Example of a suspension bridge ODE model exhibiting chaotic dynamics: A topological approach |
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Authors: | Anna Pascoletti |
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Affiliation: | University of Udine, Department of Mathematics and Computer Science, via delle Scienze 206, 33100 Udine, Italy |
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Abstract: | Using an elementary phase-plane analysis combined with some recent results on topological horseshoes and fixed points for planar maps, we prove the existence of infinitely many periodic solutions as well as the presence of chaotic dynamics for a simple second order nonlinear ordinary differential equation arising in the study of Lazer-McKenna suspension bridges model. |
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Keywords: | Nonlinear second order ODEs Lazer-McKenna suspension bridge model Periodic solutions Chaotic dynamics Time-maps Linked twist mappings |
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