SCOPUS 정보 검색 플랫폼

Volumn 20, Issue 7, 1996, Pages 488-500

Global stability properties of equilibria, periodic, and chaotic solutions

Author keywords

Basins of attraction; Chaos; Global dynamics; Stability

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; GEOMETRY; HARMONIC ANALYSIS; NONLINEAR SYSTEMS;

GLOBAL STABILITY; LINEARIZED STABILITY ANALYSIS; POINT ATTRACTORS; STEADY STATE SOLUTIONS;

ASYMPTOTIC STABILITY;

EID: 0030195090 PISSN: 0307904X EISSN: None Source Type: Journal
DOI: 10.1016/0307-904X(95)00168-J Document Type: Article

Times cited : (5)

References (11)

1
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- Springer Verlag, New York
- Guckenheimer, J. and Holmes, P. I., Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Springer Verlag, New York, 1983
- (1983) Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields
- Guckenheimer, J.¹ Holmes, P.I.²

2
- 0003508788
- Oxford University Press, New York
- Jordan, D. W. and Smith, P., Nonlinear Ordinary Differential Equations. Oxford University Press, New York, 1987
- (1987) Nonlinear Ordinary Differential Equations
- Jordan, D.W.¹ Smith, P.²

3
- 0003595281
- Wiley and Sons, U.K.
- Thompson, J. M. T. and Stewart, H. B., Nonlinear Dynamics and Chaos, Wiley and Sons, U.K., 1986
- (1986) Nonlinear Dynamics and Chaos
- Thompson, J.M.T.¹ Stewart, H.B.²

4
- 0003548726
- Springer Verlag, New York
- Wiggins, S. Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer Verlag, New York, 1990
- (1990) Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Wiggins, S.¹

5
- 0004050548
- Academic Press, New York
- La Salle, J. P. and Lefschetz, S., Stability by Liapunov's Direct Method, Academic Press, New York, 1961
- (1961) Stability by Liapunov's Direct Method
- La Salle, J.P.¹ Lefschetz, S.²

6
- 0003860399
- Elsevier Science Publishing Co., U.K.
- Seydel, R. From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis. Elsevier Science Publishing Co., U.K., 1988
- (1988) From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis
- Seydel, R.¹

7
- 0003696581
- Wiley
- Nayfeu, A. U. and Mook, D. T., Nonlinear Oscillations. Wiley, 1979
- (1979) Nonlinear Oscillations
- Nayfeu, A.U.¹ Mook, D.T.²

8
- 0001189277
- Basin organisation prior to a tangled saddle-node bifurcation
- Soliman, M. S. and Thompson, J. M. T. Basin organisation prior to a tangled saddle-node bifurcation. Bifurcation Chaos, 1991, 107-119
- (1991) Bifurcation Chaos , pp. 107-119
- Soliman, M.S.¹ Thompson, J.M.T.²

9
- 0027662954
- Jumps to resonance: Long chaotic transients, unpredictable outcome and the probability of restabilization
- Soliman, M. S. Jumps to resonance: Long chaotic transients, unpredictable outcome and the probability of restabilization Journal of Applied Mechanics, 1993, 60, 669-676.
- (1993) Journal of Applied Mechanics , vol.60 , pp. 669-676
- Soliman, M.S.¹

10
- 0024928870
- Integrity measures quantifying the erosion of smooth and fractal basins of attraction
- Soliman, M. S. and Thompson, J. M. T. Integrity measures quantifying the erosion of smooth and fractal basins of attraction. J. Sound Vibration 1989, 135, 453-475
- (1989) J. Sound Vibration , vol.135 , pp. 453-475
- Soliman, M.S.¹ Thompson, J.M.T.²

11
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- Fractal basin boundaries
- McDonald, S. W., Grebogi, C., Ott, E., and Yorke, J. A., Fractal basin boundaries. Physica 1985, 17D, 125-153
- (1985) Physica , vol.17 D , pp. 125-153
- McDonald, S.W.¹ Grebogi, C.² Ott, E.³ Yorke, J.A.⁴

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