A note on the Helmholtz oscillator

DOI10.1016/S0960-0779(00)00106-5zbMath0995.70021OpenAlexW2048620404MaRDI QIDQ5950560

Adel A. Hussein, S. Al Athel

Publication date: 2 January 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00106-5

zbMATH Keywords

periodic solutionDuffing oscillatorclassical oscillatordecaying solutionlocalized soliton solutionpotentially chaotic soliton solutionunperturbed Helmholtz oscillator

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Related Items (5)

Transition to chaos in the self-excited system with a cubic double well potential and parametric forcing ⋮ Exact solution of the quadratic mixed-parity Helmholtz-Duffing oscillator ⋮ Chaotic dynamics of the fractionally damped Duffing equation ⋮ Fast relaxation transients in a kicked damped oscillator ⋮ Reshaping-induced order-chaos routes in a damped driven Helmholtz oscillator

Cites Work

• On the Susceptibility of Local Elastic Buckling to Chaos
• Unnamed Item

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