Some Data and Some Recurrence Plots

StockSP500=FinancialData["^GSPC", {{2011, 1, 1}, {2016, 12, 31}}, "Value"];
SP500Returns = Table[StockSP500[[k+1]]- StockSP500[[k]], {k, 1, Length[StockSP500]-1}];
StockApple = FinancialData["NASDAQ:AAPL", {{2016, 1, 1}, {2017, 9, 31}}, "Value"];
AppleReturns = Table[StockApple[[k+1]] - StockApple[[k]], {k, 1, Length[StockApple]-1}];
BostonTemp = QuantityMagnitude[WeatherData["Boston","MeanTemperature",{{2011,6, 20, 0, 0, 0}, {2016, 12, 31, 0, 0, 0}, "Day"}]["Values"]];

Rand = RandomReal[{0, 1}, 1000];

LooselyPeriodic=Table[Mod[x+RandomReal[], 20], {x, 1, 400}];

s=NDSolve[{x'[t]==10(y[t]-x[t]),y'[t]==x[t](28-z[t])-y[t],z'[t]==x[t] y[t]-8/3*z[t],x[0]==z[0]==1,y[0]==1},{x,y,z},{t,0,500},MaxSteps->∞];

LorenzValues=Flatten[Table[Evaluate[{x[t]}/.s],{t,0,100, .1}]];

AnnualWaterLevelMichigan = {83.3,83.5,83.2,82.6,82.2,82.1,81.7,82.2,81.6,82.1,82.7,82.8,81.5,82.2,82.3,82.1,83.6,82.7,82.5,81.5,82.1,82.2,82.6,83.3,83.1,83.3,83.7,82.9,82.3,81.8,81.6,80.9,81,81.3,81.4,80.2,80,80.9,80.8,81.1,80.7,81.1,80.8,80.8,81.5,81.6,81.5,81.6,81.8,81.1,80.5,80,80.7,81.3,80.7,80,81.1,81.9,81.9,81.3,81,80.5,80.6,79.8,79.6,78.5,78.5,79.6,80.6,82.3,81.2,79.1,78.6,78.7,78,78.6,78.7,78.6,79.7,80,79.3,79,80.2,81.5,80.8,81,81,81.1,80.8,79.7,80,81.6,82.7,82.1,81.7,81.5};

MonthlyChaosSince04={67,63,58,56,55,52,58,53,49,47,50,60,64,69,75,100,72,57,56,55,61,51,54,64,59,61,59,45,47,45,47,49,47,47,54,66,66,64,59,47,48,48,50,47,43,43,43,50,50,54,60,55,46,51,51,49,46,48,45,49,49,47,46,43,44,47,45,45,42,42,39,42,43,42,46,46,50,47,42,42,37,39,37,42,47,43,43,51,49,53,57,47,45,49,44,44,43,44,41,41,40,41,41,44,43,41,38,41,41,40,41,40,39,38,39,39,34,35,35,36,36,37,36,36,37,37,39,38,34,34,34,36,35,32,33,35,35,38,41,38,38,35,34,36,36,32,35,35,36,37,36,30,30,31,31,31,33,32,32,30,30,29,30,41,29,30,27};

MonthlyMathSince04={30,32,30,30,28,23,18,22,33,32,30,25,30,31,30,30,29,23,17,22,34,32,31,24,31,32,31,28,29,23,16,22,33,32,29,24,29,30,29,28,28,22,16,22,33,33,30,25,29,31,29,31,30,23,16,21,34,34,31,27,32,36,36,34,34,26,18,23,37,39,37,33,38,42,45,44,46,31,17,24,41,44,43,38,47,52,53,53,57,37,23,32,53,58,59,54,60,67,74,69,84,49,30,39,63,66,65,64,66,71,67,70,74,45,27,38,66,72,71,61,64,72,70,71,81,49,27,41,80,87,78,72,78,83,82,83,90,51,25,45,89,91,81,70,63,69,67,70,72,37,19,41,78,71,65,59,67,74,74,65,81,36,19,42,74,81,100};

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