Existence of homoclinic solutions for nonlinear second-order coupled systems
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DOI: 10.1016/j.jde.2018.07.072
Abstract: Abstract This work presents sufficient conditions for the existence of homoclinic solutions for second order coupled discontinuous systems of differential equations on the real line without the usual growth condition in the literature. The arguments… read more here.
Keywords: order coupled; existence homoclinic; homoclinic solutions; solutions nonlinear ... See more keywords
On the existence of homoclinic orbits in n-dimensional piecewise affine systems
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2017.09.006
Abstract: Abstract Based on the mathematical analysis of the stable manifolds, unstable manifolds and solutions of subsystems, this paper provides methodologies to ensure the existence of homoclinic orbits (degenerate and non-degenerate) which cross the switching manifold… read more here.
Keywords: existence homoclinic; homoclinic orbits; affine systems; piecewise affine ... See more keywords