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How can the logistic equation be discretized to obtain the logistic map?

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#ordinary-differential-equations #recurrence-relations #dynamical-systems
77
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Poincaré Map Nonlinear Pendulum with Torque

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#ordinary-differential-equations #dynamical-systems #nonlinear-system
79
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does a slight change in a real value cause a massive change from finite to infinite?

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#sequences-and-series #number-theory #dynamical-systems #abc-conjecture #arithmetic-dynamics
462
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What are holonomic constraints?

Published on
#dynamical-systems #classical-mechanics
242
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Finding Radius and period time of a limit cycle using Melnikov Integration

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#ordinary-differential-equations #dynamical-systems #nonlinear-system
132
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Expressions for system of equations in a neighborhood of the origin, $x' = y+y^2 - 2xy + x^2$, $y'=x+y^2 - 2xy + x^2.$

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#ordinary-differential-equations #manifolds #systems-of-equations #dynamical-systems #nonlinear-system
26
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Epsilon denseness of orbit of a transformation along a set implies denseness along open sets

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#general-topology #continuity #dynamical-systems
64
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The long term asymptotic solution of the SIR model with immunity loss

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#ordinary-differential-equations #asymptotics #dynamical-systems #stability-in-odes #lyapunov-functions
94
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Intersection of attracting sets that is not an attracting set.

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#general-topology #dynamical-systems
227
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Pattern formation by diffusion driven instability

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#partial-differential-equations #dynamical-systems #stability-in-odes #biology #bifurcation
253
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Find the general solution of the system $X'=\begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}X$

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#ordinary-differential-equations #dynamical-systems
53
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Showing an equality using a dynamical system

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#ordinary-differential-equations #power-series #dynamical-systems #chaos-theory
54
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The idea behind the time elapsed between two phase path points?

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#ordinary-differential-equations #dynamical-systems #vector-fields
226
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Finding Possible Unobservable C matrices

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#linear-algebra #dynamical-systems
389
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Intuition behind topological conjugacy between the flows of two systems of differential equations

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#ordinary-differential-equations #dynamical-systems

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