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Jacobian and Inverse Jacobian Multipliers
2017This chapter is mainly concerned with the existence and regularity of the Jacobian and the inverse Jacobian multipliers of differential systems near a singularity, a periodic orbit, or a polycycle. We will also use the vanishing multiplicity of inverse Jacobian multipliers to study the multiplicity of a limit cycle , or of a homoclinic loop , and the ...
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Annali di Matematica Pura ed Applicata, 1962
This paper develops a theory of Jacobians and partial derivatives based on definitions analogous to that of the ordinary derivative. The definitions lead to well known classes of differentiable functions. The development employs important identities in the theory of determinants.
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This paper develops a theory of Jacobians and partial derivatives based on definitions analogous to that of the ordinary derivative. The definitions lead to well known classes of differentiable functions. The development employs important identities in the theory of determinants.
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1980
Again in this chapter we will assume a certain vague familiarity with the cohomology of sheaves and the theory of line bundles. This material is readily accessible in the modern literature, and some of it can be guessed once one is familiar with Cech cohomology of topological spaces. Our goal in this chapter is to examine in detail the Jacobian variety
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Again in this chapter we will assume a certain vague familiarity with the cohomology of sheaves and the theory of line bundles. This material is readily accessible in the modern literature, and some of it can be guessed once one is familiar with Cech cohomology of topological spaces. Our goal in this chapter is to examine in detail the Jacobian variety
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Implicit function theorem and Jacobians in solvation and adsorption
Physica A: Statistical Mechanics and Its Applications, 2021Seishi Shimizu, Nobuyuki Matubayasi
exaly