Differential Equations, Dynamical Systems, and an Introduction to Chaos

By Morris W. Hirsch, Steve Smale, R. Devaney. 2003

1,487 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3b1294086d8963788ba27031d1962bd9d6f42702

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Statistical and Nonlinear Physics

1. Barbara L. Fredrickson
2. Hod Lipson
3. Marcial Losada

Citations in the corpus

• Positive affect and the complex dynamics of human flourishing. (2005, background): “Uniting existing theory on positive emotion (Fredrickson, 1998, 2001) with the mathematics of nonlinear dynamics (Hirsch et al., 2004; Lai & Ye, 2003; Losada, 1999), we make the following seven predictions: 1.”
• Automated refinement and inference of analytical models for metabolic networks (2011, methodology): “This provides some insights into the metabolic ) [40, 41] Linear Static Between localized and comprehensive Dynamic metabolic control analysis (dMCA) [42–44] Linear Static Cybernetic modeling [47] Nonlinear Dynamic Biochemical systems theory (S-Systems approach) [45, 46] Nonlinear Dynamic Localized…”