I am trying to study the pair of equations -
$ \dot{x} = y - ax \\ \dot{y} = -by + \dfrac{x}{1 + x}$
At $a = 0$, a fixed point at ($x = \infty, y = 1$), jumps over to ($x = -\infty, y = 1$). Do we call this a bifurcation?
Thanks.
A fixed point moves from $\infty$ to $-\infty$. Is this a bifurcation? If yes, what is the nature of bifurcation?
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calculus
multivariable-calculus
chaos-theory
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0Ohh. So you mean that if some fixed point is achieved at $t = \infty$ => it is not something we can observe => no use talking about bifurcations? (I am still learning, so pardon me if I misunderstood) – 2017-03-02
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0Thanks a ton. This is the exact question I am solving :). One more question - did you know this page's location or did you google it? If you did indeed google it, what was the search query? – 2017-03-02