3 ms·

That's definitely not how it works. Traffic is a nonlinear dynamical system with all sorts of non-intuitive coupling between various components.

cik2e 6y ago
In some cases that’s exactly how it works. There’s a four way stop on a major commuter route where I live. Most of the traffic passes through it in a straight line and there is a major build up, like 20-30 min long during rush hour. In one direction there is a side road that loops around off the main road for about 2 miles in a big U and joins back up again at that 4-way stop. Before Waze became popular you could shoot around this bypass and be the only car on that side of the stop sign. Now there is a pretty significant amount of traffic there every rush hour thanks to the GPS apps. Lowell road and Barnes Hill road in Concord, MA for anyone curious.
CyberDildonics 6y ago
What's the difference between a dynamic system and a dynamical system?
- layoutIfNeeded 6y ago
  A dynamical system (https://en.wikipedia.org/wiki/Dynamical_system https://en.wikipedia.org/wiki/Dynamical_system) is basically a bunch of (continuous / discrete) variables whose evolution is governed by a set of (differential / difference) equations. E.g. a pendulum is a dynamical system whose state can be described with a single variable 𝜃 (the angle of the pendulum), governed by the differential equation: 𝘥²𝜃/𝘥t² + g/l sin(𝜃) = 0 (where g is the gravitational acceleration and l is the length of the pendulum) Dynamical systems whose behaviour is linear are kinda well-behaving and easy to analyse. (linear in this context means that the system's response to a linear combination of inputs will be the same as the linear combination of its responses to the individual inputs) Non-linear systems on the other hand behave chaotically, producing wildly different responses to slight differences in their inputs. I'm not sure what a "dynamic system" is though.

cik2e 6y ago

In some cases that’s exactly how it works. There’s a four way stop on a major commuter route where I live. Most of the traffic passes through it in a straight line and there is a major build up, like 20-30 min long during rush hour. In one direction there is a side road that loops around off the main road for about 2 miles in a big U and joins back up again at that 4-way stop. Before Waze became popular you could shoot around this bypass and be the only car on that side of the stop sign. Now there is a pretty significant amount of traffic there every rush hour thanks to the GPS apps. Lowell road and Barnes Hill road in Concord, MA for anyone curious.

CyberDildonics 6y ago

What's the difference between a dynamic system and a dynamical system?

layoutIfNeeded 6y ago
A dynamical system (https://en.wikipedia.org/wiki/Dynamical_system https://en.wikipedia.org/wiki/Dynamical_system) is basically a bunch of (continuous / discrete) variables whose evolution is governed by a set of (differential / difference) equations. E.g. a pendulum is a dynamical system whose state can be described with a single variable 𝜃 (the angle of the pendulum), governed by the differential equation: 𝘥²𝜃/𝘥t² + g/l sin(𝜃) = 0 (where g is the gravitational acceleration and l is the length of the pendulum) Dynamical systems whose behaviour is linear are kinda well-behaving and easy to analyse. (linear in this context means that the system's response to a linear combination of inputs will be the same as the linear combination of its responses to the individual inputs) Non-linear systems on the other hand behave chaotically, producing wildly different responses to slight differences in their inputs. I'm not sure what a "dynamic system" is though.