Differential Equations, Dynamical Systems, and an Introduction to Chaos¶
Hirsch, M. W., Smale, & Devaney, R. L. (2013). Differential Equations, Dynamical Systems, and an Introduction to Chaos. Academic Press.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Recurrence
- The concept emerges from mathematics (recurrence relations, Fibonacci sequences, iterative algorithms, difference equations) and generalizes across physics (Poincaré recurrence theorem, periodic orbits, return times in dynamical systems), biology and ecology (cyclic life stages, population oscillations, seasonal migration patterns, gene expression cycles), medicine (recurrent illness, relapse, remission cycles), epidemiology (seasonal disease patterns), business (recurring revenue, subscription models), software engineering (cron jobs, recurring meetings, recurring bugs), narrative theory (refrains, callbacks), and liturgy (calendar cycles), as Hirsch, Smale, and Devaney (2013) survey across mathematical and applied dynamical systems.
This sourceStandard graduate text: surveys recurrence and return dynamics across mathematical, physical, ecological, and applied domains, unifying continuous and discrete-time formulations.
- The concept emerges from mathematics (recurrence relations, Fibonacci sequences, iterative algorithms, difference equations) and generalizes across physics (Poincaré recurrence theorem, periodic orbits, return times in dynamical systems), biology and ecology (cyclic life stages, population oscillations, seasonal migration patterns, gene expression cycles), medicine (recurrent illness, relapse, remission cycles), epidemiology (seasonal disease patterns), business (recurring revenue, subscription models), software engineering (cron jobs, recurring meetings, recurring bugs), narrative theory (refrains, callbacks), and liturgy (calendar cycles), as Hirsch, Smale, and Devaney (2013) survey across mathematical and applied dynamical systems.
Verification¶
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