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15
496
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Why does a bifurcation require the eigenvalue of jacobian matrix to be zero

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#dynamical-systems
151
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Question about the definition of topological entropy (book: Brin & Stuck)

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#general-topology #metric-spaces #dynamical-systems #limsup-and-liminf #topological-dynamics
79
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Convergence of $u_{n+1} = \frac{u_n^2}{2}+\frac{1}{2}$

Published on
#sequences-and-series #limits #convergence-divergence #recurrence-relations #dynamical-systems
238
Views

What is the topological entropy of the Collatz map (extended to 2-adic integers)?

Published on
#dynamical-systems #entropy #collatz-conjecture #arithmetic-dynamics
50
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Oscillating reactions and fractional derivatives

Published on
#ordinary-differential-equations #dynamical-systems #fractional-calculus #oscillatory-integral
52
Views

Forward and backward iterations of a homeomorphism

Published on
#general-topology #dynamical-systems
159
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Example of system with equilibria that is Lyapunov stable and is non-isolated.

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #lyapunov-functions
105
Views

Prove that two given matrices are strong shift equivalent.

Published on
#linear-algebra #matrices #dynamical-systems
399
Views

Phase portrait when the matrix is not diagonalizable

Published on
#matrices #ordinary-differential-equations #eigenvalues-eigenvectors #dynamical-systems
25
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What is the standard term for 'no nontrivial factor space' in topological dynamics?

Published on
#group-theory #terminology #dynamical-systems
37
Views

What do the following $\varepsilon$-balls in $S^{1}$ look like? And induced topology

Published on
#general-topology #metric-spaces #dynamical-systems #circles #quotient-spaces
57
Views

Topological entropy of $[0,1)\to[0,1), \ x\mapsto mx$ modulo $1$

Published on
#general-topology #metric-spaces #modular-arithmetic #dynamical-systems #entropy
222
Views

About periodic points of a function over a finite set

Published on
#dynamical-systems
48
Views

Representation of a state on a reduced crossed product $C(X)\rtimes_r G$ as a direct sum of states on $C(X)$

Published on
#dynamical-systems #operator-algebras #c-star-algebras
53
Views

What is the Euclidian diameter of the following 'metric ball' in $[0,1)$?

Published on
#metric-spaces #modular-arithmetic #dynamical-systems #circles

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