### Explosive attractor solutions to a universal cubic delay equation

New explosive attractor solutions have been found in a universal cubic delay equation that has been studied in both the plasma and the fluid mechanics literature. Through computational simulations and analytic approximations, it is found that the oscillatory component of the explosive mode amplitude solutions are described through multi-frequency Fourier expansions with respect to a pseudo-time variable.

- Publication Date:

- Grant/Contract Number:
- SC0006653

- Type:
- Published Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 24; Journal Issue: 5; Journal ID: ISSN 1070-664X

- Publisher:
- American Institute of Physics (AIP)

- Research Org:
- Univ. of Texas, Austin, TX (United States)

- Sponsoring Org:
- USDOE Office of Science (SC)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

- OSTI Identifier:
- 1348020

- Alternate Identifier(s):
- OSTI ID: 1349355; OSTI ID: 1465679

```
Sanz-Orozco, D., and Berk, H. L..
```*Explosive attractor solutions to a universal cubic delay equation*. United States: N. p.,
Web. doi:10.1063/1.4976855.

```
Sanz-Orozco, D., & Berk, H. L..
```*Explosive attractor solutions to a universal cubic delay equation*. United States. doi:10.1063/1.4976855.

```
Sanz-Orozco, D., and Berk, H. L.. 2017.
"Explosive attractor solutions to a universal cubic delay equation". United States.
doi:10.1063/1.4976855.
```

```
@article{osti_1348020,
```

title = {Explosive attractor solutions to a universal cubic delay equation},

author = {Sanz-Orozco, D. and Berk, H. L.},

abstractNote = {New explosive attractor solutions have been found in a universal cubic delay equation that has been studied in both the plasma and the fluid mechanics literature. Through computational simulations and analytic approximations, it is found that the oscillatory component of the explosive mode amplitude solutions are described through multi-frequency Fourier expansions with respect to a pseudo-time variable.},

doi = {10.1063/1.4976855},

journal = {Physics of Plasmas},

number = 5,

volume = 24,

place = {United States},

year = {2017},

month = {2}

}