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Normally hyperbolic invariant manifolds near strong double resonance
hyperbolic invariant manifolds near strong double resonance
2015/9/25
Normally hyperbolic invariant manifolds near strong double resonance.
The task of constructing higher-dimensional invariant manifolds for dynamical systems can
be computationally expensive. We demonstrate that this problem can be locally reduced to
solving a system of...
Discrete breathers on symmetry-determined invariant manifolds for scalar models on the plane square lattice
Discrete breathers symmetry-determined invariant manifolds scalar models plane square lattice
2011/7/5
A group-theoretical approach for studying localized periodic and quasiperiodic vibrations in 2D
and 3D lattice dynamical models is developed. This approach is demonstrated for the scalar mod-
els on...
Geometric shape of invariant manifolds for a class of stochastic partial differential equations
Stochastic partial differential equation invariant manifolds geometric shape
2010/12/6
Invariant manifolds play an important role in the study of the qualitative dynamical behaviors for nonlinear stochastic partial differential equations. However, the geometric shape of
these manifolds...