Oscillation and asymptotic behavior of systems of ordinary linear differential equations [PDF]
Transactions of the American Mathematical Society, 1979 Conditions are established for oscillatory and asymptotic behavior for first-order matrix systems of ordinary differential equations, including Hamiltonian systems in the selfadjoint case. Asymptotic results of Hille, Shreve, and Hartman are generalized. Disconjugacy criteria of Ahlbrandt, Tomastik, and Reid are extended.
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Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems
International Journal of Differential Equations, 2023 In this paper, oscillation and asymptotic behavior of three-dimensional third-order delay systems are discussed. Some sufficient conditions are obtained to ensure that every solution of the system is either oscillatory or nonoscillatory and converges to zero or diverges astgoes to infinity.
Ahmed Abdulhasan Naeif +1 more
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On the asymptotic behavior of solutions of the Sturm-Liouville equation with an oscillating potential [PDF]
, 2022 Aigul R. Sagitova +2 more
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Sum rules and asymptotic behaviors of neutrino mixing and oscillations in matter
Journal of Physics: Conference Series, 2020 Abstract Similar to the case in vacuum, it is straightforward to describe neutrino oscillations in matter with the effective lepton flavor mixing matrix U ∼
Jing-yu Zhu, Zhi-zhong Xing
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Ultrahigh Piezoelectricity in Truss‐Based Ferroelectric Ceramics Metamaterials
Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.By leveraging the unique combination of polarization direction and loading state, ultrahigh piezoelectricity is achieved through careful tuning of the relative density and scaling ratio in truss‐based ferroelectric metamaterials. This approach enables the simultaneous realization of extremely high piezoelectric constants and ultralow dielectric ...
Jiahao Shi +6 more
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Spectral asymptotics for the Schr\"odinger operator on the line with spreading and oscillating potentials [PDF]
, 2017 This study is devoted to the asymptotic spectral analysis of multiscale Schr\"odinger operators with oscillating and decaying electric potentials. Different regimes, related to scaling considerations, are distinguished.
Duchêne, Vincent, Raymond, Nicolas
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On the asymptotic behavior of solutions of impulsively damped nonlinear oscillator equations
Journal of Computational and Applied Mathematics, 1996 AbstractIntermittently damped oscillator equations are important both in practice and attractivity investigations. The problem of attractivity appears clearly if the damping is concentrated into discrete points.In this paper we investigate the asymptotic behavior of the impulsive equation ẍ + ƒ(x) = 0 (t ≠ tn) ẋ(tn + 0) = bnẋ(tn) (t = tn) (n = 1, 2,
John R. Graef, János Karsai
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Quantum Thermalization Dynamics of Fermi Gases Quenched to the BEC‐BCS Crossover
Advanced Science, EarlyView.This study, reporting the first experimental realization of interaction quench far faster than the Fermi timescale in fermionic many‐body systems, explores real‐time quantum thermalization dynamics in the BEC‐BCS crossover. It observes prethermal states with distinct lifetimes after quantum quench, uncovers universal prethermal scaling, and observes ...
Licheng Yi +4 more
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Homogenization of Steklov spectral problems with indefinite density function in perforated domains
, 2012 The asymptotic behavior of second order self-adjoint elliptic Steklov eigenvalue problems with periodic rapidly oscillating coefficients and with indefinite (sign-changing) density function is investigated in periodically perforated domains.
Douanla, Hermann Yonta
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Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor
Advanced Electronic Materials, EarlyView.This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli +12 more
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