An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum
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Publication:1208007
DOI10.1007/BF02096956zbMath0765.70016OpenAlexW2007551203MaRDI QIDQ1208007
Amadeu Delshams, Teresa M. Seara
Publication date: 16 May 1993
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02096956
Forced motions for nonlinear problems in mechanics (70K40) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)
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Cites Work
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- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The separation of motions in systems with rapidly rotating phase
- Splitting of separatrices for standard and semistandard mappings
- The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
- New aspects in the theory of stability of Hamiltonian systems
- Melnikov's method and averaging
- Normalization of a Hamiltonian system near an invariant cycle or torus
- Exponentially small splittings in Hamiltonian systems
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