Geodesics with unbounded speed on fluctuating surfaces

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic orbits of vector fields and flows (37C27) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Flows on surfaces (37E35)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders
Perturbations of geodesic flows by recurrent dynamics
Geodesic flows with positive topological entropy, twist maps and hyperbolicity
A functional analysis approach to Arnold diffusion
A bumpy metric theorem and the Poisson relation for generic strictly convex domains
Arnold diffusion in Hamiltonian systems: a priori unstable case
Unbounded energy growth in Hamiltonian systems with a slowly varying parameter
Generalized exchange lemmas and orbits heteroclinic to invariant manifolds
Generic properties of closed geodesics on smooth hypersurfaces
A surface with positive curvature and positive topological entropy
Variational construction of connecting orbits
Finite energy foliations of tight three-spheres and Hamiltonian dynamics
Drift in phase space: A new variational mechanism with optimal diffusion time
Genericity of geodesic flows with positive topological entropy on \(S^2\)
\(C^ \infty\) genericity of positive topological entropy for geodesic flows on \(S^ 2\).
A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of \(\mathbb{T}^2\)
Generic properties of geodesic flows on analytic hypersurfaces of Euclidean space
Arnold diffusion in a priori chaotic symplectic maps
Dynamics around the double resonance
Geometric properties of the scattering map of a normally hyperbolic invariant manifold
Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows.
Existence of diffusion orbits in a priori unstable Hamiltonian systems
Topological methods in the instability problem of Hamiltonian systems
Fermi acceleration and adiabatic invariants for non-autonomous billiards
ON GENERIC PROPERTIES OF CLOSED GEODESICS
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model
The dynamics of pseudographs in convex Hamiltonian systems
Unbounded growth of energy in nonautonomous Hamiltonian systems
Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse
Evolution of slow variables ina prioriunstable Hamiltonian systems
An approach to arnold's diffusion through the calculus of variations
Topological shadowing methods in arnold diffusion: weak torsion and multiple time scales
Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom
Invariant manifolds
Arnold diffusion in multidimensional convex billiards

This page was built for publication: Geodesics with unbounded speed on fluctuating surfaces

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6580671)