Discontinuous and chaotic self-oscillatory solutions of the wave equation
1 Department of Thermophysical Foundations of Energy-Saving Technologies, Institute of Technical Thermophysics of the National Academy of Sciences of Ukraine , Kyiv region, Kyiv, 03057, Ukraine
Keywords:
self-oscillating solutions
Abstract
The obtained conditions for the existence of discontinuous periodic and chaotic self-oscillatory solutions for a nonlinear boundary value problem for the wave equation. It is shown that the appearance of the data, the solution is equivalent to the existence of cycles or chaotic attractors in the corresponding one-dimensional recurrence map.
Cite
- ACS Style
- Hotsulenko, V.V. Discontinuous and chaotic self-oscillatory solutions of the wave equation. Bukovinian Mathematical Journal. 2017, 4
- AMA Style
- Hotsulenko VV. Discontinuous and chaotic self-oscillatory solutions of the wave equation. Bukovinian Mathematical Journal. 2017; 4(3-4).
- Chicago/Turabian Style
- Volodymyr Volodymyrovych Hotsulenko. 2017. "Discontinuous and chaotic self-oscillatory solutions of the wave equation". Bukovinian Mathematical Journal. 4 no. 3-4.
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