Chaos Theory
The Lotka-Volterra equations are a set of first-order nonlinear differential equations that describe the dynamics of biological systems in which two species interact, typically a predator and its prey. These equations illustrate how populations change over time based on their interactions, showcasing cycles of growth and decline. The Lotka-Volterra framework is significant in understanding ecological systems, especially in modeling the complex feedback loops between species such as those seen in ecosystems like the Belousov-Zhabotinsky reaction, which also exhibit chaotic behavior.
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