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Journal of Difference Equations and Applications, ISSN 1023-6198, 07/2018, Volume 24, Issue 7, pp. 1044 - 1054
Journal Article
Archiv der Mathematik, ISSN 0003-889X, 9/2018, Volume 111, Issue 3, pp. 287 - 297
Using valuation rings and valued fields as examples, we discuss in which ways the notions of “topological IFS attractor” and “fractal space” can be generalized... 
37C70 | Secondary 37C25 | Valued fields | 12J25 | 12J15 | Iterated function systems | Mathematics, general | Primary 28A80 | Mathematics | Fractals | MATHEMATICS
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 10/2019, Volume 25, Issue 9-10, pp. 1372 - 1381
Let be a nonautonomous dynamical system. In this paper, we summarize known definitions of periodic points for general nonautonomous dynamical systems and... 
54H20 | 37B55 | Devaney chaos | Nonautonomous system | periodic point | 37C25 | Sharkovsky's ordering
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 05/2019, Volume 25, Issue 5, pp. 619 - 629
In this article, we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular, we give sufficient... 
37C30 | periodic point | 37C25 | Transversal maps | 37E15 | product of spheres | Lefschetz numbers | MATHEMATICS, APPLIED | Periodic structures
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 07/2018, Volume 24, Issue 7, pp. 1044 - 1054
Let f be a smooth map of the m-dimensional sphere to itself, preserving the longitudinal foliation. We estimate from below the number of fixed points of the... 
topological degree | smooth maps | Periodic points | 37E30 | Primary: 37C25 | 55M20 | Maps
Journal Article
Duke Mathematical Journal, ISSN 0012-7094, 2015, Volume 164, Issue 5, pp. 903 - 932
We give a classification of birational transformations on smooth projective surfaces which have a Zariski-dense set of noncritical periodic points. In... 
MATHEMATICS | DYNAMICS | CURRENTS | MAPS | dynamical degree | 37P55 | periodic point | 14J50 | 37C25 | projective surface | Zariski dense | birational transformation
Journal Article
Constructive Approximation, ISSN 0176-4276, 12/2017, Volume 46, Issue 3, pp. 435 - 458
Journal Article
Rocky Mountain Journal of Mathematics, ISSN 0035-7596, 2018, Volume 48, Issue 6, pp. 2055 - 2068
In this article, we study the weighted composition operators preserving the class p(alpha) of analytic functions subordinate to (1 + alpha z)/(1 - z) for... 
Subordination | Function spaces | Analytic functions | Schwarz functions | Weighted composition | analytic functions | MATHEMATICS | function spaces | ISOMETRIES | subordination
Journal Article
Demonstratio Mathematica, ISSN 2391-4661, 09/2019, Volume 52, Issue 1, pp. 347 - 360
We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of... 
viscosity approximation method | CAT space | 47H09 | variational inequality | 37C25 | 47J25 | multivalued nonexpansive mapping | cat space | 47h09 | 37c25 | 47j25
Journal Article
Forum Mathematicum, ISSN 0933-7741, 09/2017, Volume 29, Issue 5, pp. 1145 - 1161
Takahasi’s Theorem on chains of subgroups of bounded rank in a free group is generalized to several classes of semigroups. As an application, it is proved that... 
periodic points | 20M18 | periodic orbits | 20M15 | 20M99 | Semigroups | groups | 37C25 | MATHEMATICS | MATHEMATICS, APPLIED | POINTS
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 03/2019, Volume 25, Issue 3, pp. 430 - 454
In this paper, we investigate the qualitative structures of a Ricker competition model near a degenerate fixed point with eigenvalues . Firstly, by the... 
37G05 | 34C05 | blowing-up | embedding flow | 37C25 | normal form | Degenerate fixed point | 34C08 | ORBITS | MATHEMATICS, APPLIED | Competition | Fixed points (mathematics) | Production planning | Eigenvalues | Blowing time | Mapping | Reflection | Fields (mathematics)
Journal Article
Acta Mathematica Scientia, ISSN 0252-9602, 05/2016, Volume 36, Issue 3, pp. 957 - 970
In this paper, we introduce new concepts of α-type -contractive mappings which are essentially weaker than the class of -contractive mappings given in [21, 22]... 
periodic points | 37C25 | fixed points | nonlinear fractional differential equations | 34A08 | Fixed points | Periodic points | Nonlinear fractional differential equations | MATHEMATICS | PRINCIPLE | THEOREMS | Nonlinearity | Mapping | Metric space | Uniqueness | Differential equations
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 4/2019, Volume 198, Issue 2, pp. 411 - 441
We study the backward invariant set of one-parameter semigroups of holomorphic self-maps of the unit disc. Such a set is foliated in maximal invariant curves,... 
Petals | Holomorphic models | Semigroups of holomorphic functions | Primary 37C10 | Mathematics | 37F99 | 37C25 | 30C35 | Secondary 30D05 | Backward orbits | Koenigs function | Mathematics, general | 30C80 | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Dynamical Systems, ISSN 1468-9367, 10/2018, Volume 33, Issue 4, pp. 691 - 707
In this paper, we revisit uniformly hyperbolic basic sets and the domination of Oseledets splittings at periodic points. We prove that periodic points with... 
periodic points | 37H15 | Oseledets splitting | Lyapunov exponents | finest dominated splitting | 37D30 | 37D20 | Uniform hyperbolicity | 37C25 | DIFFEOMORPHISMS | MATHEMATICS, APPLIED | DYNAMICAL-SYSTEMS | ORBITS | FLOWS | PHYSICS, MATHEMATICAL | AXIOM | Signatures | Topology
Journal Article
Applicable Analysis, ISSN 0003-6811, 07/2019, Volume 98, Issue 9, pp. 1636 - 1645
A two-species Lotka-Volterra model extended with an arbitrary number of indirect interactions through diffusible and renewable compounds is presented in view... 
34D23 | Lyapunov's second method | Global stability | ecological modelling | microbial interactions | 37B25 | 37C25 | 92D40 | Lyapunov’s second method | Microorganisms | Fixed points (mathematics) | Stability | Asymptotic properties | Asymptotic methods
Journal Article
Archiv der Mathematik, ISSN 0003-889X, 6/2018, Volume 110, Issue 6, pp. 617 - 627
Let f be an $${\mathbb {R}}^n$$ Rn -diffeomorphism, where $$n=2,3$$ n=2,3 , for which $$\{0\}$$ {0} is an isolated invariant set. We determine all possible... 
Fixed point index | Mathematics, general | Mathematics | Primary 37C25 | Secondary 37C05 | Diffeomorphisms | 55M20 | Low-dimensional dynamics | Iterates | MATHEMATICS | CONLEY INDEX | HOMEOMORPHISMS | MAPS | PLANE
Journal Article
Proceedings - Mathematical Sciences, ISSN 0253-4142, 4/2019, Volume 129, Issue 2, pp. 1 - 8
The purpose of this work is to study the following elliptic problem: $$\begin{aligned} (\mathrm{P}_\lambda )\qquad \left\{ \begin{array}{ll} -\Delta u... 
weak solution | 34B15 | 35R20 | Mathematics, general | three critical points | Mathematics | Nehari manifold | 37C25 | Laplacian operator | elliptic problem | EXISTENCE | MATHEMATICS
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 2/2019, Volume 95, Issue 3, pp. 2469 - 2476
Journal Article
Numerical Functional Analysis and Optimization, ISSN 0163-0563, 06/2017, Volume 38, Issue 6, pp. 705 - 722
In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0)... 
47H10 | fixed points | demicontractive mappings | CAT space | multi-valued mappings | Hausdorff distance | 37C25 | non-self mappings | 47H04 | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | NONEXPANSIVE-MAPPINGS | APPROXIMATION | Theorems | Convergence
Journal Article
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