Homoclinic tangencies and non-normal Jacobians-effects of noise in nonhyperbolic chaotic systems

DOI10.1016/S0167-2789(97)00247-9zbMath0933.37021OpenAlexW2159363140MaRDI QIDQ1963285

Lars Jaeger, Holger Kantz

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)00247-9

zbMATH Keywords

noiseattractorinvariant measureLyapunov exponentIkeda systemDuffing systemhomoclinic tangenciesHénon system3-flowsnonhyperbolic chaotic two-dimensional mapsunstable and stable foliation

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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