- Zymplectic is high-performance numerical integration platform specialized for Hamiltonian physics
- Designed for scientific and educational use
- Not intended as a sandbox physics engine or for parallel computing tasks
- Built-in explicit symplectic integrators for separable and non-separable, autonomous and non-autonomous Hamiltonian systems
- Supports both unconstrained and constrained Hamiltonian systems
- Extensive collection of symplectic integration coefficients (text file integrators.zym)
- Large library of Hamiltonian systems with 100+ examples in C/C++ with applications in chaos and KAM theory
- Fully self-contained: No installation, no external dependencies, extracted from 7z archive
- Powerful GUI for compiling and simulating systems with a single click
- Practical OpenGL-based graphics utilities
- Powered by MinGW-w64 toolchains for high performance and flexibility
- Download Zymplectic (bundled with clang or gcc)
- Extract files to a folder
- Run Zymplectic.exe
- Open an example or create your own Hamiltonian system using the provided templates
❗ Zymplectic.exe is only Windows (win64) compatible at the moment.
Integration coefficients and dynamical systems may still be accessed on any operating systems.
Zymplectic graphics window and GUI (Windows 10) simulating a constrained pendulum system. Command window not shown.
- Website https://Zymplectic.com/
- Reddit https://www.reddit.com/r/Zymplectic/
- YouTube https://www.youtube.com/c/Zymplectic
v.0.13.4 (2026.04.04) - crash and memory fixes, start stutter fix, optimization, new example script
v.0.13.3 (2026.03.06) - x87 fix, constrained methods nudge, fabius update, new example script
v.0.13.2 (2026.02.25) - nonautonomous constrained supported, trail crash fix, fabius and new scripts
Older releases
v.0.13.1 (2025.12.18) - minor UI improvements, updated licenses, clang version update, script fixesv.0.13.0 (2025.12.09) - constrained systems supported, cylindrical canvas added, new example scripts
v.0.12.7 (2025.09.22) - draw.trackb added, x track fix, script improvements, new example scripts
v.0.12.6 (2025.07.27) - draw.rods can loop, @ fix, improved documentation, new example scripts
v.0.12.5 (2025.05.23) - draw.sphere, draw.polygon optimized, new integrators, new example script, QOL
v.0.12.4 (2025.04.11) - added export/import for track, minor gui fixes, new example scripts
v.0.12.3 (2025.01.14) - native graphics and Z.OnDrawAdd supports multiple trails, new example scripts
v.0.12.2 (2024.11.22) - digits increased for several integrators, new compositions in integrators.zym
v.0.12.1 (2024.10.14) - optimized rod/hrod graphics, some scripts optimized, new example script
v.0.12.0 (2024.09.06) - added periodic time, optimized sphere and other graphics, new example script
v.0.11.3 (2024.07.05) - added high order integrators, example scripts, colormaps, integrator export
v.0.11.2 (2024.05.20) - added draw.rods, fixed rod/spring orientation issues, new example script
v.0.11.1 (2024.02.03) - new sequential colormaps, new example scripts, lighting fix for some primitives
v.0.11.0 (2023.12.15) - added draw.box, added up(x) header, fixed reset issues, new example scripts
v.0.10.4 (2023.07.29) - fixed several benchmark issues including crash that would occur in abs benchmark
v.0.10.3 (2023.07.20) - added "quick benchmark", integrators and example script. Abs benchmark fixed
v.0.10.2 (2023.05.25) - optimized most graphical shapes, draw.spring (2D) removed, new example scripts
v.0.10.1 (2023.05.09) - fixed track canvas issue, fixed flicker for draw.surf, new example script
v.0.10.0 (2023.04.25) - full 3D interfacing, GUI improved, numerous fixes e.g. start stutter, new scripts
v.0.9.6 (2023.04.07) - fixed 3D cursor position display, added speed toggle, new example scripts
v.0.9.5 (2023.03.30) - added 3D mouseX/Y detection, several graphical fixes, new example script
v.0.9.4 (2023.02.18) - several fixes, e.g. 3D track interface, improved Poincaré scripts, new scripts
v.0.9.3 (2023.01.25) - track overhaul, updated licenses, UI tweaks and fixes, new example script, QOL
v.0.9.2 (2023.01.02) - fixed crash involving draw.surf, added draw.track_get, several scripts improved
v.0.9.1 (2022.11.30) - minor fixes, 3D cam ctrl/shift speeds, clang version update, new example scripts
v.0.9.0 (2022.10.08) - paused start, numerous fixes and UI improvements, example scripts added/updated
v.0.8.7 (2022.08.21) - added draw.surfopt, optimized draw.surf, fixed cone normals, new example script
v.0.8.6 (2022.08.05) - fixed scaled draw.surf normals, initial camera issue fixed, new example script
v.0.8.5 (2022.07.16) - numerous small fixes, added draw.rgb(v) and simplified scripts, new example script
v.0.8.4 (2022.06.30) - added 5 sequential colormaps, fixed track resolution scaling, new example script
v.0.8.3 (2022.05.24) - graphics recoded and optimized, added blend trails and fog clipping, fixed script
v.0.8.2 (2022.05.05) - added multisample anti-aliasing, added draw.cone, fixed draw.cam affect and reset
v.0.8.1 (2022.04.20) - fixed crash, fixed/improved several scripts, freeglut update, new example script
v.0.8.0 (2022.04.08) - improved graphing fidelity, +6 RKN methods, crash fixes, new example scripts, QOL
v.0.7.7 (2022.01.24) - fixed camera, loading and flag issues when changing script, new example script
v.0.7.6 (2021.12.23) - added draw.spheres, in-script compiler flags, optimizations and new example script
v.0.7.5 (2021.12.07) - fixed ScreenX update, fixed zero-parameters script load, new example script
v.0.7.4 (2021.11.16) - fixed native surf, draw.surf now works for 2D display, added draw.depth
v.0.7.3 (2021.11.01) - graphics timer overhaul fixing stutter and fps cap, fixed special case "@" issue
v.0.7.2 (2021.10.16) - fixed trail crash, VSync stutter fixed, fixed cdir path issue, new example script
v.0.7.1 (2021.10.09) - added spring function argument, optimized N-pendulum, added script
v.0.7.0 (2021.09.24) - timer system overhaul, draw.trailRGB added, crash fixes, new example script
v.0.6.5 (2021.08.27) - multi-trail supported, axes/UI changes and fixes, added, new example script
v.0.6.4 (2021.08.11) - added -D_DIM#, added example script, improved UI, fixed surf-rescale hanging
v.0.6.3 (2021.07.25) - fixed two 1080p+ memory issues, updated and added example scripts
v.0.6.2 (2021.07.14) - added pause (spacebar), various initialization fixes, added example scripts
v.0.6.1 (2021.07.08) - 4K resolution is now fully support, fixed 3D text, clang version update
v.0.6.0 (2021.06.29) - added 3D text, texts now rely on \0, attempt fix for shared drives, new examples
v.0.5.2 (2021.05.25) - fixed potential trail crash, added UI scaling for 1080p, added example scripts
v.0.5.1 (2021.05.05) - fixed crash in 3D mode, added new example script and draw.linesize
v.0.5.0 (2021.04.03) - 3D surface added, @ fix, track_add renamed to track, improved some example scripts
v.0.4.4 (2021.03.08) - fixed "@" comment issue, tweaked compilation process, added new example files
v.0.4.3 (2021.02.10) - "@" now functions as a macro power operator (experimental). Example codes altered
v.0.4.2 (2021.02.05) - fixed status layout in 3D mode. Added new example codes
v.0.4.1 (2021.01.19) - improved 3D models and enabled culling. Licenses updated (more permissive)
v.0.4.0 (2020.11.27) - added trail function, improved UI and natives. New naming conventions
v.0.3.2 (2020.10.01) - added new natives. improved surface of section scripts
v.0.3.1 (2020.09.09) - added new events and fixed trajectory tracking issues. GCC version update
v.0.3.0 (2020.08.20) - 3D graphical display is now supported. Several example systems added
v.0.2.6 (2020.05.01) - energy surface is now compatible for separable systems. Fixed scripted resolution
v.0.2.5 (2020.03.02) - surface of section examples. UI updates. New native functions (e.g. draw.spring)
v.0.2.4 (2020.02.20) - reduced latency for non-separable systems. Fixed rare crash when stopping simulation
v.0.2.3 (2020.02.08) - RGB and RWB colormap. Scripts can initialize by commandline. Code cleanup
v.0.2.2 (2020.01.23) - added interactive features (experimental). Corrected various errors in scripts
v.0.2.1 (2020.01.10) - updated clang, modified UI text
v.0.2.0 (2020.01.07) - new naming conventions and various improvements in performance and interface
v.0.1.5 (2019.11.17) - memory fix, added integrators and naming convention changes
v.0.1.4 (2019.11.11) - codes are now fully compatible with c++
v.0.1.3 (2019.10.31) - clear gradient toggle and new naming convention in integrators.zym
v.0.1.2 (2019.10.28) - implemented new composite algorithms. Many fixes and new naming conventions
v.0.1.1 (2019.10.09) - implemented custom track features
v.0.1.0 (2019.10.02) - first released