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generator.py

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+# The included pre-generated Mackey-Glass time series were generated on 
+# an M1 machine using the following script. Note that due to the reliance
+# of jitcdde on lower-level solvers, this script may not produce the same
+# results on different machines. (Tested on various x64 and M1 architectures,
+# with consistent library versions.)
+# Thus it is recommended to use the pre-generated time series.
+
+# generates mackey-glass time series using jitcdde
+from jitcdde import jitcdde, y, t
+import numpy as np
+import csv
+
+def generator(tau, lyap_time, initial_condition):
+	# MG parameters
+	beta = 0.2
+	gamma = 0.1
+	n = 10
+
+	# total time to integrate, 50 lyapunov times
+	total_time = lyap_time*50
+	
+	# number of steps to integrate: 50 lyap_times, 75 steps each, plus one to eval
+	steps = 50 * 75 + 1
+
+	f = [beta*y(0,t-tau)/(1+y(0,t-tau)**n)-gamma*y(0)]
+	DDE = jitcdde(f)
+
+	# shrink integration parameters
+	DDE.set_integration_parameters(atol=1e-17, rtol=1e-17, min_step=1e-17)
+
+	DDE.constant_past([initial_condition])
+	DDE.step_on_discontinuities()
+
+	# generate
+	data = []
+	for time in np.linspace(DDE.t, DDE.t+total_time, steps):
+		data.append(DDE.integrate(time)[0])
+
+	return np.array(data)
+
+if __name__ == '__main__':
+	taus = []
+	lyap_times = []
+	initial_conditions = []
+
+	# read csv
+	with open('mackey_glass_parameters.csv', newline='') as csvfile:
+		reader = csv.reader(csvfile, delimiter=',')
+		for row in reader:
+			# skip header
+			if row[0] == 'tau':
+				continue
+			taus.append(int(row[0]))
+			lyap_times.append(int(row[1]))
+			initial_conditions.append(float(row[2]))
+			
+	# generate
+	for tau, lyap_time, initial_condition in zip(taus, lyap_times, initial_conditions):
+		data = generator(tau, lyap_time, initial_condition)
+		assert(len(data) == 50*75+1)
+		np.save('mg_{}.npy'.format(tau), data)
+

mackey_glass_parameters.csv

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+tau,lyapunov_time,initial_condition
+17,197,0.7206597
+18,138,0.7744313
+19,315,0.7783468
+20,131,0.9225991
+21,191,0.9479431
+22,119,0.5455960
+23,106,0.8622247
+24,97,0.3259660
+25,98,0.8297825
+26,104,1.0033490
+27,112,0.6491406
+28,119,1.0957495
+29,131,0.9256179
+30,139,0.2713639

mg_17.npy

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+version https://git-lfs.github.com/spec/v1
+oid sha256:5a38b38eca91667c120a3fbbe1a27859ef6071c521a03753ef1cace39d3ce745
+size 30136

mg_18.npy

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mg_19.npy

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+size 30136

mg_20.npy

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mg_21.npy

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mg_22.npy

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mg_23.npy

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mg_24.npy

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mg_25.npy

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mg_26.npy

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mg_27.npy

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mg_28.npy

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mg_29.npy

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mg_30.npy

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