Hybrid Systems Forming Strange Billiards

DOI10.1142/S0218127403008090zbMath1046.37019MaRDI QIDQ3046553

Karsten Peters, Ulrich Parlitz

Publication date: 12 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

chaosmanufacturing systemshybrid systemspiecewise linear mapsdynamical behaviorborder collision bifurcationpiecewise defined continuous time evolution processesstrange billiardsswitched flow systems

Mathematics Subject Classification ID

Related Items (6)

On the decidability and complexity of problems for restricted hierarchical hybrid systems ⋮ Chaos in coupled heteroclinic cycles and its piecewise-constant representation ⋮ Lyapunov exponents computation for hybrid neurons ⋮ Limit cycles and chaotic invariant sets in autonomous hybrid planar systems ⋮ Switched flow systems: pseudo billiard dynamics ⋮ Bifurcation in a system of imnteracting fronts

Cites Work

• The entropy of 'strange' billiards inside n-simplexes
• Periodicity and chaos from switched flow systems: contrasting examples of discretely controlled continuous systems
• Chaos and complexity in a simple model of production dynamics

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