Mathematics 3D Virtual Science Laboratory | hoan.uk

Experiment Directory (8)

• Lorenz Attractor & The Butterfly Effect

  Nonlinear dynamical system and deterministic chaos theory

  math / chaos  •  Edward Lorenz (1963)

• Fourier Series & Epicycles Wave Synthesizer

  Decomposition of periodic functions into harmonic sinusoidal oscillations

  math / calculus  •  Jean-Baptiste Joseph Fourier (1822)

• Pythagorean Theorem & Geometric Dissection

  Hypotenuse square area conservation & Generalized Law of Cosines

  math / geometry  •  Pythagoras & Henry Perigal (-500)

• Brachistochrone & Tautochrone Cycloid Race

  Calculus of variations: Fastest descent trajectory is a cycloid, not a straight line

  math / calculus  •  Johann Bernoulli (1696)

• Mandelbrot & Julia Fractal Complex Dynamics

  Infinite fractal complexity emerging from iterated quadratic complex mapping

  math / fractal  •  Benoît Mandelbrot & Gaston Julia (1980)

• Damped Harmonic Oscillator

  Solution of second-order linear differential equation with viscous damping

  math / calculus  •  Robert Hooke & Isaac Newton (1687)

• Lorenz Strange Attractor & Butterfly Effect

  3-dimensional nonlinear autonomous differential system generating deterministic chaos

  math / dynamical-systems  •  Edward Norton Lorenz (1963)

• Van der Pol Relaxation Oscillator

  Nonlinear self-sustaining oscillator generating an isolated limit cycle

  math / dynamical-systems  •  Balthasar van der Pol (1927)