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Show that there is a saddle node bifurcation in the system $\dot{x}=r-\cosh(x)$.

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#dynamical-systems #solution-verification #bifurcation
79
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Stability for linear discrete Systems

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#discrete-mathematics #dynamical-systems #discrete-time
78
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Proof of global asymptotic stability for dynamical system

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#eigenvalues-eigenvectors #dynamical-systems
277
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Dynamic Metric Spaces

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#metric-spaces #dynamical-systems
142
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Using a power series method for proof of solution to first order matrix ODE

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#ordinary-differential-equations #dynamical-systems
240
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Fixed point and gradient descent

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#multivariable-calculus #convergence-divergence #optimization #dynamical-systems #fixed-point-theorems
43
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Why smale horseshoe satisfies the Axiom A?

Published on
#dynamical-systems #stability-theory
192
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Stability Function system

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#dynamical-systems #stability-in-odes #lyapunov-functions
56
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Prove that an attractive point of a map, then its conjugate is also attractive in the conjugate map

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#dynamical-systems #fixed-point-theorems #periodic-functions
131
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Traveling Wave Solution of Bistable Diffusion Equation

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#ordinary-differential-equations #partial-differential-equations #dynamical-systems
57
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Finding stable, unstable manifold and conjugacy homeomorphism

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#manifolds #dynamical-systems
94
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Are there period points on an elliptic curve?

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#dynamical-systems #elliptic-curves #cryptography
46
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Uniqueness of solutions to the ODE

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#real-analysis #functional-analysis #ordinary-differential-equations #dynamical-systems
215
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How to interpret this population growth model?

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#ordinary-differential-equations #dynamical-systems #mathematical-modeling #biology
166
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Is it possible for topological dynamical systems to be semiconjugate if one of the dynamical systems is minimal but the other one is not?

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#dynamical-systems

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