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Machine learning and bifurcation analysis in a discrete predator-prey model with neem-induced mortality. [PDF]
Sci RepMehmood T +3 more
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Model-agnostic linear-memory online learning in spiking neural networks. [PDF]
Nat CommunWang C +7 more
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Dissecting heterogeneous brain development and aging using voxelwise normative models
Chavanne AV +12 more
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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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