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Dynamical Properties of Quadratic Homeomorphisms of a Finite-Dimensional Simplex
In this paper, we describe the class of all quadratic homeomorphisms of a finite-dimensional simplex and examine the asymptotic behavior of positive...
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Bi-Lyapunov Stable Homoclinic Classes for C1 Generic Flows
We study bi-Lyapunov stable homoclinic classes for a C 1 generic flow on a closed Riemannian manifold and prove that such a homoclinic class contains...
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Conservative surface homeomorphisms with finitely many periodic points
The goal of the article is to characterize the conservative homeomorphisms of a closed orientable surface S of genus ≥ 2, that have finitely many...
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Green’s Function for Periodic Solutions in Alternately Advanced and Delayed Differential Systems
In this paper we investigate the existence of the periodic solutions of a nonlinear differential equation with a general piecewise constant argument,...
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A generalized Poincaré–Birkhoff theorem
We prove a generalization of the classical Poincar´e–Birkhoff theorem for Liouville domains, in arbitrary even dimensions.
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Stable and non-symmetric pitchfork bifurcations
In this paper, we present a criterion for pitchfork bifurcations of smooth vector fields based on a topological argument. Our result expands...
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A Fixed Point Theorem, Intermediate Value Theorem, and Nested Interval Property
For a continuous function f : [ a , b ] → R , we prove that f has a fixed point if and only if the intervals [ a 0 , b 0 ]:= [ a , b ] and [ a n , b n ]:= [ a n −1 , b n −1 ]...
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Valuation theory, generalized IFS attractors and fractals
Using valuation rings and valued fields as examples, we discuss in which ways the notions of “topological IFS attractor” and “fractal space” can be...
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Bifurcation analysis and chaos control in discrete-time system of three competing species
In this paper, we investigate the complex dynamics of three-dimensional Ricker-type discrete-time competition model. We discuss the existence and...
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Operators on Spaces of Functions and Measures. Vector Invariant (Fractal) Measures
We consider a general schema involving measure spaces, contractions and linear and continuous operators. Within the framework of this schema we use...
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Iterated Function Systems Consisting of \(\varvec{\varphi }\)-Contractions
In present times, there has been a considerable effort to generalize the classical notion of iterated function system. We’ll present in this paper...
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About Karamata Mean Value Theorem, Some Consequences and Some Stability Results
The aim of this paper is to explore Karamata’s mean value theorem. In the second section, we reformulate a mean theorem for the convex functions and...
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Approximation of Common Fixed Points of Nonlinear Map**s Satisfying Jointly Demi-closedness Principle in Banach Spaces
In this paper we first introduce the notion of jointly demi-closedness principle, extending the notion of demi-closedness principle introduced and...
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When a smooth self-map of a semi-simple Lie group can realize the least number of periodic points
There are two algebraic lower bounds of the number of n -periodic points of a self-map f : M → M of a compact smooth manifold of dimension at least 3: NF ...
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Local normal forms of smooth weakly hyperbolic integrable systems
In the smooth ( C ∞) category, a completely integrable system near a nondegenerate singularity is geometrically linearizable if the action generated by...
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New fixed point results for map**s of contractive type with an application to nonlinear fractional differential equations
In this paper, the notion of α-ψ -contractive map**s in the setting of w -distance is introduced and some new fixed point theorems for such map**s...
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On Caristi-type map**s without lower semicontinuity assumptions
In this paper, we establish some new fixed point theorems for generalized distances and Caristi-type map**s without assuming that the dominated...