Thermodynamically Constrained Averaging Theory: Principles, Model Hierarchies, and Deviation Kinetic Energy Extensions. [PDF]
Entropy (Basel), 2018 The thermodynamically constrained averaging theory (TCAT) is a comprehensive theory used to formulate hierarchies of multiphase, multiscale models that are closed based upon the second law of thermodynamics.
Miller CT, Gray WG, Kees CE.
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Thermodynamically Constrained Averaging Theory: Why Bother? [PDF]
ARC Geophys ResPorous medium researchers and practitioners usually rely on macroscale models to represent systems of concern. While macroscale models have often been formulated phenomenologically, the thermodynamically constrained averaging theory (TCAT) provides a ...
Weigand TM, Gray WG, Miller CT.
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Sovereign Risk Indices and Bayesian Theory Averaging [PDF]
Econometrics, 2020 In economic applications, model averaging has found principal use in examining the validity of various theories related to observed heterogeneity in outcomes such as growth, development, and trade.
Alex Lenkoski, Fredrik L. Aanes
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Higher order stroboscopic averaged functions: a general relationship with Melnikov functions
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In the research literature, one can find distinct notions for higher order averaged functions of regularly perturbed non-autonomous $T$-periodic differential equations of the kind $x'=\varepsilon F(t,x,\varepsilon)$.
Douglas Novaes
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On the Periodic Solutions for the Perturbed Spatial Quantized Hill Problem
Mathematics, 2022 In this work, we investigated the differences and similarities among some perturbation approaches, such as the classical perturbation theory, Poincaré–Lindstedt technique, multiple scales method, the KB averaging method, and averaging theory.
Elbaz I. Abouelmagd +4 more
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Calculating periodic orbits of the Hénon–Heiles system
Frontiers in Astronomy and Space Sciences, 2023 This work is divided to two parts; the first part analyzes the features of Hénon–Heiles’s potential and finding the energy levels for bounded and unbounded motions.
Sawsan Alhowaity +4 more
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Limit cycles in piecewise smooth perturbations of a class of cubic differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we study the bifurcation of limit cycles from a class of cubic integrable non-Hamiltonian systems under arbitrarily small piecewise smooth perturbations of degree $n$.
Dan Sun, Yunfei Gao, Linping Peng, Li Fu
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WASPAS method and Aczel-Alsina aggregation operators for managing complex interval-valued intuitionistic fuzzy information and their applications in decision-making [PDF]
PeerJ Computer Science, 2023 Aczel-Alsina t-norm and t-conorm are a valuable and feasible technique to manage ambiguous and inconsistent information because of their dominant characteristics of broad parameter values.
Haojun Fang +4 more
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On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in
Mathematics, 2020 Here we study 3-dimensional Lotka–Volterra systems. It is known that some of these differential systems can have at least four periodic orbits bifurcating from one of their equilibrium points.
Maoan Han, Jaume Llibre, Yun Tian
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Mathematics, 2021 Power electronic converters are mathematically represented by a system of ordinary differential equations discontinuous right-hand side that does not verify the conditions of the Cauchy-Lipschitz Theorem.
Santolo Meo, Luisa Toscano
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