= Lyapunov–Schmidt reduction
{wiki=Lyapunov–Schmidt_reduction}
Lyapunov-Schmidt reduction is a mathematical technique used primarily in the study of nonlinear partial differential equations and variational problems. The method provides a systematic approach to reduce the dimensionality of a problem by separating variables or components, often in the context of finding solutions or studying bifurcations. \#\#\# Key Concepts: 1. **Nonlinear Problems**: The method is typically applied to solve nonlinear equations that are challenging to analyze directly due to the complexity introduced by nonlinearity.
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