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What is Center Manifold Theory Overview about?

1) The document presents notes on center manifold theory, which describes the behavior of systems near non-hyperbolic equilibria. It introduces theorems on the existence of an invariant manifold and the stability of the full system relating to the stability of the reduced system. 2) Discrete-time models and methods for analyzing stability like cobweb diagrams are discussed. Cycles are defined and analytical methods for their detection presented. 3) As an example, period doubling bifurcations leading to c

Author

SB

Language

EN