Forced linear oscillators and the dynamics of Euclidean group extensions

DOI10.3934/dcdss.2016049zbMath1366.37008OpenAlexW2515510942MaRDI QIDQ317121

Mahesh G. Nerurkar

Publication date: 30 September 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2016049

zbMATH Keywords

cocycles into Euclidean groupsergodic skew productforced linear oscillator

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Linear ordinary differential equations and systems (34A30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Cites Work

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• Mixing for the time-changes of Heisenberg nilflows
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• Construction of ergodic cocycles that are fundamental solutions to linear systems of a special form
• Euclidean extensions of dynamical systems
• Transitivity of Euclidean-type extensions of hyperbolic systems
• On the construction of smooth ergodic skew-products
• Noncompact drift for relative equilibria and relative periodic orbits
• Stability of oscillators driven by ergodic processes
• Spectral and stability aspects of quantum chaos
• Large deviations for generic stationary processes
• Transitivity of Euclidean extensions of Anosov diffeomorphisms
• Symmetric Attractors for Diffeomorphisms and Flows

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