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Figure 4 | Boundary Value Problems

Figure 4

From: Homoclinic and heteroclinic solutions for a class of second-order non-autonomous ordinary differential equations: multiplicity results for stepwise potentials

Figure 4

In the present figure we have considered the superposition of (2.6) and (2.7) fork=1, μ 1 =4, μ 0 =1/4. The closed curves α, β, γ, δ represent four different level lines of system (2.7): the curves α and β in correspond to a level c] 1 , [, while γ and δ in refer to c] , 0 [. In order to describe a connection from an unstable manifold to a stable one of system (2.6) via an orbit path of (2.7), we have marked with a black circle possible starting points and with a grey square some available end points on the same level lines.

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