5-Target Heterogeneous Dynamics (50x Range)

ADVANTAGES2 · dim 35

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 →

5 targets with deliberately heterogeneous dynamics: 2 aggressive jinking (omega=0.5 rad/s, a_mag=10), 2 straight cruise (omega=0, a_mag=0), 1 near-stationary hover (|v|~1 m/s). 50x dynamic range between fastest and slowest.

Target tracking

Problem definition

Li & Jilkov, 'Survey of Maneuvering Target Tracking' (2003); Bar-Shalom et al. (2001)

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 rhs(t, y):
    d = np.empty(dim)
    for i in range(n_targets):
        base = 7 * i
        x   = y[base]
        yy  = y[base + 1]
        z   = y[base + 2]
        vx  = y[base + 3]
        vy  = y[base + 4]
        vz  = y[base + 5]
        a_m = y[base + 6]

        v_mag = np.sqrt(vx * vx + vy * vy + vz * vz)
        v_safe = max(v_mag, _VEL_FLOOR)
        omega = omegas_arr[i]

        d[base]     = vx
        d[base + 1] = vy
        d[base + 2] = vz
        d[base + 3] = -omega * vy + a_m * vx / v_safe
        d[base + 4] =  omega * vx + a_m * vy / v_safe
        d[base + 5] =               a_m * vz / v_safe
        d[base + 6] = -a_m * inv_tau_a

    return d
Parameters
  • _VEL_FLOOR = 1e-06
  • dim = 35
  • inv_tau_a = 0.2
  • n_targets = 5
  • omegas_arr = [0.5, 0.5, 0, 0, 0]
Initial condition
y(0) = [1000, 0, 500, 80, 120, 0, …] [shape=(35,), min=-2000, max=3000]
Horizon
t ∈ [0, 60]

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: high

Default noise: low

Recommendation snapshot

Clean best: SciPy Radau

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: 5-Target Heterogeneous Dynamics (50x Range) (5-target-heterogeneous-dynamics-50x-range)

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
1SciPy RadauSciPy
100%
10.35,956175 ms0.865
2SolvSRK
100%
10.14,90392 ms0.860
3Tsit5external
100%
8.52,046984 ms0.823
4SciPy DOP853SciPy
100%
8.36029 ms0.817
5SciPy RK45SciPy
100%
8.12,18634 ms0.812
6SciPy LSODASciPy
100%
8.11,08114 ms0.812
7SciPy RK23SciPy
100%
7.314,456252 ms0.792
8CVODE Adamsexternal
100%
7.357415 ms0.792
9CVODE BDFexternal
100%
6.61,09024 ms0.777
10SciPy BDFSciPy
100%
6.61,48163 ms0.775

At Clean, best balanced arm is SciPy Radau · SolvSRK survival 100%, SCD 10.1.

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 →

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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_5_target_heterogeneous_dynamics_50x_range_2026,
  title        = {Resonix Evidence Portal: 5-Target Heterogeneous Dynamics (50x Range)},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/5-target-heterogeneous-dynamics-50x-range}},
  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