{ "cells": [ { "cell_type": "markdown", "id": "cell-0", "metadata": {}, "source": [ "# DoublePendulum — Conservative Chaos\n", "\n", "**Author:** Jordan Landers \n", "**Date:** last-modified\n", "\n", "_Description:_ Hamiltonian double pendulum, sensitive dependence on initial conditions, energy conservation vs solver tolerance tradeoffs, trajectory divergence, phase space\n", "\n", "_Abstract_\n", "\n", "> `DoublePendulum` is an energy-conserving (Hamiltonian) system that exhibits deterministic chaos without any dissipation. This notebook demonstrates sensitive dependence on initial conditions, exponential trajectory divergence, and the tradeoff between energy conservation and solver tolerance — contrasting conservative chaos with the dissipative chaos of driven systems.\n", "\n", "**Keywords:** DoublePendulum, Hamiltonian, conservative chaos, energy conservation, sensitive dependence, trajectory divergence, solver tolerance, phase space, Lyapunov" ] }, { "cell_type": "markdown", "id": "cell-1", "metadata": {}, "source": [ "## Overview\n", "\n", "`DoublePendulum` implements two point masses on rigid, massless rods swinging from a fixed\n", "pivot. The system is Hamiltonian (energy-conserving) with no damping by default, and is\n", "chaotic for most non-trivial initial conditions.\n", "\n", "### Equations\n", "\n", "$$\\frac{d\\theta_1}{dt} = \\omega_1 \\qquad \\frac{d\\theta_2}{dt} = \\omega_2$$\n", "\n", "$$\\frac{d\\omega_1}{dt} = \\frac{-g(2m_1+m_2)\\sin\\theta_1 - m_2 g\\sin(\\theta_1-2\\theta_2)- 2\\sin\\Delta\\,m_2(\\omega_2^2 L_2 + \\omega_1^2 L_1\\cos\\Delta)}{L_1[2m_1+m_2-m_2\\cos 2\\Delta]} - d_1\\omega_1$$\n", "\n", "$$\\frac{d\\omega_2}{dt} = \\frac{2\\sin\\Delta(\\omega_1^2 L_1(m_1+m_2) + g(m_1+m_2)\\cos\\theta_1 + \\omega_2^2 L_2 m_2\\cos\\Delta)}{L_2[2m_1+m_2-m_2\\cos 2\\Delta]} - d_2\\omega_2$$\n", "\n", "where $\\Delta = \\theta_1 - \\theta_2$.\n", "\n", "### Parameters\n", "\n", "| Name | Description | Default |\n", "|------|-------------|--------|\n", "| `m1`, `m2` | Bob masses (kg) | 1.0, 1.0 |\n", "| `L1`, `L2` | Rod lengths (m) | 1.0, 1.0 |\n", "| `g` | Gravitational acceleration (m/s²) | 9.81 |\n", "| `d1`, `d2` | Linear damping on each bob (s⁻¹) | 0.0, 0.0 |\n", "\n", "State variables: `theta1`, `omega1`, `theta2`, `omega2`. Diagnostics: `energy`, `x1`, `y1`, `x2`, `y2` (Cartesian positions, pivot at origin)." ] }, { "cell_type": "code", "execution_count": null, "id": "cell-2", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from climatecritters.model_critters.pendulum import DoublePendulum" ] }, { "cell_type": "markdown", "id": "cell-3", "metadata": {}, "source": [ "## Basic run\n", "\n", "Starting from a large-amplitude, asymmetric configuration ($\\theta_1 = 120°$, $\\theta_2 = -20°$)\n", "the lower bob traces an irregular path — a hallmark of deterministic chaos." ] }, { "cell_type": "code", "execution_count": null, "id": "cell-4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial energy E₀ = 0.5916 J\n", "Steps: 3330\n" ] } ], "source": [ "# θ₁=120°, ω₁=0, θ₂=-20°, ω₂=0 — large amplitude, asymmetric\n", "IC = [2 * np.pi / 3, 0.0, -np.pi / 9, 0.0]\n", "\n", "dp = DoublePendulum(m1=1.0, m2=1.0, L1=1.0, L2=1.0, g=9.81)\n", "output = dp.integrate(t_span=(0, 30), y0=IC, method='RK45',\n", " kwargs={'rtol': 1e-9, 'atol': 1e-11})\n", "\n", "t = np.asarray(output.time)\n", "theta1 = np.degrees(output.state_variables['theta1'])\n", "theta2 = np.degrees(output.state_variables['theta2'])\n", "E0 = output.diagnostic_variables['energy'][0]\n", "\n", "print(f'Initial energy E₀ = {E0:.4f} J')\n", "print(f'Steps: {len(t)}')" ] }, { "cell_type": "code", "execution_count": null, "id": "cell-5", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x1 = output.diagnostic_variables['x1']\n", "y1 = output.diagnostic_variables['y1']\n", "x2 = output.diagnostic_variables['x2']\n", "y2 = output.diagnostic_variables['y2']\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", "\n", "# Angle time series\n", "axes[0].plot(t, theta1, lw=0.8, color='steelblue', label='θ₁ (upper)')\n", "axes[0].plot(t, theta2, lw=0.8, color='firebrick', label='θ₂ (lower)')\n", "axes[0].set_xlabel('time (s)'); axes[0].set_ylabel('angle (°)')\n", "axes[0].set_title('Angular displacement')\n", "axes[0].legend(fontsize=9)\n", "\n", "# Bob 2 Cartesian trajectory\n", "sc = axes[1].scatter(x2, y2, c=t, cmap='viridis', s=0.5, lw=0)\n", "axes[1].scatter([x2[0]], [y2[0]], color='lime', s=50, zorder=5, label='start')\n", "axes[1].scatter([x2[-1]], [y2[-1]], color='red', s=50, zorder=5, label='end')\n", "fig.colorbar(sc, ax=axes[1], label='time (s)')\n", "axes[1].set_xlabel('x₂ (m)'); axes[1].set_ylabel('y₂ (m)')\n", "axes[1].set_title('Bob 2: Cartesian trajectory')\n", "axes[1].set_aspect('equal')\n", "axes[1].legend(fontsize=9)\n", "\n", "# θ₁–θ₂ phase portrait\n", "axes[2].plot(theta1, theta2, lw=0.4, color='#333333', alpha=0.8)\n", "axes[2].set_xlabel('θ₁ (°)'); axes[2].set_ylabel('θ₂ (°)')\n", "axes[2].set_title('θ₁–θ₂ configuration space')\n", "\n", "fig.suptitle('DoublePendulum — θ₁=120°, θ₂=−20°')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "dp-basic-cap", "metadata": {}, "source": [ "**Figure.** Starting from $\\theta_1=120°$, $\\theta_2=-20°$. Left: both angles range widely and irregularly — the system never settles. Centre: the lower bob's Cartesian path densely fills a region of space with no apparent pattern. Right: the $(\\theta_1, \\theta_2)$ configuration portrait traces a space-filling curve that never closes — the signature of conservative chaos in a Hamiltonian system." ] }, { "cell_type": "markdown", "id": "cell-6", "metadata": {}, "source": [ "## Sensitive dependence on initial conditions\n", "\n", "Two trajectories starting $\\varepsilon = 10^{-6}$ rad apart in $\\theta_1$ diverge\n", "exponentially and become fully uncorrelated within a few seconds." ] }, { "cell_type": "code", "execution_count": null, "id": "cell-7", "metadata": {}, "outputs": [], "source": [ "eps = 1e-6\n", "kw_tight = {'rtol': 1e-10, 'atol': 1e-12}\n", "\n", "dp_a = DoublePendulum()\n", "out_a = dp_a.integrate(t_span=(0, 20), y0=IC, method='RK45', kwargs=kw_tight)\n", "\n", "IC_perturbed = [IC[0] + eps, IC[1], IC[2], IC[3]]\n", "dp_b = DoublePendulum()\n", "out_b = dp_b.integrate(t_span=(0, 20), y0=IC_perturbed, method='RK45', kwargs=kw_tight)\n", "\n", "t_a = np.asarray(out_a.time)\n", "t_b = np.asarray(out_b.time)\n", "\n", "# Interpolate b onto a's time grid for pointwise comparison\n", "th1_b_interp = np.interp(t_a, t_b, out_b.state_variables['theta1'])\n", "th2_b_interp = np.interp(t_a, t_b, out_b.state_variables['theta2'])\n", "om1_b_interp = np.interp(t_a, t_b, out_b.state_variables['omega1'])\n", "om2_b_interp = np.interp(t_a, t_b, out_b.state_variables['omega2'])\n", "\n", "sep = np.sqrt(\n", " (out_a.state_variables['theta1'] - th1_b_interp)**2 +\n", " (out_a.state_variables['theta2'] - th2_b_interp)**2 +\n", " (out_a.state_variables['omega1'] - om1_b_interp)**2 +\n", " (out_a.state_variables['omega2'] - om2_b_interp)**2\n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "cell-8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "axes[0].plot(t_a, np.degrees(out_a.state_variables['theta1']),\n", " lw=0.8, color='steelblue', label='Original')\n", "axes[0].plot(t_b, np.degrees(out_b.state_variables['theta1']),\n", " lw=0.8, color='firebrick', alpha=0.7, label=f'Perturbed (ε={eps:.0e} rad)')\n", "axes[0].set_xlabel('time (s)'); axes[0].set_ylabel('θ₁ (°)')\n", "axes[0].set_title('Upper bob angle — diverge after ~5 s')\n", "axes[0].legend(fontsize=9)\n", "\n", "axes[1].semilogy(t_a, sep + 1e-18, lw=1.0, color='#333333')\n", "axes[1].axhline(1.0, color='firebrick', ls='--', lw=0.9, label='O(1) saturation')\n", "axes[1].set_xlabel('time (s)'); axes[1].set_ylabel('phase-space separation')\n", "axes[1].set_title(f'Exponential divergence (ε={eps:.0e} rad in θ₁)')\n", "axes[1].legend(fontsize=9)\n", "\n", "fig.suptitle('DoublePendulum — sensitive dependence on initial conditions')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "dp-sens-cap", "metadata": {}, "source": [ "**Figure.** Left: two trajectories starting $\\varepsilon = 10^{-6}$ rad apart in $\\theta_1$ track each other for ~5 s then diverge completely — indistinguishable early, totally uncorrelated late. Right: phase-space separation on a log scale grows exponentially (positive Lyapunov exponent) then saturates at O(1) once the trajectories are exploring the full attractor independently." ] }, { "cell_type": "markdown", "id": "cell-9", "metadata": {}, "source": [ "## Energy conservation vs solver tolerance\n", "\n", "The undamped double pendulum is Hamiltonian — total energy is an exact constant.\n", "Relative energy error $|E(t)-E_0|/|E_0|$ measures integration quality." ] }, { "cell_type": "code", "execution_count": null, "id": "cell-10", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Default (rtol=1e-3) steps= 337 max|ΔE/E₀|=1.58e+01\n", "Moderate (rtol=1e-6) steps= 1092 max|ΔE/E₀|=2.26e-03\n", "Tight (rtol=1e-10) steps= 7191 max|ΔE/E₀|=1.45e-08\n" ] } ], "source": [ "tol_cases = [\n", " ('Default (rtol=1e-3)', {}, 'firebrick'),\n", " ('Moderate (rtol=1e-6)', {'rtol': 1e-6, 'atol': 1e-8}, 'goldenrod'),\n", " ('Tight (rtol=1e-10)',{'rtol': 1e-10,'atol': 1e-12}, 'steelblue'),\n", "]\n", "\n", "for label, kw, _ in tol_cases:\n", " m = DoublePendulum()\n", " out = m.integrate(t_span=(0, 40), y0=IC, method='RK45', kwargs=kw)\n", " E = out.diagnostic_variables['energy']\n", " max_err = np.max(np.abs(E - E[0])) / np.abs(E[0])\n", " print(f'{label:35s} steps={len(out.time):5d} max|ΔE/E₀|={max_err:.2e}')" ] }, { "cell_type": "code", "execution_count": null, "id": "cell-11", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 4))\n", "\n", "for label, kw, color in tol_cases:\n", " m = DoublePendulum()\n", " out = m.integrate(t_span=(0, 40), y0=IC, method='RK45', kwargs=kw)\n", " E = out.diagnostic_variables['energy']\n", " ax.semilogy(np.asarray(out.time), np.abs(E - E[0]) / np.abs(E[0]) + 1e-18,\n", " lw=0.8, color=color, label=label)\n", "\n", "ax.set_xlabel('time (s)'); ax.set_ylabel('|ΔE / E₀|')\n", "ax.set_title('Energy conservation error vs RK45 tolerance')\n", "ax.legend(fontsize=9)\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "dp-energy-cap", "metadata": {}, "source": [ "**Figure.** Relative energy error $|\\Delta E / E_0|$ for three solver tolerances. Default tolerances (rtol=1e-3) accumulate O(10) error — the integrator is taking steps too large to respect the Hamiltonian structure. Moderate tolerances (rtol=1e-6) keep error below 0.2%. Tight tolerances (rtol=1e-10) maintain $|\\Delta E / E_0| < 10^{-8}$ throughout. Use tight tolerances whenever energy conservation or Poincaré sections matter." ] }, { "cell_type": "markdown", "id": "cell-12", "metadata": {}, "source": [ "## Solver notes\n", "\n", "`RK45` (adaptive) is the recommended solver. Default tolerances are adequate for short\n", "qualitative runs; for energy-sensitive diagnostics use tight tolerances:\n", "\n", "```python\n", "output = model.integrate(..., kwargs={'rtol': 1e-9, 'atol': 1e-11})\n", "```\n", "\n", "**Optional damping:** set `d1` and/or `d2` to positive values to add linear damping on\n", "each bob. With damping the system is no longer Hamiltonian and energy decays monotonically.\n", "\n", "**Cartesian positions** (`x1`, `y1`, `x2`, `y2`) are computed from angles after integration\n", "and accessible via `output.diagnostic_variables` or `model.cartesian_positions()`.\n", "\n", "**Note:** A `MultiPendulum` class supporting N-rod chains is not yet in the public codebase.\n", "For $N>2$ rods the recommended approach is to subclass `DoublePendulum` and override `dydt`\n", "using the Lagrangian mass-matrix formulation, solving $M(\\theta)\\,\\ddot{\\theta} = \\tau(\\theta,\\dot{\\theta})$\n", "with `numpy.linalg.solve` at each step." ] } ], "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 }