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Verifying that a billiard system satisfies the twist condition.

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#chaos-theory #billiards
114
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Density of Solution to ODE in Function Space

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#functional-analysis #ordinary-differential-equations #metric-spaces #dynamical-systems #chaos-theory
223
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Does heteroclinic intersections of the stable and unstable manifolds of different fixed points imply chaotic behavior?

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#dynamical-systems #chaos-theory #fixed-points #nonlinear-dynamics
87
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How do mathematicians deal with some predictability in otherwise-chaotic systems

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#chaos-theory
1.5k
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Why do chaotic systems need dense periodic orbits?

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#soft-question #dynamical-systems #chaos-theory
89
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Non trivial bijective maps from $\mathbb{N}^{3}$ to $\mathbb{N}^3$

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#functions #discrete-mathematics #natural-numbers #chaos-theory
335
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Existence of Topologically Transitive Maps on nice Metric Spaces

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#general-topology #dynamical-systems #chaos-theory #topological-dynamics
36
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Hypercyclic Vector

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#dynamical-systems #chaos-theory #frechet-derivative
296
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Largest Lyapunov Exponent

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#dynamical-systems #chaos-theory #lyapunov-exponents
330
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How to show that a finite dimensional linear system of ODEs cannot be chaotic?

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#ordinary-differential-equations #dynamical-systems #chaos-theory
120
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On Lyapunov numbers

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#general-topology #dynamical-systems #ergodic-theory #chaos-theory
99
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Can a system of linear maps be chaotic?

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#dynamical-systems #chaos-theory
50
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How to determine if a nonlinear perturbation introduces chaos to a linear system?

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#dynamical-systems #perturbation-theory #chaos-theory
494
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Example of Topologically Mixing map on $k$-dimensional cube

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#dynamical-systems #chaos-theory #nonlinear-dynamics
1.2k
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What is the difference between Noise and chaos?

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#chaos-theory #noise

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