Results 21 to 30 of about 23,327 (265)
The global dynamics of a class of nonlinear vector fields in $\mathbb{R}^3$
In this paper, we study the geometric properties of a class of nonlinear polynomial vector fields in $\mathbb{R}^3$. By virtue of their induced vector fields, their global topological structures are discussed and we get that there are at least 82 types
Jinhui Zhang +2 more
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Covariants, Invariant Subsets, and First Integrals [PDF]
Let $k$ be an algebraically closed field of characteristic 0, and let $V$ be a finite-dimensional vector space. Let $End(V)$ be the semigroup of all polynomial endomorphisms of $V$.
Frank Grosshans, Hanspeter Kraft
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Generic polynomial vector fields are not integrable
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Maciejewski, Andrzej J +2 more
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Explicit Geometric Integration of Polynomial Vector Fields [PDF]
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Mclachlan, Robert Iain. +1 more
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A Fast Parameter Estimation Algorithm for Near-field Non-circular Signals
In this paper, a fast parameter estimation algorithm for near-field non-circular signals is proposed, which is based on symmetric, uniform, and linear array, that decouple the near-field steering vector via non-circularity and symmetry.
Jiaqi SONG, Haihong TAO
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On Polynomial Hamiltonian Planar Vector Fields
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Cima, A., Gasull, A., Manosas, F.
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This paper describes evolution of new active element that is able to significantly simplify the design process of lumped chaotic oscillator, especially if the concept of analog computer or state space description is adopted.
Jiri Petrzela, Roman Sotner
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With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
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Equivariant decomposition of polynomial vector fields [PDF]
To compute the unique formal normal form of families of vector fields with nilpotent linear part, we choose a basis of the Lie algebra consisting of orbits under the action of the nilpotent linear part. This creates a new problem: to find explicit formulas for the structure constants in this new basis. These are well known in the 2D case, and recently
Mokhtari, Fahimeh, Sanders, J.A.
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Correction to Generic polynomial vector fields are not integrable
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Maciejewski, Andrzej J. +2 more
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