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    һ׺ηǾϵy(tng)H0pfֲоՓ

    r(sh)g2022-08-29 12:20:07 Փ ҪͶ
    • P(gun)]

    һ׺ηǾϵy(tng)H0pfֲоՓ

    ժҪоһПoǾԻ֏(f)Ď׺ηǾϵy(tng)Hopβ톖}ȣ(yng)Lagrange̽ˎ׺ηǾԄ(dng)W(xu)\(yn)(dng)΢ַƽc(din)ķֲ(wn)Եȏ(f)s(dng)W(xu)О̩ռ(j)(sh)(du)ԭϵy(tng)ƽM(jn)ν?ci)A.Van del Pol_(dng)õηǾLienardϵy(tng)ȻHopβՓõϵy(tng)ڷֲͻ׃c(din)(g)Hopβڷֲϵy(tng)ƽc(din)(wn)԰l(f)׃ƽc(din)F(xin)Oޭh(hun)

    һ׺ηǾϵy(tng)H0pfֲоՓ

    P(gun)I~׺ηǾϵy(tng)ηǾHopfֲOޭh(hun)Runge-Kutta

    ׺ηǾǮ(dng)ƌW(xu)g(sh)c̑(yng)н(jng)ҪǾأcϷǾ|ǾԘ(gu)ɹ̑(yng)оеǾԆ}ڟoǾԳF(xin)һµĎ׺ηǾԄ(dng)ϵy(tng)ԓϵy(tng)SDSmooth anddiscontinuousӼSDԓهϵy(tng)(sh)F(xin)⻬(dng)W(xu)Bm(x)(dng)W(xu)D(zhun)wԡ

    оǾVan del Pol_(dng)SDӵHopfֲՓõϵy(tng)ĶHopfֲО(sh)ֵģM(yn)C׺ηǾϵy(tng)ĶOޭh(hun)F(xin)

    1.׺ηǾԄ(dng)W(xu)ϵy(tng)

    1.1W(xu)ģ

    SDW(xu)ģͣ҂ˎ׺ηǾԄ(dng)W(xu)ϵy(tng)SDӣW(xu)ģһ(g)|(zh)KmB|(zh)Kһ(du)Aб܉Ϙ(gu).ɵĄϵ(sh)ȻLȷքekLĩ˹̶һ(g)ԵmȻṩԻ؏(f)ģ͎׺ηǾԘ(gu)͵ĸ׃ʹ|(zh)KϵˮƽF(xin)鏊(qing)oǾԡ

    2.׺ηǾϵy(tng)\(yn)(dng)΢ַ̞

    HopfֲՓоϵy(tng)ƽc(din)ֲa(chn)(wn)B(ti)ڽĆ}˼ǻڽ(jng)䷀(wn)Փķ̵Ĕz(dng)ⷀ(wn)ԁЄeƽc(din)ķ(wn).HopfCϵy(tng)ڷֲֵ̎ƽc(din)ֲһ(g)dzڽ(du)(yng)ϵy(tng)ĘOޭh(hun)ϵy(tng)l(f)ʎʎʧ(wn)׷ۙϵy(tng)ƽ_ֲc(din)λ(du)˽oǾϵy(tng)(wn)Լ׃Ҏ(gu)Ҫx

    3.Y(ji)Z

    ·δ_(dng)׺ηǾϵy(tng)Ĺ⻬cBm(x)(dng)W(xu)D(zhun)wƽc(din)ֲ֏(f)ܺ(sh)oVander Pol_(dng)ϵy(tng)HoDfֲ?xing)l.ՓY(ji)׺ηǾϵy(tng)Hopfֲ(wn)ԵĿcO(sh)Ӌ(j)(sh)xȡṩՓ(j)

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