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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.

1 vote
0 answers
28 views

Stability Problem in a Nonlinear Dynamical System

Consider the nonlinear dynamical system given by the following differential equations \begin{cases} \dot{x} = y, \\ \dot{y} = x - x^3 - \gamma y + \delta x^2 y. \end{cases} I want to demonstrate that, …
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  • 31
1 vote
1 answer
69 views

Example of finite closed cover with entropy strictly greater than topological entropy

I'm reading "Topological entropy bounds measure-theorettic entropy", by L.W. Goodwyn. enter link description here After Proposition 2, he mentions that "finite closed cover can yield entropy strictly …
felcove's user avatar
  • 31