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Questions and Answers
What is the equation for the Hopf bifurcation in the given system?
What is the equation for the Hopf bifurcation in the given system?
- $x^{ ext{''}}+(x^{2}+x^{ ext{''}2}- ext{μ})x^{ ext{''}}-x=0$
- $x^{ ext{''}}+(x^{2}+x^{ ext{''}2}+ ext{μ})x^{ ext{''}}+x=0$
- $x^{ ext{''}}-(x^{2}+x^{ ext{''}2}- ext{μ})x^{ ext{''}}+x=0$
- $x^{ ext{''}}+(x^{2}+x^{ ext{''}2}- ext{μ})x^{ ext{''}}+x=0$ (correct)
What is the equation for the Lorentz system?
What is the equation for the Lorentz system?
- $rac{d x}{d t}=10(y-x), rac{d y}{d t}=z(r-x)-y, rac{d z}{d t}=x y-2.5z$
- $rac{d x}{d t}=10(y-x), rac{d y}{d t}=x(r-z)-y, rac{d z}{d t}=x y-2.5z$ (correct)
- $rac{d x}{d t}=10(x-y), rac{d y}{d t}=x(r-z)-y, rac{d z}{d t}=x y-2.5z$
- $rac{d x}{d t}=10(y-x), rac{d y}{d t}=x(r-z)+y, rac{d z}{d t}=x y-2.5z$
What is the equation for the cubic map given?
What is the equation for the cubic map given?
- $x_{n+1}=y_{n}, y_{n+1}=a y_{n}-0.25 x_{n}-y_{n}^{3}$ (correct)
- $x_{n+1}=y_{n}, y_{n+1}=a y_{n}+0.25 x_{n}+y_{n}^{3}$
- $x_{n+1}=y_{n}, y_{n+1}=a y_{n}-0.25 x_{n}+y_{n}^{3}$
- $x_{n+1}=y_{n}, y_{n+1}=a y_{n}+0.25 x_{n}-y_{n}^{3}$
What is the value of $r$ in the Lorentz system for computing the Lyapunov exponents?
What is the value of $r$ in the Lorentz system for computing the Lyapunov exponents?
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What is the range of $a$ for which the cubic map is iterated to plot the bifurcation diagram?
What is the range of $a$ for which the cubic map is iterated to plot the bifurcation diagram?
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