Mechanical Systems with Singular Equilibria and the Coulomb Dynamics of Three Charges
Sign Up to like & getrecommendations! Published in 2018 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-018-1519-7
Abstract: We consider mechanical systems for which the matrices of second partial derivatives of the potential energies at equilibria have zero eigenvalues. It is assumed that their potential energies are holomorphic functions in these singular equilibrium… read more here.
Keywords: coulomb dynamics; equilibria coulomb; mechanical systems; systems singular ... See more keywords
Singular Points of Polynomial Darboux Systems
Sign Up to like & getrecommendations! Published in 2019 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-019-00319-7
Abstract: We study the singular points of the differential systems of the form $$\dot{x}= x+P(x,y), \ \dot{y}=y+Q(x,y)$$x˙=x+P(x,y),y˙=y+Q(x,y) where P(x, y) and Q(x, y) are homogeneous polynomials of degree n. read more here.
Keywords: systems singular; points polynomial; singular points; polynomial darboux ... See more keywords
Harmonic wavelets based response evolutionary power spectrum determination of linear and nonlinear structural systems with singular matrices
Sign Up to like & getrecommendations! Published in 2021 at "Mechanical Systems and Signal Processing"
DOI: 10.1016/j.ymssp.2020.107203
Abstract: Abstract A new approximate analytical technique is proposed for determining the response evolutionary power spectrum (EPS) of stochastically excited structural multi-degree-of-freedom (MDOF) linear and nonlinear systems with singular matrices. Such systems can appear, indicatively, when… read more here.
Keywords: evolutionary power; response; singular matrices; systems singular ... See more keywords
Existence results for Kirchhoff type systems with singular nonlinearity
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DOI: 10.7494/opmath.2018.38.2.187
Abstract: Using the method of sub-super solutions, we study the existence of positive solutions for a class of singular nonlinear semipositone systems involving nonlocal operator. read more here.
Keywords: singular nonlinearity; type systems; systems singular; existence results ... See more keywords