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The Lotka-Volterra equation is known as a nonlinear differential equation that provides the simplest representation of a predator-prey system between two species without intraspecific competition. This model describes the interaction between prey (the consumed species) and predators (the consuming species), playing a fundamental role in learning the basics of ecological concepts. Basic Structure of the…

When a butterfly🦋 flaps its wings in one place, a tornado🌪️ occurs on the other side of the earth. This is a metaphor for the phenomenon that started chaos theory at the beginning of the movie “The Butterfly Effect,” in which small differences in initial conditions can make a big difference in future outcomes. The…

In the field of dynamical systems, an attractor is the state or destination of convergence of a system over time. In a system called a “dissipative system” in which energy flows in and out, an attractor is the point or state to which the system finally settles, and appears in a fixed form independent of…

Let me introduce a famous story related to the number \( 1729 \). It dates back to the early 1900s and involves the British mathematician G. H. Hardy. Remarkable Insight While on his way to visit his friend, the Indian mathematician Srinivasa Ramanujan, who was ill, Hardy rode in a taxi with the number \(…