Differential Equations Dynamical Systems And An Introduction To Chaos

By D. Fischer. 2016

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Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction (2016, background): “A good reference for this and other forthcoming aspects of linear dynamical systems is Hirsch, Smale and Devaney [24].”
Causation entropy identifies indirect influences, dominance of neighbors and anticipatory couplings (2014, background): “The time points are often chosen to spread uniformly in time or to be the times instances at which the trajectory intersects a given manifold that is transversal to the trajectory, called a Poincaré section [15].”
Ordinary Differential Equations (2018, unknown): “Suppose now that x(t) is a solution of (3) which takes values in U .”