Small periodic perturbations of autonomous self-oscillating planar systems

We study bifurcations from sliding homoclinic solutions to bounded solutions onℝfor certain discontinuous planar systems under periodic perturbations. Sufficient conditions are derived for such perturbation problems.

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Small periodic perturbations of a class of conservative systems

Journal of Differential Equations ◽

10.1016/0022-0396(73)90003-x ◽

1973 ◽

Vol 13 (3) ◽

pp. 438-456 ◽

Cited By ~ 9

Author(s):

A.C Lazer

Keyword(s):

Periodic Perturbations ◽

Conservative Systems ◽

Small Periodic

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Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/46/23/235203 ◽

2013 ◽

Vol 46 (23) ◽

pp. 235203 ◽

Cited By ~ 16

Author(s):

Denis Borisov ◽

Konstantin Pankrashkin

Keyword(s):

Periodic Perturbations ◽

Quantum Waveguides ◽

Small Periodic

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On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2013.33.2593 ◽

2013 ◽

Vol 33 (6) ◽

pp. 2593-2619 ◽

Cited By ~ 5

Author(s):

Junxiang Xu ◽

Keyword(s):

Equilibrium Point ◽

Hyperbolic Type ◽

Periodic Perturbations ◽

Degenerate Equilibrium ◽

Planar Systems

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Control of chaos in multimode solid state lasers by the use of small periodic perturbations

Physical Review E ◽

10.1103/physreve.53.200 ◽

1996 ◽

Vol 53 (1) ◽

pp. 200-206 ◽

Cited By ~ 34

Author(s):

Pere Colet ◽

Y. Braiman

Keyword(s):

Solid State ◽

Solid State Lasers ◽

Control Of Chaos ◽

Periodic Perturbations ◽

Small Periodic

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Periodic perturbations with rotational symmetry of planar systems driven by a central force

Journal of Differential Equations ◽

10.1016/j.jde.2018.02.009 ◽

2018 ◽

Vol 264 (12) ◽

pp. 7055-7068 ◽

Cited By ~ 3

Author(s):

Alessandro Fonda ◽

Anna Chiara Gallo

Keyword(s):

Rotational Symmetry ◽

Central Force ◽

Periodic Perturbations ◽

Planar Systems

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Hydrodynamic and thermal characteristics of systems of porous cooling in the presence of small periodic perturbations

Journal of Engineering Physics and Thermophysics ◽

10.1007/bf00867960 ◽

1994 ◽

Vol 66 (6) ◽

pp. 622-627 ◽

Cited By ~ 2

Author(s):

A. N. Golovanov

Keyword(s):

Thermal Characteristics ◽

Periodic Perturbations ◽

Small Periodic

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Stability of plane Couette flows with respect to small periodic perturbations

Nonlinear Analysis ◽

10.1016/j.na.2009.02.034 ◽

2009 ◽

Vol 71 (9) ◽

pp. 3739-3758 ◽

Cited By ~ 7

Author(s):

Horst Heck ◽

Hyunseok Kim ◽

Hideo Kozono

Keyword(s):

Periodic Perturbations ◽

Small Periodic

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