Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop by Junning Cai, Minzhi Wei, Guoping Pang

“…In the presented paper, the Abelian integral Ih of a Liénard system is investigated, with a heteroclinic loop passing through a nilpotent saddle. By using a new algebraic criterion, we try to find the least upper bound of the number of limit cycles bifurcating from periodic annulus.…”
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Configuration of Zeros of Isochronous Vector Fields of Degree 5 by Julio Cesar Avila, Montserrat Corbera, Martín Eduardo Frías–Armenta

“…In this paper, we give the algebraic conditions that a configuration of 5 points in the plane must satisfy in order to be the configuration of zeros of a polynomial isochronous vector field. …”
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The Lattice Structure of L-Contact Relations by Xueyou Chen

“…From the point of view of graded truth approach, we define the notion of a contact relation on the collection of all L-sets, discuss the connection to the set of all close, reflexive, and symmetric relations on all L-ultrafilters on X, and investigate the algebraic structure of all L-contact relations.…”
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Solution of the Michaelis-Menten equation using the decompositionmethod by Jagadeesh R. Sonnad, Chetan T. Goudar

“…We present a low-order recursive solution to the Michaelis-Menten equationusing the decomposition method. This solution is algebraic in nature andprovides a simpler alternative to numerical approaches such as differentialequation evaluation and root-solving techniques that are currently used tocompute substrate concentration in the Michaelis-Menten equation. …”
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Gapless topological behaviors in a long-range quantum spin chain by Sheng Yang, Hai-Qing Lin, Xue-Jia Yu

“…We refer to this phase as the algebraic topological phase, which exhibits nontrivial gapless topological behaviors and arises solely from long-range interactions without short-range counterparts. …”
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Soft intersection almost bi-quasi-interior ideals of semigroups by Aslıhan Sezgin, Zeynep BAŞ, Aleyna İlgin

“…Generalizing the ideals of an algebraic structure has shown to be both exciting and valuable to mathematicians. …”
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High Efficiency Computation of the Variances of Structural Evolutionary Random Responses by J.H. Lin, D.K. Sun, W.X. Zhong, W.S. Zhang

“…For structures subjected to stationary or evolutionary white/colored random noise, their various response variances satisfy algebraic or differential Lyapunov equations. The solution of these Lyapunov equations used to be very difficult. …”
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A note on Fibonacci matrices of even degree by Michele Elia

“…The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field. …”
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Approximate Generalized Cubic *-Derivations by Heejeong Koh, Dongseung Kang

“…We will show the general solution of the functional equation f(ax+by)+f(ax-by) = ab2[f(x+y)+f(x-y)]+2a(a2-b2)f(x) and investigate the stability of cubic *-derivations associated with the given functional equation on Banach *-algebras.…”
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On Pure Hyperradical in Semihypergroups by Kostaq Hila, Krisanthi Naka

“…This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. …”
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Average Surface Temperature Over the Circular Disk Heat Source/Sink Embedded in an Insulating Boundary Plane. Analytic Solution. by Pons, William, Pons, Stanley

“…The analytic solution comprises algebraic expressions of tabulated functions.…”
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Derived equivalences of upper-triangular ring spectra via lax limits by Jasso, Gustavo

“…Our result also extends an analogous theorem of Maycock for differential graded algebras. We illustrate the main result with certain canonical equivalences determined by a smooth or proper ring spectrum.…”
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Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials by S. H. Behiry

“…The properties of hybrid of block pulse functions and orthonormal Bernstein polynomials are presented and utilized to reduce the problem to the solution of nonlinear algebraic equations. Numerical examples are introduced to illustrate the effectiveness and simplicity of the present method.…”
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Some Dynamic Inequalities of Hilbert’s Type by A. M. Ahmed, Ghada AlNemer, M. Zakarya, H. M. Rezk

“…The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. …”
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Synchronization in Finite Time of Fuzzy Neural Networks with Hybrid Delays and Uncertain Nonlinear Perturbations by Shuyue Zhao, Kelin Li, Weiyi Hu

“…By applying the famous finite-time stability theory, combining differential inequality techniques, and the analysis approach, several new algebraic sufficient criteria are obtained to realize finite-time synchronization between the drive system and the response system by designing a state feedback controller and an adaptive controller. …”
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Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion by Liguo Chen, Liangui Yang

“…This paper theoretically proves that the formation of squall line in baroclinic nonstatic equilibrium atmosphere can be reduced to the fission process of algebraic gravity solitary waves described by the (2 + 1)-dimensional generalized Boussinesq-BO (B-BO) equation. …”
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The nonexistence of rank 4 IP tensors in signature (1,3) by Kelly Jeanne Pearson, Tan Zhang

“…We show that there exists no algebraic curvature tensor R on V so that its associated skew-symmetric operator R(⋅) has rank 4 and constant eigenvalues on the Grassmannian of nondegenerate 2-planes in V.…”
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Efficient algorithms for solving nonlinear Volterra integro-differential equations with two point boundary conditions by L. E. Garey, R. E. Shaw

“…In this paper a collection of efficient algorithms are described for solving an algebraic system with a symmetric Toeplitz coecient matrix. …”
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Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments by Burcu Gürbüz, Mehmet Sezer, Coşkun Güler

“…This method transforms the considered problem to a matrix equation which corresponds to a system of linear algebraic equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. …”
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Predecessors Existence Problems and Gardens of Eden in Sequential Dynamical Systems by Juan A. Aledo, Luis G. Diaz, Silvia Martinez, Jose C. Valverde

“…In particular, we solve algebraically such problems in sequential dynamical systems on maxterm and minterm Boolean functions. …”
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