“…A similar mechanism including two singular points occurs in a conservative system of a bistable oscillator and a periodic force [4]. The Rikitake system also includes two center-nodes [10].…”
Section: Introductionmentioning
confidence: 99%
“…Elements of bifurcation theory can be found in a number of modern studies [1,[4][5][6][7][9][10][11][12][13]. In [4], it was proposed to use variational equations with coefficients dependent on a partial solution in qualitative analysis.…”
Section: Introductionmentioning
confidence: 99%
“…The domain inside ellipse (13) attracts the trajectory of system (10). This domain generates an attractor.…”
A generator with inertial nonlinearity is considered. The bifurcations are illustrated by simple examples using the comparison method and Lyapunov functions
“…A similar mechanism including two singular points occurs in a conservative system of a bistable oscillator and a periodic force [4]. The Rikitake system also includes two center-nodes [10].…”
Section: Introductionmentioning
confidence: 99%
“…Elements of bifurcation theory can be found in a number of modern studies [1,[4][5][6][7][9][10][11][12][13]. In [4], it was proposed to use variational equations with coefficients dependent on a partial solution in qualitative analysis.…”
Section: Introductionmentioning
confidence: 99%
“…The domain inside ellipse (13) attracts the trajectory of system (10). This domain generates an attractor.…”
A generator with inertial nonlinearity is considered. The bifurcations are illustrated by simple examples using the comparison method and Lyapunov functions
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