Chaos in a Weakly Nonlinear Oscillator With Parametric and External Resonances

DOI10.1115/1.2897158zbMath0777.70018OpenAlexW2022379072MaRDI QIDQ4019601

Kazuyuki Yagasaki

Publication date: 16 January 1993

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2897158

zbMATH Keywords

averaging methodMelnikov's techniquesteady-state chaos

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (8)

Chaotic motions near homoclinic manifolds and resonant tori in quasiperiodic perturbations of planar Hamiltonian systems ⋮ Unnamed Item ⋮ Chaotic responses of a deformable system under parametric and external excitations. ⋮ Second-order averaging and chaos in quasiperiodically forced weakly nonlinear oscillators ⋮ Nonlinear dynamics of a flexible spinning disc coupled to a precompressed spring ⋮ Chaos in the softening Duffing system under multi-frequency periodic forces ⋮ Chaos in mechanical systems -- a review ⋮ Bifurcation in a nonlinear Duffing system with multi-frequency external periodic forces

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