Generalized Lefschetz theorem and a fixed point index formula

DOI10.1016/S0166-8641(97)00037-0zbMath0893.55001MaRDI QIDQ1375160

Roman Srzednicki

Publication date: 24 July 1998

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

periodic solutionfixed point indexLefschetz fixed point theoremnonautonomous differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (4)

Unnamed Item ⋮ Topological approach to rigorous numerics of chaotic dynamical systems with strong expansion of error bounds ⋮ Conley index of Poincaré maps in isolating segments ⋮ Conley Index Approach to Sampled Dynamics

Cites Work

• Local contribution to the Lefschetz fixed point formula
• Zeta functions, periodic trajectories, and the Conley index
• Open index pairs, the fixed point index and rationality of zeta functions
• Index pairs and the fixed point index for semidynamical systems with discrete time
• On the Hopf Index and the Conley Index
• On rest points of dynamical systems
• Continuation Theorems for Periodic Perturbations of Autonomous Systems
• Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
• Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations
• Dynamical systems, shape theory and the Conley index
• The Leray-Schauder index and the fixed point theory for arbitrary ANRs
• On an irreducible 2-dimensional absolute retract
• A generalized Poincaré index formula
• A generalized Poincaré index formula
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized Lefschetz theorem and a fixed point index formula