scholarly journals Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation

2017 ◽  
Vol 22 (6) ◽  
pp. 2465-2478 ◽  
Author(s):  
A. Ghose Choudhury ◽  
◽  
Partha Guha ◽  
Keyword(s):  
Integrability Condition ◽  
Liénard Equation ◽  
Hamiltonian Structures ◽  
Isochronous Systems ◽  
Lienard Equation

scholarly journals Nonstandard Hamiltonian structures of the Liénard equation and contact geometry

2019 ◽  
Vol 16 (supp01) ◽  
pp. 1940001 ◽  
Author(s):  
José F. Cariñena ◽  
Partha Guha
Keyword(s):  
Hamiltonian Formalism ◽  
Contact Geometry ◽  
Time Dependent ◽  
Liénard Equation ◽  
Hamiltonian Mechanics ◽  
Hamiltonian Structures ◽  
Liénard Equations ◽  
Lienard Equation

The construction of nonstandard Lagrangians and Hamiltonian structures for Liénard 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.

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