stability and bifurcation analysis
Stability and bifurcation analysis refers to the examination of a system's behavior and its tendency to change or undergo significant shifts under different conditions. It involves studying the stability of an equilibrium or steady state, investigating the system's response to perturbations, and identifying critical points where qualitative changes or bifurcations occur. This analysis helps understand how a system evolves, predict its future behavior, and explore the conditions that lead to different outcomes.
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Related Concepts (21)
- attractors
- bifurcations
- bogdanov-takens bifurcations
- center manifold theory
- chaos theory
- continuous systems
- dynamical systems
- equilibrium analysis
- fixed points
- fold bifurcations
- global bifurcations
- hopf bifurcations
- limit cycles
- local bifurcations
- lyapunov stability
- nonlinear dynamics
- period doubling bifurcations
- phase portraits
- pitchfork bifurcations
- saddle-node bifurcations
- stability analysis
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