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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
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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, …
1
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1
answer
69
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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 …