Stability and bifurcation of the birth of invariant tori for an equilibrium state of an essentially nonlinear second-order differential equation |
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| Authors: | A A Dorodenkov |
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| Institution: | 1.St. Petersburg State University,St. Petersburg,Russia |
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| Abstract: | Small periodic perturbations of the oscillator ẍ + x
2sgnx = 0 are considered, where
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$
\operatorname{sgn} x = \left\{ {{*{20}c}
{1 if x > 0} \\
{0 if x = 0} \\
{ - 1 if x < 0.} \\
} \right.
$
\operatorname{sgn} x = \left\{ {\begin{array}{*{20}c}
{1 if x > 0} \\
{0 if x = 0} \\
{ - 1 if x < 0.} \\
\end{array} } \right.
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| Keywords: | |
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