On transformations having periodic properties
W. Ayres (1945)
Fundamenta Mathematicae
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Displaying similar documents to “The chain recurrent set for maps of compacta”
On transformations having periodic properties
On strong chain recurrence for maps
Katsuya Yokoi (2015)
Annales Polonici Mathematici
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This paper is concerned with strong chain recurrence introduced by Easton. We investigate the depth of the transfinite sequence of nested, closed invariant sets obtained by iterating the process of taking strong chain recurrent points, which is a related form of the central sequence due to Birkhoff. We also note the existence of a Lyapunov function which is decreasing off the strong chain recurrent set. As an application, we give a necessary and sufficient condition for the coincidence...
Note on normal sequences of chain complexes
Klaus Heiner Kamps (1978)
Colloquium Mathematicae
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On geometric detection of periodic solutions and chaotic dynamics.
Srzednicki, Roman (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Possibly Longest Food Chain: Analysis of a Mathematical Model
T. Matsuoka, H. Seno (2008)
Mathematical Modelling of Natural Phenomena
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We consider the number of trophic levels in a food chain given by the equilibrium state for a simple mathematical model with ordinary differential equations which govern the temporal variation of the energy reserve in each trophic level. When a new trophic level invades over the top of the chain, the chain could lengthen by one trophic level. We can derive the condition that such lengthening could occur, and prove that the possibly longest chain is globally stable. In some specific...
Periodic points and rotation numbers for area preserving diffeomorphisms of the plane
John Franks (1990)
Publications Mathématiques de l'IHÉS
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Resonant normal form for even periodic FPU chains
Andreas Henrici, Thomas Kappeler (2009)
Journal of the European Mathematical Society
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On generalized periodic solutions of linear differential equations of order n
J. Ligęza (1977)
Annales Polonici Mathematici
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Periodic solutions of differential equations in the cylindrical space
Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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Periodic solutions of x" + f(μ, x) = 0
G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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On the C⁰-closing lemma
Anna A. Kwiecińska (1996)
Annales Polonici Mathematici
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A proof of the C⁰-closing lemma for noninvertible discrete dynamical systems and its extension to the noncompact case are presented.
Embeddings of chains into chains
Vítězslav Novák, Tomáš Novotný (2005)
Discussiones Mathematicae - General Algebra and Applications
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Continuity of isotone mappings and embeddings of a chain G into another chain are studied. Especially, conditions are found under which the set of points of discontinuity of such a mapping is dense in G.
The existence of periodic solutions of an autonomous second order non-linear differential equation
G. J. Butler (1974)
Annales Polonici Mathematici
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Periodic Solutions of Scalar Differential Equations without Uniqueness
Stanisław Sȩdziwy (2009)
Bollettino dell'Unione Matematica Italiana
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The note presents a simple proof of a result due to F. Obersnel and P. Omari on the existence of periodic solutions with an arbitrary period of the first order scalar differential equation, provided equation has an n-periodic solution with the minimal period n > 1.
Periodic and Almost Periodic Solutions of Integral Inclusions
Radosław Pietkun (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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The existence of a continuous periodic and almost periodic solutions of the nonlinear integral inclusion is established by means of the generalized Schauder fixed point theorem.