Analysis and simulation of chaotic systems.

DOI10.1007/b98824zbMath0939.34001OpenAlexW1557499183MaRDI QIDQ1966506

Frank C. Hoppensteadt

Publication date: 7 March 2000

Published in: Applied Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b98824

zbMATH Keywords

stabilitybifurcationperturbation methodsaveragingqualitative analysisquasistatic-state approximation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis (58-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Complex behavior and chaotic systems of ordinary differential equations (34C28) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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