mblasco137's latest activity

Thank you for the suggestions and the encouragement! Calculus of variations and Morse theory are certainly relevant to understanding the...

A standard example is a gyroscopically stabilized system, such as a spinning top (dreidel). Its upright configuration can be dynamically...

In principle, yes. If the Hessian of the energy functional has a negative direction then that identifies a saddle point rather than a...

That’s a sufficient criterion under appropriate assumptions but I would distinguish energy minimization from a universal stability...

It answers only a small part of the original question by establishing that stationarity alone is insufficient to demonstrate stability...

Thank you for the clarification. My research has not yet been published in a peer-reviewed journal and I understand the forum’s...

Yes, there are several well-established examples in nonlinear field theory where stationary solutions exist mathematically but are...

In nonlinear classical field theories that admit localized or topological solutions (for example, Skyrme-type or Faddeev–Skyrme-type...