Rössler attractor

ADVANTAGES0 · dim 3

SolvSRK wins. At the comparison noise level, SolvSRK beats the best baseline by at least 10 percentage points of survival, or by at least 0.05 balanced score when survival is tied. Use SolvSRK for this class of problem. All verdicts →

Simpler chaotic attractor; single non-linearity, long-time integration

Oscillators & nonlinear dynamics

Problem definition

Canonical benchmark implementation

Canonical RHS excerpt from the registered callable used for this benchmark cell. Expand it to verify the state equations; it is not a standalone runnable fixture.

Show canonical RHS excerpt
def _rossler_rhs(t, y, a=0.2, b=0.2, c=5.7):
    x, z, w = y
    return np.array([-z - w, x + a * z, b + w * (x - c)])

def rhs(t, y):
    return _rossler_rhs(t, y)
Parameters
  • a = 0.2
  • b = 0.2
  • c = 5.7
Initial condition
y(0) = [1, 1, 1]
Horizon
t ∈ [0, 100]

Canonical RHS excerpt captured from the same registered callable used for the published benchmark. Frozen closure values are summarized below; helper imports and solver settings are intentionally omitted.

Fingerprint

Spread: low

Default noise: low

Recommendation snapshot

Clean best: SolvSRK

Noisy best: SolvSRK

Coverage

14 solver arms · clean + 5 noise levels

Ranked on survival, precision, and speed

Versions & freeze

Methodology →
Freeze
2026-08-13
libsolvsrk
2.3.0
SciPy
1.14
SUNDIALS
CVODE (bundled backend)

20 seeds/cell default · 14 arms · TRL 4–5 · simulation-lab validated · this page: Rössler attractor (rossler-attractor)

Governed SolvTune benchmark freeze; per-arm medians only. RHS definitions and raw trial rows are not published.

Self-reported by Resonix Labs · not independently verified

Results matrix

Pick an objective and a noise level to rank all arms on survival, median SCD, median nfev, and median wall time. Medians across seeds.

Objective

Best overall trade-off of survival, precision, and speed.

Noise level

#SolverSurvivalSCDnfevWallScore
1SolvSRK
100%
7.8546,5731.76 s0.805
2SciPy RadauSciPy
100%
7.037,866733 ms0.786
3Vern9external
100%
5.510,7223.86 s0.749
4Vern7external
100%
5.410,9023.88 s0.747
5Tsit5external
100%
4.711,1601.78 s0.730
6SciPy RK45SciPy
100%
4.211,72677 ms0.720
7SciPy RK23SciPy
100%
4.262,510522 ms0.719
8SciPy DOP853SciPy
100%
3.37,23842 ms0.696
9SciPy LSODASciPy
100%
3.05,62722 ms0.690
10SciPy BDFSciPy
100%
2.913,701407 ms0.689
11CVODE Adamsexternal
100%
2.74,64144 ms0.683
12CVODE BDFexternal
100%
2.64,61345 ms0.682
13FBDFexternal
100%
2.610,9735.02 s0.681
14TRBDF2external
100%
0.350,8385.56 s0.626

At Clean, best balanced arm is SolvSRK.

Values are medians across seeds, measured by Resonix Labs on Resonix hardware and not independently verified; nfev and wall are on reference lab hardware (indicative). Under injected noise only SolvSRK and the SciPy arms are run. How we measure accuracy → · Verification status →

SolvScout · free

Profile your problem for free

This page shows one published benchmark cell. SolvScout fingerprints your ODE, compares it to the full corpus, and recommends a solver with the same survival / precision / speed ranking you see here — including when a SciPy arm wins.

SolvSRK · 30-day trial

Run the winner on your machine

SolvSRK is the stiffness-adaptive integrator behind the SolvSRK column in these tables. Create an account, activate a machine, and take a 30-day trial — same binary you'd ship after purchase.

Cite this page

Replace the access date. Pin the freeze ID and library versions when comparing against a later export. Cite it as what it is — a self-reported vendor benchmark, not an independently verified result. The note field says so; please keep it.

@misc{resonix_evidence_rossler_attractor_2026,
  title        = {Resonix Evidence Portal: Rössler attractor},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/rossler-attractor}},
  note         = {Self-reported vendor benchmark; internally generated by Resonix Labs and not independently verified. Accessed YYYY-MM-DD. Freeze 2026-08-13; libsolvsrk 2.3.0; SciPy 1.14.}
}

Related

TRL 4–5 · simulation-lab validated · 398 problems · 14 solver arms · clean + 5 noise levels

Freeze: 2026-08-13 · scipy 1.14 · libsolvsrk 2.3.0 · Methodology

Self-reported by Resonix Labs · not independently verified · Verification status