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Grzegorz Graff (2000)
Minimal periods of maps of rational exterior spacesFundamenta Mathematicae, 163
A. Guillamón, X. Jarque, J. Llibre, J. Ortega, Joan Torregrosa (1995)
Periods for transversal maps via Lefschetz numbers for periodic pointsTransactions of the American Mathematical Society, 347
A. Dold (1983)
Fixed point indices of iterated mapsInventiones mathematicae, 74
J. Casasayas, J. Llibre, A. Nunes (1995)
Periodic orbits of transversal mapsMathematical Proceedings of the Cambridge Philosophical Society, 118
J. Llibre, J. Paraños (1998)
PERIODS FOR TRANSVERSAL MAPS ON COMPACT MANIFOLDS WITH A GIVEN HOMOLOGY
J. Jezierski, W. Marzantowicz (2005)
Homotopy Methods in Topological Fixed and Periodic Points Theory
(1981)
Fixed Point Theory Proceeding of a Conference Held at Sherbrooke Québec 1980
Grzegorz Graff (2000)
Existence of δm-periodic points for smooth maps of compact manifoldHokkaido Mathematical Journal, 29
uria Fagellanuria (2007)
Periodic Points of Holomorphic Maps via Lefschetz Numbers
W. Marzantowicz, P. Przygodzki (1999)
Finding periodic points of a map by use of a k-adic expansionDiscrete and Continuous Dynamical Systems, 5
(1997)
Finding periodic points of a smooth mapping using Lefschetz numbers of its iterations
Grzegorz Graff (2006)
Algebraic periods of self-maps of a rational exterior space of rank 2Fixed Point Theory and Applications, 2006
(1992)
Lefschetz numbers for periodic points, Nielsen Theory and Dynamical Systems
I. Babenko, S. Bogatyi (1992)
THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPINGMathematics of The Ussr-izvestiya, 38
(1992)
Lefschetz numbers for periodic points
M. Shub, D. Sullivan (1974)
A remark on the Lefschetz fixed point formula for differentiable mapsTopology, 13
C. Robinson (1994)
Dynamical Systems: Stability, Symbolic Dynamics, and Chaos
(1990)
Smooth maps with finitely many periodic points
S. Chow, J. Mallet-Paret, J. Yorke (1983)
A periodic orbit index which is a bifurcation invariant
J. Jezierski, W. Marzantowicz (2005)
A symmetry of sphere map implies its chaos*Bulletin of the Brazilian Mathematical Society, 36
Grzegorz Graff (2002)
Indices of iterations and periodic points of simplicial maps of smooth typeTopology and its Applications, 117
Grzegorz Graff, P. Nowak-Przygodzki (2006)
Periodicity of a sequence of local fixed point indices of iterationsOsaka Journal of Mathematics, 43
T. Morrison (2006)
Dynamical Systems
Let f be a smooth self-map of a compact manifold and be a family of compact subsets of periodic points of f. Under some natural condition on the family we find the form of the sequence of indices of iterations , which generalizes the classical theorem of Chow, Mallet-Paret and Yorke. We apply this knowledge to study the structure of periodic points of f. In particular, we show that a map f with unbounded sequence of Lefschetz numbers of iterations , which satisfies some assumption put on derivatives at periodic points, has an infinite number of minimal periods.
Dynamical Systems: An International Journal – Taylor & Francis
Published: Dec 1, 2008
Keywords: fixed point index; periodic points; iterations; C 1 maps; Primary 37C25; Secondary 37C05
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