Exponential trichotomy, orthogonality condition and their application

zbMath0992.34032MaRDI QIDQ1355897

Min Xu, De-Ming Zhu

Publication date: 31 January 2002

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

exponential trichotomyheteroclinic orbitspersistence conditionnonhyperbolic equilibria

Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (6)

Existence and roughness of nonuniform \((h,k,\mu,\nu)\)-trichotomy for nonautonomous differential equations ⋮ Exponential trichotomy and homoclinic bifurcation with saddle-center equilibrium ⋮ Nonlinear criteria for the existence of the exponential trichotomy in infinite dimensional spaces ⋮ Bifurcations of heteroclinic loops ⋮ Generalized Rankine-Hugoniot condition and shock solutions for quasilinear hyperbolic systems ⋮ Trichotomies for abstract semilinear differential equations.

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