A family of optimal excitations for inducing complex dynamics in planar dynamical systems

DOI10.1088/0951-7715/13/1/307zbMath1024.34039OpenAlexW2022443434MaRDI QIDQ4789792

S. M. Booker

Publication date: 15 January 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/1/307

zbMATH Keywords

pendulumMelnikov functionexcitationshomoclinic tangleDuffing's equationplanar dynamical systemshorseshoe dynamics

Mathematics Subject Classification ID

Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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