Wavelet transform‐based AFM enables real‐time nanoscale imaging by applying wavelet analysis to raw cantilever deflection signals. It reveals non‐linear, transient and multi‐frequency dynamics beyond conventional steady‐state methods. Integrated with adaptive filtering and digital twin modelling, it produces high‐resolution, information‐rich maps of ...
Pardis Biglarbeigi +4 more
wiley +1 more source
Stability Criteria for Nonlinear-Truncated V-Fractional-Order Derivative Systems with Applications to Synchronization. [PDF]
Yang W.
europepmc +1 more source
Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies
ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi +2 more
wiley +1 more source
Thermophysics-Informed Phenomenological Framework for Molten Material Self-Organization in Laser Remelting-Based Surface Polishing: Conceptualization and Preliminary Analysis. [PDF]
Bordatchev E.
europepmc +1 more source
On Metric Choice in Dimension Reduction for Fréchet Regression
Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source
Set-Membership Estimation for Switched T-S Fuzzy Systems with MDADT Switching in Tunnel Diode Circuits. [PDF]
Xu J, Li Y, Guan C, Wang Z, Liu R.
europepmc +1 more source
On Aubin's Veto Mechanism: A Survey
ABSTRACT We revisit Aubin's veto mechanism—known as the fuzzy veto—in which agents may participate in a blocking coalition with only a fraction of their endowments, and show that its Core‐Walras equivalence stems directly from the classical Debreu‐Scarf and Aumann theorems.
Carlos Hervés‐Beloso +2 more
wiley +1 more source
Square integrable solutions and stability of a second-order stochastic integro-differential equation. [PDF]
Oudjedi-Damerdji LF +4 more
europepmc +1 more source
ABSTRACT Numerical anisotropy and dispersion are inherent consequences of spatial discretization in finite element modeling of wave propagation. In two‐dimensional problems, these effects manifest not only as direction‐dependent phase and group velocities but also as angularly dependent numerical band gaps that may entirely suppress wave propagation ...
Wiktor Waszkowiak +3 more
wiley +1 more source
A fractional SEIVRB model for aquatic diseases dynamics with stability analysis and numerical solution. [PDF]
Kosari S +3 more
europepmc +1 more source

