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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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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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