Observational noise in skew product systems

DOI10.1016/S0167-2789(97)00056-0zbMath0933.37014OpenAlexW2039650684MaRDI QIDQ1963269

K. M. Campbell

Publication date: 24 January 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00056-0

zbMATH Keywords

noiseabsorbing setsynchronisationskew product systems

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items

Random and deterministic perturbation of a class of skew-product systems ⋮ Physical measures for certain class of non-uniformly hyperbolic endomorphisms on the solid torus ⋮ Invariant graphs for forced systems ⋮ Non hyperbolic solenoidal thick bony attractors ⋮ Unnamed Item ⋮ An open set of skew products with invariant multi-graphs and bony multi-graphs

Cites Work

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• Cascading synchronized chaotic systems
• Synchronous chaotic behaviour of a response oscillator with chaotic driving
• Bubbling of attractors and synchronisation of chaotic oscillators
• Stability of Lyapunov exponents
• Persistent Manifolds are Normally Hyperbolic
• From attractor to chaotic saddle: a tale of transverse instability
• The existence of inertial functions in skew product systems
• Persistent manifolds are normally hyperbolic
• Synchronization in chaotic systems
• Invariant manifolds

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