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Application of Shannon Entropy to Reaction-Diffusion Problems Using the Stochastic Finite Difference Method. [PDF]
Entropy (Basel)Kamiński M, Ossowski RL.
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Simplified Fracture Mechanics Analysis at the Zinc-Adhesive Interface in Galvanized Steel-CFRP Single-Lap Joints. [PDF]
Materials (Basel)Dybizbański MA, Rzeszut K.
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Two-Dimensional Parametric Polynomial Chaotic System
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022When used in engineering applications, most existing chaotic systems may have many disadvantages, including discontinuous chaotic parameter ranges, lack of robust chaos, and easy occurrence of chaos degradation. In this article, we propose a two-dimensional (2-D) parametric polynomial chaotic system (2D-PPCS) as a general system that can yield many 2-D
Zhongyun Hua +3 more
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Comprehensive Characteristic Decomposition of Parametric Polynomial Systems
Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation, 2021This paper presents an algorithm that decomposes an arbitrary set F of multivariate polynomials involving parameters into finitely many sets Γi of (lexicographical) Grobner bases G ij such that associated with each Γi there is a system Ai of parametric constraints, all the Ai's partition the parameter space, all the Gij's in each Γi remain Grobner ...
Rina Dong +3 more
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Analyzing Boolean Functions via Solving Parametric Polynomial Systems
Journal of Systems Science and Complexity, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Zhenyu, Sun, Yao, Lin, Dongdai
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Minimal polynomial systems for parametric matrices
Linear and Multilinear Algebra, 2012In this article, we study the minimal polynomials of parametric matrices. Using the concept of (comprehensive) Grobner systems for parametric ideals, we introduce the notion of a minimal polynomial system for a parametric matrix, i.e. we decompose the space of parameters into a finite set of cells and for each cell we give the corresponding minimal ...
Amir Hashemi +2 more
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A package for solving parametric polynomial systems
ACM Communications in Computer Algebra, 2010A new Maple package for solving parametric systems of polynomial equations and inequalities is described. The main idea for solving such a system is as follows. The parameter space Rd is divided into two parts: the discriminant variety W and its complement R d nW
Jürgen Gerhard +2 more
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