poincaré maps
Poincaré maps are graphical representations used in mathematics and physics to study the long-term behavior of dynamic systems. They involve plotting points in a phase space at specific instances when a system crosses a particular surface or plane. These maps reveal the underlying structure of the system, such as periodic or chaotic orbits, and help analyze its stability and dynamics.
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Related Concepts (19)
- bifurcation theory
- canonical transformations
- celestial mechanics
- chaos theory
- deterministic chaos
- discrete dynamical systems
- dynamical systems
- fixed points
- hamiltonian systems
- iterated maps
- nonlinear dynamics
- periodic orbits
- phase space
- poincaré recurrence theorem
- poincaré section
- stability analysis
- strange attractor models
- strange attractors
- symplectic geometry