Questions tagged [bifurcation]

The tag has no usage guidance.

26 questions
Filter by
Sorted by
Tagged with
1 vote
49 views

Are one-dimensional bifurcations dissipative or conservative?

I have elementary questions about one dimensional bifurcations. It should be remarked that I have also searched and read previous posts of Physics stack exchange. However, these did not help me with ...
• 13
39 views

Energy delivered to unstable limit cycle

For a given family of stable and unstable $T$-periodic limit cycles $\Gamma$ forming a manifold $\mathcal{M}\subset \mathbb{R}^n\times \mathbb{R}^p$ of some (nonconservative) $p$-parametric $n$-...
• 101
227 views

Phase space portrait for dynamical system with Bifurcations

I have this dynamical system $$x'=y, y'=-x^3-y+mx$$ and I want to draw the phace space diagram for $m=-1/8, m=1/4,$ the bifurcation points. 1st of all I cant find what kind of bifruction I have( I go ...
1 vote
28 views

Inhomogeneous Brusselator model

I am studying a Brusselator model which includes inhomogeneous terms such as $\nabla ^2 x$ and $\nabla^2 y$ in the following way \begin{aligned} &\partial_{\tau} x=a-(b+1) x+x^{2} y+d_{X} \nabla^{...
• 151
1 vote
41 views

Terminology for scenario when energy of system $E(\theta_1,\ldots,\theta_k)$ with $k$ real parameters, is minimum whenever $\theta_1=c$ (fixed value)

Disclaimer. I'm not a physicist. Consider a physical system whose "energy" $E$ is a function of $k$ real parameters $\theta = (\theta_1,\ldots,\theta_k) \in \mathbb R^k$. Let $E_{\min}$ be ...
• 193
137 views

• 155