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4th order Runge-Kutta method to solve a system of 8 coupled ODEs

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#ordinary-differential-equations #systems-of-equations #dynamical-systems #matlab #runge-kutta-methods
341
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Investigate the stability of the origin for $\dot x=-y^2$, $ \dot y = -y + x^2 + xy$

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#ordinary-differential-equations #dynamical-systems #stability-in-odes
311
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Where do we need compactness in this proof?

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#general-topology #metric-spaces #dynamical-systems #compactness
210
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To prove, that Bernoulli shift is sensitive to initial conditions

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#dynamical-systems #stability-theory
60
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To prove - cover of union of backwards orbits of tent map is I

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#dynamical-systems
31
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Compactness and spanning relationship

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#dynamical-systems
126
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What does "dynamics" of PDEs mean?

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#reference-request #partial-differential-equations #soft-question #terminology #dynamical-systems
252
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Unique ergodicity of affine map of the two dimensional torus

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#dynamical-systems #ergodic-theory
78
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What do "space" and "shift" mean here?

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#metric-spaces #definition #dynamical-systems #isometry #equicontinuity
229
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“Time-varying” and “nonautonomous” dynamical systems and their Lyapunov analysis

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#optimization #dynamical-systems #control-theory #nonlinear-system
30
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What is the Julia set of

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#complex-analysis #dynamical-systems
117
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Find all continuous (and not necessarily differentiable) funtions satisfying $[f(x)]^2=\int_0^t f(s)ds,\quad t\ge0$

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#definite-integrals #continuity #dynamical-systems
283
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Dynamical system $f(x)=x^4\sin(1/x)$. How to determine the stability of each equilibrium point?

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#dynamical-systems
455
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How to prove that the numerator of the transfer function has a degree of m.

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#linear-algebra #dynamical-systems #control-theory
57
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Compact and Lyapunov stable n-body orbits must be smooth

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#reference-request #dynamical-systems #classical-mechanics

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