bifurcation theory
Bifurcation theory is a branch of mathematics and physics that studies the qualitative changes in dynamic systems as parameters are varied, leading to the emergence of new behaviors or states, often resulting in a system being divided into multiple distinct branches or outcomes.
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Related Concepts (40)
- attractor
- attractor basins
- attractors
- catastrophe theory
- chaos
- chaos theory
- chaotic motion
- complex dynamical systems
- complex dynamics
- complex systems
- control theory
- discrete dynamical systems
- discrete-time dynamical systems
- dynamical instability
- dynamical systems
- henon attractor
- iterated maps
- logistic map
- lyapunov exponent
- mathematical modeling
- mathematical physics
- nonlinear differential equations
- nonlinear dynamics
- nonlinear oscillations
- nonlinear systems
- oscillations
- pattern formation
- period-doubling bifurcation
- periodic orbits
- phase transitions
- poincaré maps
- route to chaos
- rössler attractor
- sensitive dependence on parameters
- stability analysis
- strange attractor
- strange attractor models
- strange attractors
- structural stability
- synchronization
Similar Concepts
- bifurcation
- bifurcation analysis
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- bifurcation diagram
- bifurcation phenomena
- bifurcation points
- bifurcation theory in climate science
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- bifurcations
- fold bifurcation
- local bifurcations
- neuronal bifurcation theory
- pitchfork bifurcation
- pitchfork bifurcations