On Analytical Routes to Chaos in Nonlinear Systems

DOI10.1142/S0218127414300134zbMath1296.70021OpenAlexW2114259953MaRDI QIDQ3191920

Albert C. J. Luo

Publication date: 26 September 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127414300134

zbMATH Keywords

nonlinear systemsperturbation methodmethod of averagingtime-delayed nonlinear systemsgeneralized harmonic balanceanalytical periodic motionsanalytical quasi-periodic motions

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) General perturbation schemes for nonlinear problems in mechanics (70K60) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Averaging of perturbations for nonlinear problems in mechanics (70K65)

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Cites Work

• Nonlinear differential equations and dynamical systems
• Toward Analytical Chaos in Nonlinear Systems
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