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solve two-dimensional nonlinear system numerically

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#ordinary-differential-equations #dynamical-systems #systems-of-equations #nonlinear-system
139
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conservation law for the trajectories

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#ordinary-differential-equations #dynamical-systems #physics #chaos-theory
127
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phase space partition and symbolic dynamics

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#dynamical-systems
564
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Find the limit cycle/s and fixed points for this dynamical system.

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#dynamical-systems #stability-in-odes
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Irrational flow on torus

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#ordinary-differential-equations #dynamical-systems
93
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Replicator equation for mixed strategies?

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#ordinary-differential-equations #dynamical-systems #game-theory
190
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Prey predator excercice

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#ordinary-differential-equations #dynamical-systems
142
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Find the bounded orbits of the system $x'=y$, $y'=x+x^2-y$

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#ordinary-differential-equations #dynamical-systems #stability-in-odes
488
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Estimate the Lipschitz constant of the product $xf(x)$, where $f$ is Lipschitz

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#real-analysis #measure-theory #inequality #dynamical-systems #lipschitz-functions
35
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Continuous population models

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#ordinary-differential-equations #dynamical-systems
202
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Show solution is an attracting center manifold.

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#ordinary-differential-equations #manifolds #dynamical-systems #smooth-manifolds
211
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Is $a_n = f(a + b c^n)$ when $a_0 = \ln(2)$ and $a_{n+1} = (e+1) a_n (a_n - 1)$?

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#dynamical-systems #periodic-functions #chaos-theory
2.1k
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How is a state disturbance matrix constructed?

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#dynamical-systems #control-theory #noise
677
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Positively invariant $(S,I)$-triangle for SIS dynamical system

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#ordinary-differential-equations #dynamical-systems #set-invariance
1.9k
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How to find the period of periodic solutions of the van der Pol equation?

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#ordinary-differential-equations #dynamical-systems #nonlinear-system

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