Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
DOI10.1007/978-1-4612-1140-2zbMath0515.34001OpenAlexW2089876099WikidataQ29999586 ScholiaQ29999586MaRDI QIDQ1051772
John Guckenheimer, Philip J. Holmes
Publication date: 1983
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4612-1140-2
chaosstrange attractorsperturbationHopf bifurcationsHamiltonian systemsLorenz equationsglobal bifurcationscenter manifoldaveragingrotation numbersLorenz attractorlocal bifurcationPoincare mapsDuffing's equationKolmogorov-Arnold-Moser theoryattracting motionsbouncing ball problemVan der Pol oscillators
Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) 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) Dynamical systems and ergodic theory (37-XX) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)
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