The resonance theory for stochastic layers in nonlinear dynamic systems
- 22 June 2001
- journal article
- Published by Elsevier in Chaos, Solitons, and Fractals
- Vol. 12 (13) , 2493-2508
- https://doi.org/10.1016/s0960-0779(00)00225-3
Abstract
No abstract availableKeywords
This publication has 30 references indexed in Scilit:
- ANALYTICAL PREDICTIONS OF CHAOS IN A NON-LINEAR RODJournal of Sound and Vibration, 1999
- Resonant Layers in Nonlinear DynamicsJournal of Applied Mechanics, 1998
- Width of stochastic layers in near-integrable two-dimensional symplectic mapsPhysica D: Nonlinear Phenomena, 1998
- An averaging method for Hamiltonian systems, exponentially close to integrable onesChaos: An Interdisciplinary Journal of Nonlinear Science, 1996
- A refined formula for the separatrix splitting for the standard mapPhysica D: Nonlinear Phenomena, 1994
- Regular and Chaotic DynamicsPublished by Springer Nature ,1992
- Exponentially small splittings in Hamiltonian systemsChaos: An Interdisciplinary Journal of Nonlinear Science, 1991
- Splitting of separatrices for standard and semistandard mappingsPhysica D: Nonlinear Phenomena, 1989
- Exponentially small splittings of separatrices with applications to KAM theory and degenerate bifurcationsContemporary Mathematics, 1988
- A universal instability of many-dimensional oscillator systemsPhysics Reports, 1979