Simplest dissipative chaotic flow

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 228, Issue 4-5, 1997, Pages 271-274

  Sprott, J C ^a  

^a University of Wisconsin ^*  (United States)

Author keywords

Chaos; Differential equation; Flow; Fractal; Jerk; Strange attractor

Indexed keywords

CHAOS THEORY; FRACTALS;

CHAOTIC FLOWS; DEPENDENT VARIABLES; FLOW; JERK; NUMERICAL EXAMINATION; PERIOD DOUBLING ROUTE TO CHAOS; QUADRATIC NONLINEARITIES; STRANGE ATTRACTORS;

DIFFERENTIAL EQUATIONS;

EID: 0041322255     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00088-1     Document Type: Article

References (14)

1. R. May, Nature 261 (1976) 45.
2. M.W. Hirsch and S. Smale, Differential equations, dynamical systems and linear algebra (Academic Press, New York, 1974).
3. E.N. Lorenz, J. Atmos. Sci. 20 (1963) 130.
4. O.E. Rössler, Phys. Lett. 57A (1976) 397.
5. Y. Ueda, in: New approaches to nonlinear problems in dynamics, ed. P.J. Holmes (SIAM, Philadelphia, 1980) p. 311.
6. M. Hénon, Commun. Math. Phys. 50 (1976) 60.
7. L.F. Olsen and H. Degn, Quart. Rev. Biophys. 18 (1985) 165.
8. J.C. Sprott, Phys. Rev. E 50 (1995) R647.
9. H.P.W. Gottlieb, Am. J. Phys. 64 (1996) 525.
10. J.C. Sprott, Comput. Graphics 7 (1993) 325.
11. G. Benettin, L. Galgani, A. Giorgilli and J.-M. Strelcyn, Meccanica 15 (1980) 21.
12. J.C. Sprott, submitted to Am. J. Phys.
13. J.L. Kaplan and J.A. Yorke, in: Lecture notes in mathematics, Vol. 730. Functional differential equations and approximations of fixed points, eds. H.-O. Peitgen and H.-O. Walther (Springer, Berlin, 1979) p. 204.
14. Animated rotational views of the attractor and its basin are available at http://sprott.physics.wisc.edu/simpjerk.htm.