Homoclinical Structure of Dynamic Equations on Time Scales
Mehmet Onur Fen
TL;DR
This paper investigates homoclinic and heteroclinic motions in dynamic equations on a specific type of time scale composed of disjoint compact intervals, supported by a numerical example.
Contribution
It introduces analysis of homoclinic and heteroclinic motions on a special time scale structure, providing new theoretical insights and numerical validation.
Findings
Theoretical results on homoclinic and heteroclinic motions
Numerical example supporting the theory
Analysis specific to time scales with disjoint compact intervals
Abstract
Homoclinic and heteroclinic motions in dynamics equations on time scales is investigated. The utilized time scale is a specific one such that it is a union of disjoint compact intervals. A numerical example that supports the theoretical results is presented.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Stability and Controllability of Differential Equations · Numerical methods for differential equations