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43 papers · 1 filter
An elementary derivation of 3-cycles for a quadratic map
Arpad Benyi, Ioan Casu
We present an elementary derivation of the period-three cycles for the real quadratic map , a fundamental model in one-dimensional discrete dynamics. Using symmetri…
Degenerate Chenciner bifurcation revisited
G. Moza, O. Brandibur, E. A. Kokovics +1
Generic results for degenerate Chenciner (generalized Neimark-Sacker) bifurcation are obtained in the present work. The bifurcation arises in two-dimensional discrete-time systems…
Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations
Oana Brandibur, Eva Kaslik
Necessary and sufficient conditions are explored for the asymptotic stability and instability of linear two-dimensional autonomous systems of fractional-order differential equation…
(h; k)-Dichotomy and Lyapunov Type Norms
Violeta Crai, Mihail Megan
The paper considers a general concept of nonuniform (h; k)- dichotomy for evolution operators in Banach spaces. Two characterizations of this concept in terms of some families of n…
On -trichotomy of evolution operators in Banach spaces
M. Megan, T. Ceausu, V. Crai
The paper considers some concepts of trichotomy with different growth rates for evolution operators in Banach spaces. Connections between these concepts and characterizations in te…
On (h;k) dichotomy of linear discrete-time systems in Banach spaces
Violeta Crai, Mirela Aldescu
The paper considers a general concept of dichotomy with different growth rates for linear discrete-time systems in Banach spaces. Characterizations in terms of Lyapunov type sequen…