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.
Displaying similar documents to “Dynamics in gropus”
On the C⁰-closing lemma
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Marco Degiovanni, Fabio Giannoni, Antonio Marino (1987)
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We study the existence of regular periodic solutions to some dynamical systems whose potential energy is negative, has only a singular point and goes to zero at iniìnity. We give sufficient conditions to the existence of periodic solutions of assigned period which do not meet the singularity.
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Srzednicki, Roman (2000)
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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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Dynamical systems with Newtonian type potentials
Marco Degiovanni, Fabio Giannoni, Antonio Marino (1987)
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We study the existence of regular periodic solutions to some dynamical systems whose potential energy is negative, has only a singular point and goes to zero at iniìnity. We give sufficient conditions to the existence of periodic solutions of assigned period which do not meet the singularity.
Positive periodic solutions of nonlinear first-order functional difference equations.
Ma, Ruyun, Chen, Tianlan, Lu, Yanqiong (2010)
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Dynamics of a Lotka-Volterra map
Francisco Balibrea, Juan Luis García Guirao, Marek Lampart, Jaume Llibre (2006)
Fundamenta Mathematicae
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Given the plane triangle with vertices (0,0), (0,4) and (4,0) and the transformation F: (x,y) ↦ (x(4-x-y),xy) introduced by A. N. Sharkovskiĭ, we prove the existence of the following objects: a unique invariant curve of spiral type, a periodic trajectory of period 4 (given explicitly) and a periodic trajectory of period 5 (described approximately). Also, we give a decomposition of the triangle which helps to understand the global dynamics of this discrete system which is linked with...
A note on periodic solution of second order non-linear differential equations
Bahman Mehri (1977)
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Accurate computation of periodic regions' centers in the general -set with integer index number.
Xingyuan, Wang, Yijie, He, Yuanyuan, Sun (2010)
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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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Seventy-five years of global analysis around the forced pendulum equation
Mawhin, Jean
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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 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.