11-4 ODE 檔??進???

be@`Aڭ̤wD ODE ɮתgkAp vdp1.mBvdp2.m lorenzOde.m Cb`ANi@B ODE ɮתiΪkAH ODE OtBǽTaXnGC

Aڭ̥iN tspan]nɶd^By0]_lȡ^ options]ODEѼơ^m ODE ɮפAoܼƥ ODE ɮ׶Ǧ^A榡G

[tspan, y0, options] = odeFile([], [], 'init')

䤤ڭ̰] odeFile YOڭ̪ ODE ɮסCY odeFile WznDAhڭ̥iHIs ODE OpUG

[t, y] = solver('odeFile')

䤤 solver ez@ ODE OAi odeFile o tspanBy0 options nһݪTC

Hez van der Pol ҡAYnǦ^ tspanBy0 optionsAvdp1.m gpU]vdp3.m^G

11-`L{/vdp3.mfunction [output1, output2, output3] = vdp3(t, y, flag) if strcmp(flag, '') mu = 1; output1 = [y(2); mu*(1-y(1)^2)*y(2)-y(1)]; % dy/dt elseif strcmp(flag, 'init'), output1 = [0; 25]; % Time span output2 = [3; 3]; % Initial conditions output3 = odeset; % ODE options end

ɧڭ̥iHIs ODE OpUG

Example 1: 11-`L{/odeAdvanced01.mode45('vdp3')

~Avan der Pol L{@ӰѼ $\mu$AYƱq~ǤJѼƪȡAڭ̥iN vdp3.m gvdp4.mA䤺epUG

11-`L{/vdp4.mfunction [output1, output2, output3] = vdp4(t, y, flag, mu) if nargin < 4 | isempty(mu), mu = 1; end if strcmp(flag, '') output1 = [y(2); mu*(1-y(1)^2)*y(2)-y(1)]; % dy/dt elseif strcmp(flag, 'init'), output1 = [0; 25]; % Time span output2 = [3; 3]; % Initial conditions output3 = odeset; % ODE options end

$\mu$ Nܦ@ӿܩʡ]Optional^ѼơAw]Ȭ 1CbUҤAڭ̱N $\mu$ ȱq MATLAB ǤJAõeXP $\mu$ ȤU van der Pol {AܼơG

Example 2: 11-`L{/odeAdvanced02.msubplot(2,1,1); ode45('vdp4', [], [], [], 1); % mu=1 subplot(2,1,2); ode45('vdp4', [], [], [], 3); % mu=3

bWϤA$\mu$ ȤOO 1 3COCΨF\hůx}AoǪůx}Nuιw]ȡvA] ode45 |q vdp4.m ήɶ϶ܼư_lȡCƹWAz]iHǤJGөΧhѼơAMATLAB ODE OiǤJѼƭӼƨõL]C

~AѨM䥦 ODEs DAEs]Differential Algebra Equations^AODE ɮץibPX]Flag^UǦ^PTAHUO@ӧ㪺CG

zG odeset ͪ ODE ﶵ
XǦ^
]Ŧr^dy(=F(t,y))
inittspan, yo options
jacobianJacobian x} J(t,y) = $\partial F/\partial Y$
jpatternJacobian sparsity pattern x}
mass M(t,y)y' = F(t,y) Ҷqx} M
eventswqƥoIUظT

|̦]`ΨAbAحzC쪺Ū̥iѦ MATLAB ODE UC


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