38 papers
The paper introduces the Lyapunov Integrability Test (LIT), a novel and efficient numerical framework that utilizes global Lyapunov exponent analysis to identify candidate integrable regimes in nonlinear dynamical systems, a method validated across diverse benchmark examples ranging from fluid flows to mechanical systems.
This paper introduces a Bipolar Linguistic Z-Number (BLZ-Number) framework that unifies positive/negative assessments with linguistic reliability to enhance Failure Mode and Effects Analysis (FMEA) through a novel integration of BLZ-BWM, BLZ-CRITIC, and MABAC methods for more expressive and reliable risk evaluation.
This paper introduces a novel approach utilizing one-generator quasi-twisted codes of index 3 and their extended versions to construct binary stabilizer quantum codes and maximal-entanglement entanglement-assisted quantum codes with improved and optimal parameters.
This paper establishes a Fourier analytic framework for supercritical Mandelbrot cascades in a random environment to prove the existence of harmonic moments, demonstrate the exponential decay of characteristic functions, and derive refined limit theorems including improved central limit theorems, Edgeworth expansions, and a renewal theorem for .
This paper proposes a regularization-free variance component estimation framework for linear ill-posed models that utilizes null-space projections to eliminate unknown parameters and estimate variances directly from unbiased misclosures, thereby overcoming the bias, instability, and computational inefficiency inherent in conventional regularization-dependent approaches.
This descriptive-evaluative study audits ChatGPT and Gemini's performance in applied differential calculus, revealing that while both models can execute isolated procedures, they frequently fail in translating narrative conditions to functions, handling boundary constraints, and maintaining arithmetic consistency, thereby suggesting their solutions should be used as critique artifacts rather than unquestioned answers in education.
This paper demonstrates that spectral localization in complex networks fundamentally shifts the understanding of macroscopic dynamics from global eigenmodes to the local behavior of dominant nodes, thereby enabling a node-resolved framework that identifies microscopic drivers and predicts transitions in heterogeneous systems where classical stability theories fail.
This paper introduces a nonlocal variational model for thin films and establishes the -convergence of convolution-type functionals to a local integral functional on a lower-dimensional domain, characterizing the limit energy density through an asymptotic formula that reveals a scale separation effect under periodic homogenization.
This paper introduces a discriminant-guided preprocessing method implemented in Macaulay2 that accelerates the computation of local solutions for second-order Euler-type differential operators near x = 0 by detecting complex conjugate indicial roots to construct an oscillatory basis, thereby reducing symbolic branch-management overhead and execution time without impacting non-oscillatory cases.
This paper demonstrates that processing delays in institutional regulation alone can destabilize otherwise stable multi-agent systems through a supercritical Hopf bifurcation, causing large-amplitude oscillations in reactive agents while fixed-policy agents remain immune and Q-learning agents exhibit partial resilience due to memory-based damping.