Non-periodic damped vibration systems with sublinear terms at infinity: Infinitely many homoclinic orbits

2013 ◽  
Vol 92 ◽  
pp. 168-176 ◽  
Author(s):  
Guanwei Chen
Keyword(s):  
Homoclinic Orbits ◽  
Damped Vibration Systems

scholarly journals Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Guanwei Chen
Keyword(s):  
Homoclinic Orbits ◽  
Fountain Theorem ◽  
Variant Fountain Theorem ◽  
Damped Vibration Systems

We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou. To the best of our knowledge, there is no result published concerning the existence (or multiplicity) of nontrivial homoclinic orbits for this class of non-periodic damped vibration systems with asymptotically quadratic terms at infinity.

scholarly journals Even homoclinic orbits for a class of damped vibration systems

2017 ◽  
Vol 28 (6) ◽  
pp. 1111-1125
Author(s):  
Khelifi Fathi ◽  
Mohsen Timoumi
Keyword(s):  
Homoclinic Orbits ◽  
Damped Vibration Systems

scholarly journals On homoclinic orbits for a class of damped vibration systems

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Juntao Sun ◽  
Juan J Nieto ◽  
Mario Otero-Novoa
Keyword(s):  
Homoclinic Orbits ◽  
Damped Vibration Systems

scholarly journals A Melnikov Method for Homoclinic Orbits with Many Pulses

1998 ◽  
Vol 143 (2) ◽  
pp. 105-193 ◽  
Author(s):  
Roberto Camassa ◽  
Gregor Kovačič ◽  
Siu-Kei Tin
Keyword(s):  
Melnikov Method ◽  
Homoclinic Orbits
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