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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Antimonotonicity: Concurrent creation and annihilation of periodic orbits

Author(s): I. Kan; J. A. Yorke
Journal: Bull. Amer. Math. Soc. 23 (1990), 469-476.
MSC (1985): Primary 54C35, 58F13
MathSciNet review: 1031582
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References | Similar articles | Additional information

References:

[GS] N. K. Gavrilov and L. P. Šilnikov, On three-dimensional dynamical systems close to systems with structurally unstable homoclinic curve, I, II, Math. USSR-Sb. 88(4) (1972), 467-485, ibid. 90(1) (1973), 139-156. MR 334280

[MT] J. Milnor and W. P. Thurston, On iterated maps of the interval, Dynamical Systems: Proc. Univ. Maryland 1986-87, Lecture Notes in Math., vol. 1342, Springer-Verlag, Berlin and New York, 1989, pp. 465-563. MR 970571

[N] S. Newhouse, The abundance of wild hyperbolic sets and nonsmooth stable sets for dijfeomorphisms, Inst. Hautes Etudes Sci. Publ. Math. 50 (1978), 101-151. MR 556584

[R] C. Robinson, Bifurcation to infinitely many sinks, Comm. Math. Phys. 90 (1983), 433-459. MR 719300


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Additional Information:

DOI: 10.1090/S0273-0979-1990-15959-2
PII: S 0273-0979(1990)15959-2


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