Chaotic behavior of the biharmonic dynamics system

DOI10.1155/2009/319179zbMath1169.37301OpenAlexW2008688610WikidataQ58648432 ScholiaQ58648432MaRDI QIDQ1028887

Vladimir S. Aslanov

Publication date: 9 July 2009

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55887

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

• Analysis of chaotic behavior in the extended Duffing--Van der Pol system subject to additive non-symmetry biharmonical excitation
• Conjugate resonances and bifurcations in nonlinear systems under biharmonical excitation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Effect of bounded noise on chaotic motion of Duffing oscillator under parametric excitation
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