Oscillations with one degree of freedom and discontinuous energy

Oscillations with one degree of freedom and discontinuous energy

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-paramete...

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Bibliographic Details
Main Authors: Miguel V. S. Frasson, Marta C. Gadotti, Selma H. J. Nicola, Placido Z. Taboas
Format: Article
Language:English
Published: Texas State University 2015-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Periodic solutions
discontinuous energy
orbital stability
bifurcation
Online Access:http://ejde.math.txstate.edu/Volumes/2015/275/abstr.html
Description
Summary: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.
ISSN:1072-6691

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