Results 71 to 80 of about 1,545 (199)

Superstable geometry in triadic percolation

open access: yesPhysical Review E
Triadic percolation turns bond percolation into a dynamical problem governed by an effective one-dimensional unimodal map. We show that the geometry of superstable cycles provides a direct, map-agnostic probe of local nonlinearity: specifically, the distance from the map's maximum to a distinguished next-to-maximum point on the ...
Fatemeh Aghaei   +3 more
openaire   +3 more sources

Approximate *-derivations and approximate quadratic *-derivations on C*-algebras

open access: yesJournal of Inequalities and Applications, 2011
In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras.
Park Choonkil, Jang Sun
doaj  

Superstability of Pexiderized functional equations arising from distance measures

open access: yes, 2016
In this paper, we obtain the superstability of the functional equation f(pr, qs) + g(ps, qr) = θ(pq, rs)h(p, q)k(r, s) for all p, q, r, s ∈ G, where G is an Abelian group, f, g, h, k are functionals on G2, and θ is a cocycle on G2.
G. Kim, Young Whan Lee
semanticscholar   +1 more source

Building Fe atom–cluster composite sites using a site occupation strategy to boost electrochemical oxygen reduction

open access: yesCarbon Energy, Volume 6, Issue 3, March 2024.
We designed Fe(Cd)–CNx catalysts composed of Fe single atoms and adjacent Fe clusters. The interaction between Fe clusters and satellite FeN4 sites drives the catalyst to exhibit ultrahigh ORR activity and durability in acidic and basic media. Zinc–air cells in a liquid or flexible solid state with Fe(Cd)–CNx as the cathode exhibit high power density ...
Tingyi Zhou   +11 more
wiley   +1 more source

On the Stability of Trigonometric Functional Equations

open access: yesAdvances in Difference Equations, 2008
The aim of this paper is to study the superstability related to the d'Alembert, the Wilson, the sine functional equations for the trigonometric functional equations as follows: f(x+y)−f(x−y)=2f(x)g(y),f(x+y)−f(x−y)=2g(x)f(y).
Gwang Hui Kim
doaj   +1 more source

Combining intransitive and higher‐order effects in a coupled oscillator framework: A case study of an ant community

open access: yesEcology, Volume 105, Issue 2, February 2024.
Abstract A growing body of literature recognizes that pairwise species interactions are not necessarily an appropriate metaphorical molecule of community ecology. Two examples are intransitive competition and nonlinear higher‐order effects. While these two processes have been discussed extensively, the explicit analysis of how the two of them behave ...
John Vandermeer, Ivette Perfecto
wiley   +1 more source

New insights into suspended drops: When soft matter meets acoustic levitation

open access: yesDroplet, Volume 3, Issue 1, January 2024.
We reviewed the new advances of acoustic levitation as well as the most classic literatures in soft matter field. We focused on the fundamental researches in this field using this technique, and discussed the unique physics/chemical processes involved in the acoustically levitated drops.
Hongyue Chen, Zhenyu Hong, Duyang Zang
wiley   +1 more source

Approximately Ternary Homomorphisms and Derivations on C∗-Ternary Algebras

open access: yesAbstract and Applied Analysis, 2012
We investigate the stability and superstability of ternary homomorphisms between C*-ternary algebras and derivations on C*-ternary algebras, associated with the following functional equation f((x2-x1)/3)+f((x1-3x3)/3)+f((3x1+3x3-x2)/3)=f(x1).
M. Eshaghi Gordji   +4 more
doaj   +1 more source

On the Superstability of Lobačevskiǐ’s Functional Equations with Involution

open access: yes, 2016
Let be a uniquely -divisible commutative group and let and be an involution. In this paper, generalizing the superstability of Lobacevskiǐ’s functional equation, we consider or for all , where . As a direct consequence, we find a weaker condition for the
Jaeyoung Chung, Bogeun Lee, M. Ha
semanticscholar   +1 more source

On Stability of a Functional Equation Connected with the Reynolds Operator

open access: yesJournal of Inequalities and Applications, 2007
Let (X,∘) be an Abelain semigroup, g:X→X, and let K be either ℝ or ℂ. We prove superstability of the functional equation f(x∘g(y))=f(x)f(y) in the class of functions f:X→K.
Adam Najdecki
doaj   +1 more source

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