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Good textbook for "second course" in discrete dynamics

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#reference-request #dynamical-systems
82
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Find Polar Differential Equation that satisfies Bifurcation Diagram

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#ordinary-differential-equations #dynamical-systems #bifurcation
99
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Finding a unique fixed point for a dynamical system

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#systems-of-equations #dynamical-systems #lyapunov-functions
80
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Findin the initial value with matrix exponentiation.

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#linear-algebra #ordinary-differential-equations #dynamical-systems #self-learning
208
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application of linear algebra to nonlinear dynamic systems

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#linear-algebra #dynamical-systems
138
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Compute the $\omega$-limit set for every point in $\Re ^3$ for a dynamical system

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#limits #derivatives #dynamical-systems #polar-coordinates #nonlinear-system
176
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Find the positively invariant annulus

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#ordinary-differential-equations #dynamical-systems #set-invariance
2.3k
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Attractivity and Lyapunov Stability

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#dynamical-systems #stability-theory
79
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Lyapunov theorems for instability

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #stability-theory
230
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Bifurcation point of $\theta' =\frac{\sin \theta}{r+\sin\theta}$

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#ordinary-differential-equations #dynamical-systems #bifurcation
434
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Can a hyperbolic fixed point be inside a homoclinic loop on a plane?

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#ordinary-differential-equations #dynamical-systems #classical-mechanics #ergodic-theory #bifurcation
25
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Prove that $w(x)$ the derived set of $O_T^+(x)$ is $X$.

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#real-analysis #analysis #dynamical-systems #ergodic-theory
118
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Prove that the closure of every $T$-orbit is a $T$-invariant subset of X

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#analysis #proof-verification #proof-writing #dynamical-systems #ergodic-theory
190
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Partial stability of dynamical system?

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#ordinary-differential-equations #dynamical-systems #control-theory
2.9k
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Why does the trace of the Jacobian and its eigenvalues determine equilibrium stability?

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#ordinary-differential-equations #dynamical-systems #jacobian #stability-theory

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