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Best references for a more intuitive introduction to Dynamical Systems, Ergodic Theory and Quantum Chaos

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#reference-request #dynamical-systems #book-recommendation #ergodic-theory #chaos-theory
25
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Closed form experssion for gradient dynamics on energy $E = \frac{1}{1 + x^2} (s - xy)^2$

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#dynamical-systems
36
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Embedded subshift in $[0,1]$ has dimension $0$?

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#dynamical-systems #entropy #ergodic-theory #dimension-theory-analysis #hausdorff-measure
30
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Seeking Help with a Proof Step in Measure-Preserving Systems and Kronecker Factors

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#measure-theory #eigenvalues-eigenvectors #dynamical-systems #ergodic-theory
73
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Is there a Julia fractal that contains uncountable many copies of itself?

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#set-theory #dynamical-systems #infinity #fixed-point-theorems #fractals
176
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Expanding endomorphism is mixing - proof details

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#dynamical-systems #ergodic-theory #mixing
53
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Intuition of the concepts behind Ergodic Theory

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#reference-request #dynamical-systems #book-recommendation #ergodic-theory #topological-dynamics
43
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Conjugacy of expansive flows

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#dynamical-systems #group-actions #ergodic-theory #topological-dynamics
17
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Topological conjugacy of the logistic map at different parameter values

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#dynamical-systems #nonlinear-dynamics #discrete-time
72
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Why do we need a $T$-invariant probability measure to define ergodicity?

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#probability-theory #dynamical-systems #ergodic-theory
55
Views

Linear Differential Equation as $t \rightarrow -\infty$

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#real-analysis #linear-algebra #ordinary-differential-equations #asymptotics #dynamical-systems
107
Views

Positive/Negative Definite Functions Confusion

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#dynamical-systems #positive-definite #lyapunov-functions
40
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Reducing a system of differential equations to canonical form

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#ordinary-differential-equations #dynamical-systems
94
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Recurrent neural networks stability

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#dynamical-systems #neural-networks
56
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Confusion regarding the definition of the state of a physical system

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#ordinary-differential-equations #dynamical-systems #physics #classical-mechanics

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