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Showing 1 to 2 of 2 for “"center manifolds"”.

  1. Center Manifold Dynamics in Randomly Coupled Oscillators and in Cochlea

    … at least one eigenvalue with zero real part. The center manifold existence theorem guarantees the local existence of an invariant subspace of the activity, known as a center manifold, around nonhyperbolic fixed points. A growing number of theoretical and experimental studies suggest that neural …

    rockefeller Repository record for Center Manifold Dynamics in Randomly Coupled Oscillators and in Cochlea (opens in a new tab)

  2. A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves

    … (b,λ) â C₁ where 0< b< b₀ are investigated. A center-manifold reduction technique and a normal form analysis are applied to show that for each case the dynamical system can be reduced to a system of ordinary differential equations with finite dimensions. The dominant system for the case (b₀,1) …

    vt Repository record for A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves (opens in a new tab)