Control aspects in nonlinear Hill's equation

Communications in Nonlinear Science and Numerical Simulation

Volumn 16, Issue 5, 2011, Pages 2328-2331

  Barbanti, L ^a   Damasceno, B C ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

Controlled Hill's equation; Nonlinear Hill's equation; Periodic solutions; Stability

Indexed keywords

CONTROL NONLINEARITIES; NONLINEAR EQUATIONS;

CHAOTICS; CONTROL ASPECTS; CONTROLED HILL EQUATION; HILLS' EQUATIONS; NONLINEAR HILL EQUATION; PERIODIC SOLUTION;

LINEAR SYSTEMS;

EID: 78649333574     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2010.04.061     Document Type: Article

References (6)

1. Magnus W., Winkler S. Hill's equation 1966, J. Wiley, New York.
2. Alfimov G.L., Konotop V.V. On the existence of gap solitons. Physica D 2000, 146:307-327.
3. Alfimov G.L., Konotop V.V., Salerno M. Matter solitons in Bose-Einstein condensates with optical lattices. Europhys. Lett. 2002, 58:7-13.
4. Mahmoud G.M., Bountis T., Ahmed S.A. Stability analysis for systems of nonlinear Hill's equations. Physica A 2000, 286:133-146.
5. Torres P.J. Non-trivial periodic solutions of a non-linear Hill's equation with positively homogeneous term. Nonlinear An. 2005, 841-844.
6. Damasceno BC, Barbanti L. Adaptive control in Hill's equations [preprint].