### Abstract

Nonlinear dynamics and chaotic systems are of great interest to many scientists and engineers in past two decades. Many non-linear systems are a result of mathematical models of physical and biological systems that possess inherent nonlinear properties. In this paper, we focus our attention on a second-degree non-linear differential equation with asinusoidal forcing function and constant coefficients; such equations, which are commonly employed for mathematical modeling of biological systems usually possess inherent nonlinear properties. We show that the second-degree non-linear differential equation system could be aperiodic and therefore the long-term behavior is not predictable. However, in the case of the increased frequency of the sinusoidal input, the system shows somewhat periodic, convergent behavior. The simulations demonstrate how small, seemingly insignificant changes to the parameters (e.g., initial conditions) can dramatically alter the system response.

Original language | English (US) |
---|---|

Pages | 120-121 |

Number of pages | 2 |

Publication status | Published - Aug 22 2003 |

Event | Proceedings of the IEEE 29th Annual Northeast Bioengineering Conference - Newark, NJ, United States Duration: Mar 22 2003 → Mar 23 2003 |

### Other

Other | Proceedings of the IEEE 29th Annual Northeast Bioengineering Conference |
---|---|

Country | United States |

City | Newark, NJ |

Period | 3/22/03 → 3/23/03 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Bioengineering

### Keywords

- Biological systems
- Chaos
- Nonlinear dynamics

### Cite this

*Non-linear dynamics equations and chaos*. 120-121. Paper presented at Proceedings of the IEEE 29th Annual Northeast Bioengineering Conference, Newark, NJ, United States.