Oscillations with one degree of freedom and discontinuous energy
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Abstract
In 1995 for a linear oscillator, Myshkis imposed a constant impulse to the velocity, each moment the energy reaches a certain level. The main feature of the resulting system is that it defines a nonlinear discontinuous semigroup. In this note we study the orbital stability of a one-parameter family of periodic solutions and state the existence of a period-doubling bifurcation of such solutions.
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Bifurcation, Discontinuous energy, Orbital stability, Periodic solutions
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English
Citation
Electronic Journal of Differential Equations, v. 2015.
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