Stability of limit cycles and bifurcations of generalized van der Pol oscillators: \(\ddot X+AX-2BX^ 3+\epsilon (z_ 3+z_ 2X^ 2+z_ 1X^ 4)\dot X=0\)

DOI10.1016/0020-7462(90)90005-TzbMath0732.70015OpenAlexW2031172349MaRDI QIDQ808741

J. Garcia-Margallo, J. D. Bejarano

Publication date: 1990

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(90)90005-t

zbMATH Keywords

stabilitylimit cyclesbifurcationsJacobian elliptic functionsvan der Pol oscillator

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability for nonlinear problems in mechanics (70K20) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)

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