Example image of eyePlorer eyePlorer map for 'Orbit (dynamics)': Dynamical system Dynamical system (definition) Mathematics Partition of a set Curve Riemann surface Sequence Real number Iterated function Natural number Group (mathematics) Group action Equilibrium point Limit Butterfly effect Cobweb plot Periodic points of complex quadratic mappings Bertrand's theorem Blue sky catastrophe Fractal lake Homoclinic bifurcation Morse–Smale system Poincaré map Poincaré–Bendixson theorem Pugh's closing lemma Siegel disc Stable manifold theorem Weinstein conjecture Dyadic transformation Mandelbrot set Stability theory Structural stability Andronov–Pontryagin criterion Kolmogorov–Arnold–Moser theorem Limit set Peixoto's theorem Conley index theory Linear flow on the torus Nash-Moser theorem Numerical continuation Heteroclinic bifurcation Integral curve Periodic point Phase space method Rotation number Edward Spiegel Iterated monodromy group Arnold's cat map Hyperbolic set Irrational rotation