Stabilization and complex dynamics initiated by pulsed force in the Rössler system near saddle-node bifurcation

Stankevich, Nataliya

doi:10.1007/s11071-023-09183-2

Nonlinear Dyn

2023

DOI: 10.1007/s11071-023-09183-2

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Stabilization and complex dynamics initiated by pulsed force in the Rössler system near saddle-node bifurcation

Nataliya Stankevich

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2024

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Cited by 3 publications

References 80 publications

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Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator

Sani,

Bednarek,

Witkowski

et al. 2024

Nonlinear Dyn

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The investigated parametrically coupled electromechanical structure is composed of a mechanical Duffing oscillator whose mass sits on a moving belt surface. The driving electrical network is a van der Pol oscillator whose aim is to actuate the attached DC motor to provide some rotatry unbalances and parametric coupling in the vibrating structure. The coupled oscillator is applied to energy harvesting and overcomes the limitation of low energy generation associated with a single oscillator of this kind. The system was solved analytically and validated by numerical methods. The global dynamics of the structure were investigated, and nonlinear phenomena such as Neimark–Sacker bifurcation, discontinuity-induced bifurcation, grazing–sliding, and bifurcation to multiple tori were identified. These nonlinear behaviors affect the harvested energy at bifurcation points, resulting in jumps from one energy level to another. In addition to harnessing the highest energy under hard parametric coupling, the coupling ensures that higher and more useful energy is harvested over a wider range of belt speeds. Finally, the qualitative validation of the numerical concept by experimental setup verifies the workings of the model.

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Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator

Sani,

Bednarek,

Witkowski

et al. 2024

Nonlinear Dyn

View full text Add to dashboard Cite

show abstract

On the bifurcations in a quadrotor unmanned aerial vehicle dynamical system using normal form theory

Li,

Marwan,

Karawanich

2024

Nonlinear Dyn

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Multi-dimensional chaos initiated by short pulses in non-autonomous radio-physical generator

Kilina,

Panteleeva,

Stankevich

2024

Communications in Nonlinear Science and Numerical Simulation

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Stabilization and complex dynamics initiated by pulsed force in the Rössler system near saddle-node bifurcation

Cited by 3 publications

References 80 publications

Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator

Dynamics and energy harvesting from parametrically coupled self-excited electromechanical oscillator

On the bifurcations in a quadrotor unmanned aerial vehicle dynamical system using normal form theory

Multi-dimensional chaos initiated by short pulses in non-autonomous radio-physical generator

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