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Prove the map has a 10-cycle but no 6-cycles

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#graph-theory #chaos-theory #permutation-cycles
1.3k
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How is chaos related to stability?

Published on
#terminology #chaos-theory
210
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Proof problem: Show that f is a 3-cycle (redo)

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#dynamical-systems #periodic-functions #chaos-theory
43
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Somewhat easy chaos theory question/summation

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#calculus #summation #chaos-theory #lyapunov-functions
216
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How to find the Interval $[a,b]$ for a contraction mapping for $f(x)=x-\cos x$ where $a,b$ exists in $[0,1]$?

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#real-analysis #dynamical-systems #newton-raphson #chaos-theory
48
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Please help me prove this about Lyapunov Exponents!

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#calculus #general-topology #functional-analysis #chaos-theory #lyapunov-functions
52
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Showing an equality using a dynamical system

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#ordinary-differential-equations #power-series #dynamical-systems #chaos-theory
83
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Prove that non-attracting periodic orbits of $x \mapsto x^2 + c$ are in the Julia set

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#quadratics #fractals #chaos-theory #complex-dynamics
2.6k
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4th-order Runge-Kutta method for double pendulum numerical solution

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#ordinary-differential-equations #numerical-methods #classical-mechanics #chaos-theory #runge-kutta-methods
221
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Sarkovskii's Theorem

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#discrete-mathematics #dynamical-systems #chaos-theory #discrete-calculus
117
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Plotting Phase Portrait for Nonlinear Damped Pendulum for larger damping

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#dynamical-systems #physics #nonlinear-system #chaos-theory
760
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Showing that system has a periodic orbit and has a limit cycle.

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#ordinary-differential-equations #dynamical-systems #chaos-theory
230
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Finding stable and unstable manifolds

Published on
#manifolds #dynamical-systems #chaos-theory
141
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Are chaotic systems generally non-differentiable w.r.t. initial conditions?

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#analysis #derivatives #dynamical-systems #chaos-theory
106
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Discrete Dynamical System with Global Chaotic Attractor

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#dynamical-systems #chaos-theory #nonlinear-dynamics #discrete-time

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