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Analytical and data-driven fractional-order malaria transmission model with vector and non-vector pathways. [PDF]
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Communications in Contemporary Mathematics, 2000
Generalized Jacobians are related to the degree theory of mappings \(u:\Omega\to\mathbb{R}^n\), where \(\Omega\subset \mathbb{R}^n\) is an open subset. We can state here only the following (rather technical) main result. Let \(g:\mathbb{R}^m\to S^{n-1}\) be a mapping of finite fractional order Sobolev norm \(g\in W^{1-1/n,n}(\mathbb{R}^m,S^{n-1})
Hang, Fengbo, Lin, Fanghua
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Generalized Jacobians are related to the degree theory of mappings \(u:\Omega\to\mathbb{R}^n\), where \(\Omega\subset \mathbb{R}^n\) is an open subset. We can state here only the following (rather technical) main result. Let \(g:\mathbb{R}^m\to S^{n-1}\) be a mapping of finite fractional order Sobolev norm \(g\in W^{1-1/n,n}(\mathbb{R}^m,S^{n-1})
Hang, Fengbo, Lin, Fanghua
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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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Journal of Optimization Theory and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mounir El Maghri, Youssef Elboulqe
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mounir El Maghri, Youssef Elboulqe
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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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Generalizations of the Jacobian Integral
Celestial Mechanics, 1984The authors discuss some aspects of the generalization of the restricted three-body problem to \(2+n\) bodies. They consider 2 primaries, moving on circular orbits and n smaller bodies which mutually interact but do not influence the primaries. The Hamiltonian describing such a system gives rise to a first integral. For the case \(n=2\), 14 equilibrium
Szebehely, Victor, Whipple, Arthur L.
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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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American Journal of Mathematics, 1993
This paper is devoted to study a series of ``Jacobian duality phenomena'' for the symmetric algebra \(S(E)\) of a module \(E\) over a ring of polynomials. Two cases are mainly considered: the case when the dual of the module \(E\) is an ideal of codimension at least two, and the case of modules whose second Betti number is one. A series of applications
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This paper is devoted to study a series of ``Jacobian duality phenomena'' for the symmetric algebra \(S(E)\) of a module \(E\) over a ring of polynomials. Two cases are mainly considered: the case when the dual of the module \(E\) is an ideal of codimension at least two, and the case of modules whose second Betti number is one. A series of applications
Simis, Aron +2 more
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Approximate Jacobian robot control with adaptive Jacobian matrix
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004In this paper, we present approximate Jacobian feedback control laws for setpoint control of robot with uncertain kinematics from joint space to task space. An adaptive law is proposed to update the approximate Jacobian matrix to improve the performance.
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