I Open problems in nonlinear dynamics and Chaos

I
Thread starter V9999
Start date Sep 12, 2023
Tags

Chaos Nonlinear dynamics

AI Thread Summary

Open problems in nonlinear dynamics and chaos include understanding the long-term behavior of chaotic systems, the predictability of chaotic phenomena, and the transition between different dynamical regimes. Researchers are also focused on the mathematical characterization of strange attractors and the implications of chaos in various fields such as physics and biology. The challenges involve developing robust methods for analyzing complex systems and improving computational techniques for simulating chaotic behavior. Additionally, there is ongoing exploration of the connections between chaos theory and other scientific disciplines. Addressing these issues could significantly advance the understanding of nonlinear dynamics and its applications.

Sep 12, 2023

V9999

What are the remaining open problems and challenges of nonlinear dynamics and chaos?

Physics news on Phys.org

Sep 12, 2023

berkeman

Admin

V9999 said:

What are the remaining open problems and challenges of nonlinear dynamics and chaos?

I did a Google search on your post above, and got lots of good hits. Check out the hit list:

https://www.google.com/search?clien...+of+nonlinear+dynamics+and+chaos?&bshm=rimc/1

Thread 'Gauss' law seems to imply instantaneous electric field'

Imagine a charged sphere at the origin connected through an open switch to a vertical grounded wire. We wish to find an expression for the horizontal component of the electric field at a distance ##\mathbf{r}## from the sphere as it discharges. By using the Lorenz gauge condition: $$\nabla \cdot \mathbf{A} + \frac{1}{c^2}\frac{\partial \phi}{\partial t}=0\tag{1}$$ we find the following retarded solutions to the Maxwell equations If we assume that...

View full post »

Thread 'Off resonance driving of a MW/RF cavity'

Hello! Let's say I have a cavity resonant at 10 GHz with a Q factor of 1000. Given the Lorentzian shape of the cavity, I can also drive the cavity at, say 100 MHz. Of course the response will be very very weak, but non-zero given that the Loretzian shape never really reaches zero. I am trying to understand how are the magnetic and electric field distributions of the field at 100 MHz relative to the ones at 10 GHz? In particular, if inside the cavity I have some structure, such as 2 plates...

View full post »

Thread 'To predict the nature of Normal Reaction in any mechanics set-up'

Is it true that in any mechanical set-up, it is possible to predict the nature of Normal Reaction ( magnitude, direction, etc. ) without solving through the dynamical equations of motion and constraints for the set-up as Normal Reaction is completely unknown? I mean is it true that we can explain NR intuitively beforehand?

View full post »