Editing Psionics (section)

== Nonlinear Dynamics Equations ==
=== Logistic Map ===
<math>x_{n+1} = r x_n (1 - x_n)</math>
* Describes a simple nonlinear dynamical system exhibiting chaotic behavior, relevant for modeling complex interactions in psychic phenomena.
* Offers insights into the emergence of unpredictability and sensitivity to initial conditions in psi-related processes.
* Provides mathematical tools for studying the dynamics of belief systems and collective consciousness.

=== Lorenz System ===
<math>\begin{aligned} \dot{x} &= \sigma(y - x) \\ \dot{y} &= x(\rho - z) - y \\ \dot{z} &= xy - \beta z \end{aligned}</math>
* Describes a three-dimensional system of ordinary differential equations exhibiting chaotic behavior, applicable to modeling the dynamics of psychic energy fields.
* Offers insights into the complex interplay of variables in psychic interactions, such as telepathic communication between individuals.
* Provides mathematical tools for investigating the sensitivity of psychic phenomena to environmental factors and perturbations.

=== Rössler Attractor ===
<math>\begin{aligned} \dot{x} &= -y - z \\ \dot{y} &= x + ay \\ \dot{z} &= b + z(x - c) \end{aligned}</math>
* Describes a set of three coupled first-order nonlinear ordinary differential equations, potentially relevant for modeling the behavior of psychic energy fields.
* Offers insights into the emergence of chaotic attractors and strange attractors in psi-related processes.
* Provides mathematical tools for studying the long-term behavior and stability of psychic phenomena.

=== Henon Map ===
<math> \begin{aligned} x_{n+1} &= 1 - ax_n^2 + y_n \\ y_{n+1} &= bx_n \end{aligned} </math>
* Describes a discrete-time dynamical system used to generate chaotic attractors, applicable to modeling complex psychic interactions over time.
* Offers insights into the fractal nature of psychic phenomena, including the self-similarity and scale invariance observed in psi-related processes.
* Provides mathematical tools for analyzing the temporal evolution and recurrence patterns of psychic experiences.

=== Van der Pol Oscillator ===
<math>\ddot{x} - \mu(1 - x^2) \dot{x} + x = 0</math>
* Describes a second-order differential equation model with nonlinear damping, potentially relevant for modeling the dynamics of psychic energy fields.
* Offers insights into the emergence of limit cycles and periodic behavior in psi-related processes.
* Provides mathematical tools for studying the oscillatory patterns and resonance phenomena observed in psychic experiences.