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Results tagged with complex-systems
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user 324303
A loosely defined concept, a Complex System presents a behavior nontrivially determined by the interactions between its parts. Complex systems often exhibit emergence phenomena, such as swarming and pattern formation. In such systems, nonlinear interactions can lead to memory and feedback mechanisms, self-organized criticality, and chaotic behavior. Network theory, systems biology, and adaptive/evolutionary systems also fall under this umbrella concept.
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Mixing for Burgers equation in 2+1D
Let us consider the following (2+1)-dimensional Burgers-like equation:
$$
u_t + (u^2)_x + (u^3)_y=0.
$$
Here the unknown is a function $u= u(t,x,y):(0,\infty) \times \mathbb R^2 \to \mathbb R$.
Is the …
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