Periodic and Chaotic Motion of a Time-Delayed Nonlinear System Under Two Coexisting Families of Additive Resonances

DOI10.1142/S0218127417500663zbMath1367.70045OpenAlexW2623793623MaRDI QIDQ4976134

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Publication date: 27 July 2017

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

Full work available at URL: https://doi.org/10.1142/s0218127417500663

zbMATH Keywords

chaotic motionadditive resonancestime-delayed nonlinear systemtwo coexisting stable bifurcating solutionstwo-to-one resonant Hopf bifurcations

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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