Dissipative effects in piecewise linear dynamics

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume3
Issue number2
DOIs
Publication statusPublished - 1 May 2003
Externally publishedYes

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Piecewise Linear
Chaos theory
Linear systems
Damping
Trajectories
Piecewise Linear Systems
Counterexample
Chaos
Complement
Trajectory
Motion
Beliefs

Cite this

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Dissipative effects in piecewise linear dynamics. / Coman, Ciprian D.

In: Discrete and Continuous Dynamical Systems - Series B, Vol. 3, No. 2, 01.05.2003, p. 163-177.

Research output: Contribution to journalArticle

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