### Electronic Research Archive

2020, Issue 1: 127-148. doi: 10.3934/era.2020008

# Decomposition of spectral flow and Bott-type iteration formula

• Received: 01 September 2019 Revised: 01 January 2020
• 58J30, 37B30, 53D12

• Let $A(t)$ be a continuous path of self-adjoint Fredholm operators, we derive a decomposition formula of spectral flow if the path is invariant under a matrix-like cogredient. As applications, we give the generalized Bott-type iteration formula for linear Hamiltonian systems.

Citation: Xijun Hu, Li Wu. Decomposition of spectral flow and Bott-type iteration formula[J]. Electronic Research Archive, 2020, 28(1): 127-148. doi: 10.3934/era.2020008

### Related Papers:

• Let $A(t)$ be a continuous path of self-adjoint Fredholm operators, we derive a decomposition formula of spectral flow if the path is invariant under a matrix-like cogredient. As applications, we give the generalized Bott-type iteration formula for linear Hamiltonian systems.

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