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Online energy consumption forecast for battery electric buses using a learning-free algebraic method [PDF]

Scientific Reports
Accurately predicting the energy consumption plays a vital role in battery electric buses (BEBs) route planning and deployment. Based on the algebraic derivative estimation, we present a novel method to forecast the energy consumption in real time.
Zejiang Wang, Guanhao Xu, Ruixiao Sun, Anye Zhou, Adian Cook, Yuche Chen   +5 more
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Cycles in Algebraic Systems [PDF]

Proceedings of the American Mathematical Society, 1956
2. Cycles and their terminology. Let L be an n Xn Latin square or, alternatively, let Q be a quasigroup of order n. Let M be the set of n2 ordered triplets ijk, where k is the entry in the ith row and jth column of L. If S is the set of n2 ordered pairs ij, and if rir: M->S is the projection parallel to the ith coordinate (for example, ir2(ijk) =ik ...
Norton, D. A., Stein, Sherman K.
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The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We consider planar polynomial systems of ordinary differential equations of the form $\dot x = x + P_n(x,y)$, $\dot y = y + Q_n(x,y)$, where $P_n(x,y),\ Q_n(x,y)$ are homogeneous polynomials of degree $n$.
Vladimir Cheresiz, Evgenii Volokitin
doaj   +1 more source

Algebraic equivalence of real algebraic cycles [PDF]

Annales de l'Institut Fourier, 1999
Given a compact nonsingular real algebraic variety we study the algebraic cohomology classes given by algebraic cycles algebraically equivalent to zero.
Abánades, Miguel Angel, Kucharz, Wojciech   +1 more
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Real rectifiable currents, holomorphic chains and algebraic cycles

Complex Manifolds, 2021
We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains.
Teh Jyh-Haur, Yang Chin-Jui
doaj   +1 more source

Rational Limit Cycles on Abel Polynomial Equations

Mathematics, 2020
In this paper we deal with Abel equations of the form d y / d x = A 1 ( x ) y + A 2 ( x ) y 2 + A 3 ( x ) y 3 , where A 1 ( x ) , A 2 ( x ) and A 3 ( x ) are real polynomials and A 3 ≢ 0 .
Claudia Valls
doaj   +1 more source

Algebraic theory of quantum synchronization and limit cycles under dissipation

SciPost Physics, 2022
Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been found. We develop
Berislav Buca, Cameron Booker, Dieter Jaksch
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Polynomial differential systems with hyperbolic algebraic limit cycles

Electronic Journal of Qualitative Theory of Differential Equations, 2020
For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or equal $n$, by introducing functions which are solutions of certain partial differential equations.
Salah Benyoucef
doaj   +1 more source

Cycles on Algebraic Varieties [PDF]

Nagoya Mathematical Journal, 1955
In the present note, applying the theory of harmonic integrals, we shall show some results on cycles on algebraic varieties and give a new birational invariant.
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Mixed motives and algebraic cycles III [PDF]

Mathematical Research Letters, 1995
For part I see M. Hanamura, Math. Res. Lett. 2, No. 6, 811-821 (1995; Zbl 0867.14003). In this third part of the author's series of articles on mixed motives and algebraic cycles, the author applies his previous constructions to another crucial conjecture in the theory of motives, namely to the conjecture of the existence of the so-called ``abelian ...
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