scholarly journals The limit cycles of Liénard equations in the strongly nonlinear regime

2000 ◽  
Vol 11 (5) ◽  
pp. 747-756 ◽  
Author(s):  
J.L. López ◽  
R. López-Ruiz
Keyword(s):  
Limit Cycles ◽  
Nonlinear Regime ◽  
Strongly Nonlinear ◽  
Liénard Equations

Dynamics in a confined mass–spring chain with 1∕r repulsive potential: Strongly nonlinear regime

2020 ◽  
Vol 553 ◽  
pp. 124651
Author(s):  
Edgar Avalos ◽  
Amitava Datta ◽  
Anthony D. Rosato ◽  
Denis Blackmore ◽  
Surajit Sen
Keyword(s):  
Nonlinear Regime ◽  
Repulsive Potential ◽  
Strongly Nonlinear ◽  
Mass Spring

scholarly journals BIFURCATION CURVES OF LIMIT CYCLES IN SOME LIÉNARD SYSTEMS

2000 ◽  
Vol 10 (05) ◽  
pp. 971-980 ◽  
Author(s):  
R. LÓPEZ-RUIZ ◽  
J. L. LÓPEZ
Keyword(s):  
Continuous Function ◽  
Limit Cycles ◽  
Nonlinear Regime ◽  
Liénard Systems

Liénard systems of the form [Formula: see text], with f(x) an even continuous function, are considered. The bifurcation curves of limit cycles are calculated exactly in the weak (ε → 0) and in the strongly (ε → ∞) nonlinear regime in some examples. The number of limit cycles does not increase when ε increases from zero to infinity in all the cases analyzed.

Probe Based Shooting Method to Find Stable and Unstable Limit Cycles of Strongly Nonlinear High-$Q$ Oscillators

2013 ◽  
Vol 60 (7) ◽  
pp. 1870-1880 ◽  
Author(s):  
Federico Bizzarri ◽  
Angelo Brambilla ◽  
Giambattista Gruosso ◽  
Giancarlo Gajani
Keyword(s):  
Limit Cycles ◽  
Shooting Method ◽  
High Q ◽  
Strongly Nonlinear
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