The dissipative term in the Rayleigh oscillator contains a nonlinear (cubic) contribution. Usually, the coefficient, ε, of ...
The demand for effective, lightweight, and maintenance-free vibration control solutions has driven a paradigm shift from ...
The previous article in this series examined how institutions misclassify AI‑driven exposure due to legacy metrics, ...
When we first learn mathematics, most of what we see is neat, predictable, and well-behaved. Solve an equation, get a clean answer. Draw a straight line, and it behaves exactly as expected. This is ...
Imagine standing on top of a mountain. From this vantage point, we can see picturesque valleys and majestic ridges below, and streams wind their way downhill. If a drop of rain falls somewhere on this ...
Abstract: This article proposes a deep Koopman-based identification method for nonlinear dynamical systems with modeling residuals learned recursively by incremental Gaussian process regression (IGPR) ...
Even if a dynamical system has only a handful of quantitative variables, it is inherently difficult to predict the long-term effect of increasing or decreasing the level of one variable on other ...
Internal climate variability (ICV) remains a major source of uncertainty in climate projections, complicating impact assessments across critical sectors, especially at stakeholder-relevant scales.
Abstract: Nonlinear dynamical systems with oscillatory (periodic, quasi-periodic and chaotic) responses are analyzed in this paper through the method of Lyapunov exponents. The main goal is to present ...
Many systems obey simple, linear rules: If you pull twice as hard on a spring, it stretches twice as far. However, when we introduce very large forces or complicated interactions, that linear rule ...
Long-term forecasting of sequential time-series data generated from a nonlinear dynamical system is a central problem in engineering. For classification or prediction of such time-series data, a ...
In many complex systems, predictability can be substantially state-dependent. We propose here a purely data-driven approach for estimating the local predictability at different time scales. The ...
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