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Kukles Systems of Degree Three with Global Centers
A global center of a vector field in the plane is an equilibrium point such that the whole plane with the exception of the equilibrium point is...
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On the Connection Between Global Centers and Global Injectivity in the Plane
In this note we revisit a result of Sabatini relating global injectivity of polynomial maps to global centers in the plane. We deliver a...
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Global Phase Portraits of Uniform Isochronous Centers System of Degree Six with Polynomial Commutator
This paper studies the global phase portraits of uniform isochronous centers system of degree six with polynomial commutator. Such systems have the...
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Chapter 1 Centers and Limit Cycles
In this chapter I want to give a general background to the center-focus problem, and then to show why the problem is interesting: both in what it...
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Retraction Note: Proof of the Jacobian Conjecture in the Two-Dimensional Case and Global Isochronous Centers of Polynomial Hamiltonian Differential Systems
This article has been retracted. Please see the Retraction Notice for more detail: https://doi.org/10.1134/S001226612303014X
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Towards stability results for global radial basis function based quadrature formulas
Quadrature formulas (QFs) based on radial basis functions (RBFs) have become an essential tool for multivariate numerical integration of scattered...
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Global Bifurcation Analysis of Generalized Liénard Polynomial Dynamical System
Using a bifurcation geometric approach, we study the global dynamics and solve the problem on the maximum number and distribution of limit cycles in...
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Energy-Stable Global Radial Basis Function Methods on Summation-By-Parts Form
Radial basis function methods are powerful tools in numerical analysis and have demonstrated good properties in many different simulations. However,...
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Placing a Global Mathematical Literature
The problem of comprehensive and timely mathematical bibliography was at the forefront of mathematicians’ international and global ambitions in the...
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Global Solutions and Interactions of Non-selfsimilar Elementary Waves for n-D Non-homogeneous Burgers Equation
We investigate the global structures of the non-selfsimilar solutions for n -dimensional ( n -D) non-homogeneous Burgers equation, in which the initial...
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Global optimization for cardinality-constrained minimum sum-of-squares clustering via semidefinite programming
The minimum sum-of-squares clustering (MSSC), or k-means type clustering, has been recently extended to exploit prior knowledge on the cardinality of...
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Global algorithm for effectively solving min-max affine fractional programs
This article investigates solving the min-max affine fractional programming problem (MAFPP), which arises in systems science and engineering. For...