Chaos in a Pendulum with Variable Length

Lakshmi Burra ()
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Lakshmi Burra: Jawaharlal Nehru Technological University, Department of Mathematics

Chapter Chapter 4 in Chaotic Dynamics in Nonlinear Theory, 2014, pp 79-101 from Springer

Abstract: Abstract In the next application, we prove the presence of chaotic dynamics for a pendulum with variable Length. This is done as in the case of a vertically driven planar pendulum in the general setting of topological spaces using the theory of topological horseshoes, linked twist maps and phase-plane analysis. This also deals with maps which possess a property of stretching along the paths with respect to oriented cells.

Keywords: Stepwise function; Poincaré map; Hamiltonian system; Heteroclinic orbits. (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-2092-3_4

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DOI: 10.1007/978-81-322-2092-3_4

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