 438 (1992), 511-518.
11. SOLIMAN, M.S., THOMPSON, J.M.T.: Indeterminate trans-critical bifurcations in parametrically excited systems; Proc. R. Soc. Lond. A 439 (1992), 601-610.
12. SOLIMAN, M.S., THOMPSON, J.M.T.: Indeterminate bifurcational phenomena in hardening systems; Proc. R. Soc. Lond. A , in press 1995.
13. SOLIMAN, M.S.: Predicting regimes of indeterminate jumps to resonance by assessing fractal boundaries in control space; Int. J. Bifurcation and Chaos 4 (1994), 1645-1653.