What are the possible nature of equilibrium points in a 4-D dynamical system?
@ Vikash Pandey
Thank u sir for ur answer.
SIr, here the question is related to normal 4-D ODE.
Please suggest me some book.
All 3D space problems mentioned in classical mechanics and quantum mechanics books are indeed 4D, the 4th dimension being time! So for example, gyroscope problem is essentially a 4D problem. Do you want book list of classical mechanics and quantum mechanics?
@ Vikash Pandey
SIr, i have 4-D DEs like 4-D hyperchaotic system.
So, there will four different spaces.
Somewhat related to classical mechanics.
Jay,
It could be difficult to find examples of such 4-D hyperchaotic system in traditional classical mechanics. Only google scholar can help you.
I think Profs Sudar Vaidyanathan and Ahmed Taher are experts in this area. I believe they can respond to the question in detail with sample examples.
@Singh, am also interested in the question and therefore following it. Having determined the jacobian at (0,0,0,0), I also want to know how to find the other 3 equilibrium points
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