Dissipative effects in piecewise linear dynamics

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2 Citations (Scopus)


This work revisits a couple of well-known piecewise linear oscillators pointing out several unnoticed properties. In particular, for one of these oscillators we study under what conditions bounded motions are possible and investigate the effect of viscous damping on its trajectories. The article complements a relatively recent paper by Capecchi [10] and presents a non-trivial counterexample to the wide-spread belief according to which chaos is ubiquitous in piecewise linear systems.

Original languageEnglish
Pages (from-to)163-177
Number of pages15
JournalDiscrete and Continuous Dynamical Systems - Series B
Issue number2
Publication statusPublished - 1 May 2003
Externally publishedYes


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