Homoclinic Trajectories in Discontinuous Systems


We study bifurcations of bounded solutions from homoclinic orbits for time-perturbed discontinuous systems. Functional analytic method is used. An illustrative example of a periodically perturbed piecewise linear differential equation in \(\mathbb{R}^3\) is presented.


Homoclinic solutions discontinuous systems 

AMS Subject Classifications

34C23 34C37 37G20 


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© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Dipartimento di Scienze MatematicheUniversità Politecnicà delle MarcheAnconaItaly
  2. 2.Department of Mathematical Analysis and Numerical MathematicsComenius UniversityBratislavaSlovakia

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