@article{70bc4af075a24292afdbd94c894341c2,
title = "Nonstandard Hamiltonian structures of the Li{\'e}nard equation and contact geometry",
abstract = "The construction of nonstandard Lagrangians and Hamiltonian structures for Li{\'e}nard equations satisfying Chiellini condition is presented and their connection to time-dependent Hamiltonian formalism is shown. We also show that such nonstandard Lagrangians are deformations of simpler standard Lagrangians. We also exhibit their connection with contact Hamiltonian mechanics.",
keywords = "contact structure, deformed Lagrangian, nonstandard Hamiltonian, Reeb vector field",
author = "Cari{\~n}ena, {Jos{\'e} F.} and Partha Guha",
note = "Funding Information: One of us (PG) wishes to thank Anindya Ghose Choudhury for many enlighting discussions, he also gratefully acknowledges the Organizing Committee of the XXV International Fall Workshop of Geometry and Physics, ICMAT Madrid, August 30 September 02, 2016, for their kind invitation and gracious hospitality. He is also grateful to Dynamics of Complex Systems 2016 programme at ICTS-TIFR (ICTS/Prog-dcs/2016/05) and Department of Theoretical Physics, University of Zaragoza for their hospitality where part of the work has been done. JFC acknowledges partial financial support by the research projects MTM2015-64166-C2-1-P (MINECO) and DGA E24/1. Publisher Copyright: {\textcopyright} 2019 World Scientific Publishing Company.",
year = "2019",
month = feb,
day = "1",
doi = "10.1142/S0219887819400012",
language = "British English",
volume = "16",
journal = "International Journal of Geometric Methods in Modern Physics",
issn = "0219-8878",
publisher = "World Scientific Publishing Co. Pte Ltd",
}