{ "cells": [ { "cell_type": "markdown", "id": "cell-0", "metadata": {}, "source": [ "# Roessler — Single-Scroll Chaotic Oscillator\n", "\n", "**Author:** Jordan Landers \n", "**Date:** last-modified\n", "\n", "_Description:_ Single-scroll strange attractor, parameter c periodic-to-chaotic transition, period-doubling bifurcation cascade, phase portrait, quasi-periodic spirals with irregular z-spikes\n", "\n", "_Abstract_\n", "\n", "> `Roessler` implements the Rössler (1976) three-variable strange attractor, characterized by a single scroll with simpler geometry than the Lorenz butterfly. This notebook shows the periodic-to-chaotic transition as parameter c increases through a period-doubling cascade, and illustrates how nonlinear coupling in the z-equation generates deterministic chaos from simple spiral dynamics.\n", "\n", "**Keywords:** Roessler, strange attractor, single-scroll, chaos, period-doubling, bifurcation, phase portrait, nonlinear coupling, quasi-periodic, Rössler 1976" ] }, { "cell_type": "markdown", "id": "cell-1", "metadata": {}, "source": [ "## Overview\n", "\n", "The Rössler system (1976) is a minimal three-variable ODE with a single-scroll strange attractor:\n", "\n", "### Equations\n", "\n", "$$\\frac{dx}{dt} = -y - z$$\n", "$$\\frac{dy}{dt} = x + a\\,y$$\n", "$$\\frac{dz}{dt} = b + z(x - c)$$\n", "\n", "Compared to Lorenz63, the attractor is simpler: one scroll rather than two. The variable `z`\n", "spikes periodically while `x` and `y` circulate quasi-periodically in the plane below.\n", "Chaos arises from the nonlinear $z(x-c)$ term — when $x > c$ the $z$ variable grows exponentially\n", "before being reset.\n", "\n", "### Parameters\n", "\n", "| Name | Description | Default (canonical chaos) |\n", "|------|-------------|---------------------------|\n", "| `a` | y-feedback strength | 0.2 |\n", "| `b` | z-equation offset | 0.2 |\n", "| `c` | Nonlinear threshold | 5.7 |\n", "\n", "`c` controls the bifurcation structure: small `c` → periodic orbits; large `c` → chaos.\n", "State variables: `x`, `y`, `z`. No diagnostic variables." ] }, { "cell_type": "code", "execution_count": 1, "id": "cell-2", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from climatecritters.model_critters.roessler import Roessler" ] }, { "cell_type": "markdown", "id": "ro-attractor-h2", "metadata": {}, "source": [ "## Canonical attractor" ] }, { "cell_type": "code", "execution_count": 2, "id": "cell-4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Steps: 8029\n", "x range: [-9.08, 11.41]\n", "z range: [0.00, 22.60]\n" ] } ], "source": [ "# a=0.2, b=0.2, c=5.7 — canonical chaotic parameter set\n", "model = Roessler()\n", "output = model.integrate(t_span=(0, 300), y0=[0.1, 0.0, 0.0], method='RK45')\n", "\n", "x = output.state_variables['x']\n", "y = output.state_variables['y']\n", "z = output.state_variables['z']\n", "t = output.time\n", "\n", "print(f'Steps: {len(t)}')\n", "print(f'x range: [{np.min(x):.2f}, {np.max(x):.2f}]')\n", "print(f'z range: [{np.min(z):.2f}, {np.max(z):.2f}]')" ] }, { "cell_type": "code", "execution_count": null, "id": "cell-5", "metadata": {}, "outputs": [], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "# x-z projection — the characteristic single scroll\n", "axes[0].plot(x, z, lw=0.25, color='steelblue', alpha=0.7)\n", "axes[0].set_xlabel('x'); axes[0].set_ylabel('z')\n", "axes[0].set_title('Rössler attractor (x–z projection)')\n", "\n", "# x(t) time series — quasi-periodic spirals with irregular z-spikes\n", "t_arr = np.asarray(t)\n", "mask = (t_arr >= 200)\n", "axes[1].plot(t_arr[mask], x[mask], lw=0.7, color='firebrick')\n", "axes[1].set_xlabel('time'); axes[1].set_ylabel('x')\n", "axes[1].set_title('x(t) (post-transient)')\n", "\n", "fig.suptitle('Roessler — a=0.2, b=0.2, c=5.7')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "ro-attractor-cap", "metadata": {}, "source": [ "**Figure.** Left: x–z projection of the single-scroll attractor. Unlike the Lorenz butterfly, there is only one scroll — trajectories spiral outward in the xy-plane until a nonlinear spike in $z$ resets them to a tighter orbit. The band structure reflects quasi-regular winding with slowly varying amplitude. Right: $x(t)$ shows largely regular oscillations punctuated by occasional amplitude irregularities — Rössler is chaotic but less violently so than Lorenz at these parameters." ] }, { "cell_type": "markdown", "id": "ro-ts-h3", "metadata": {}, "source": [ "### x, y, z time series" ] }, { "cell_type": "code", "execution_count": null, "id": "cell-7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 1, figsize=(11, 6), sharex=True)\n", "mask_ts = (t_arr >= 200) & (t_arr <= 280)\n", "\n", "for ax, var, color, label in zip(axes,\n", " [x, y, z],\n", " ['firebrick', 'steelblue', 'seagreen'],\n", " ['x', 'y', 'z']):\n", " ax.plot(t_arr[mask_ts], var[mask_ts], lw=0.8, color=color)\n", " ax.set_ylabel(label)\n", "\n", "axes[-1].set_xlabel('time')\n", "fig.suptitle('Roessler — x, y, z time series (a=0.2, b=0.2, c=5.7)')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "ro-ts-cap", "metadata": {}, "source": [ "**Figure.** $x$ and $y$ oscillate in approximate anti-phase at the slow frequency. $z$ is near zero for most of the cycle, then spikes sharply upward when the $(x, y)$ trajectory reaches the outer edge of the spiral. Each $z$-spike slightly perturbs the next orbit — this sensitive amplification of small differences is the source of chaos." ] }, { "cell_type": "markdown", "id": "cell-8", "metadata": {}, "source": [ "## Effect of `c` — periodic to chaotic transition\n", "\n", "`c` controls the dominant dynamics. Below `c ≈ 4.2` the attractor is periodic;\n", "above that period-doubling cascades to chaos by `c ≈ 5.7`." ] }, { "cell_type": "code", "execution_count": null, "id": "cell-9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_cases = [\n", " (3.5, 'Period-1 (c=3.5)', 'steelblue'),\n", " (4.1, 'Period-2 (c=4.1)', 'goldenrod'),\n", " (5.7, 'Chaos (c=5.7)', 'firebrick'),\n", "]\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n", "\n", "for ax, (c_val, label, color) in zip(axes, c_cases):\n", " m = Roessler(c=c_val)\n", " out = m.integrate(t_span=(0, 400), y0=[0.1, 0.0, 0.0], method='RK45')\n", " xv = out.state_variables['x']\n", " zv = out.state_variables['z']\n", " tv = np.asarray(out.time)\n", " mk = tv > 200\n", " ax.plot(xv[mk], zv[mk], lw=0.3, color=color, alpha=0.8)\n", " ax.set_xlabel('x'); ax.set_ylabel('z')\n", " ax.set_title(label)\n", "\n", "fig.suptitle('Roessler — x–z attractor for varying c (a=0.2, b=0.2)')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "ro-c-cap", "metadata": {}, "source": [ "**Figure.** x–z attractor for three values of $c$. Period-1 ($c=3.5$): a single closed orbit — the trajectory retraces the same path every cycle. Period-2 ($c=4.1$): the orbit has split into two nested loops; every other revolution is slightly larger, doubling the period. Chaos ($c=5.7$): no two loops are the same; the band has thickened into a continuous sheet characteristic of a strange attractor." ] }, { "cell_type": "markdown", "id": "cell-10", "metadata": {}, "source": [ "## Solver notes\n", "\n", "`RK45` is appropriate. The Rössler system is not stiff at canonical parameters.\n", "\n", "**`t_span` must start at 0 or later.** Like `Lorenz63`, this model accumulates state in\n", "`dydt` using a `if t > 0` guard. Negative start times leave a gap in the output.\n", "\n", "**Discard a transient** (first ~100 time units) before taking attractor statistics — the\n", "trajectory may start far from the attractor depending on the initial condition." ] } ], "metadata": { "kernelspec": { "display_name": "pb_jpl_env", "language": "python", "name": "pb_jpl_env" }, "language_info": { "name": "python", "version": "3.10.0" } }, "nbformat": 4, "nbformat_minor": 5 }