Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies (Q2503186)
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| Language | Label | Description | Also known as |
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| English | Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies |
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Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies (English)
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14 September 2006
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The authors consider \(C^2\)-diffeomorphisms \(\varphi\) on Riemannian surfaces. The goal of the authors is to study the hyperbolic properties of a class of maps exhibiting a homoclinic tangency associated to a fixed saddle point. The authors show that all Lyapunov exponents of all invariant measures are uniformly bounded away from \(0\).
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nonhyperbolic systems
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Lyapunov exponents
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invariant measure
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