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EXISTENCE OF HOPF BIFURCATION PROBLEMS WITH JUMPING NONLINEARITIES

EXISTENCE OF HOPF BIFURCATION PROBLEMS WITH JUMPING NONLINEARITIES
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摘要 In this paper, we consider the system where A(λ) is a linear transformation on Rn for each λ, α (λ,x) is an operator from R × Rn to Rn and λ is a real parameter. We examine large periodic solutions and drop the assumption of continuity of a(λ,x) near the origin. We consider what happens if a pair of eigenvalues of the linear part of the right hand side in (0. 1) crosses the imaginary axis for large where denotes the norm in Rn. In this paper, we consider the system where A(λ) is a linear transformation on Rn for each λ, α (λ,x) is an operator from R × Rn to Rn and λ is a real parameter. We examine large periodic solutions and drop the assumption of continuity of a(λ,x) near the origin. We consider what happens if a pair of eigenvalues of the linear part of the right hand side in (0. 1) crosses the imaginary axis for large where denotes the norm in Rn.
出处 《Annals of Differential Equations》 1995年第2期127-146,共15页 微分方程年刊(英文版)
关键词 Hopf bifurcation at infinity periodic sloutions jumping nonlinearities Hopf bifurcation at infinity periodic sloutions jumping nonlinearities
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