Мягкое и жесткое возбуждение автоколебаний

independent: {
    t: 0
},
dependent: {
    //x: [4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0.5, 1, 1.5, 2, 3, 4],
    //y: [0, 1, 2, 3, 4, 4, 4, 4, 4, 3, 2, 1.5, 1, 0.5, 0, 0, 0, 0, 0, 0, 0],
	 x: [2,0.1],
     y: [0,0],
	 v: [2, 0.1],
     u: [0, 0],
},
parameters: {
    c: {
        min: -2,
        max: 2,
        value: -1.5
    },
},
derivatives: {
    dx_dt: 'x*(c-(x*x+y*y))-2*3.14*y',
    dy_dt: 'y*(c-(x*x+y*y))+2*3.14*x',
	du_dt: 'u*(c+2*(u*u+v*v)-(u*u+v*v)*(u*u+v*v))-2*3.14*v',
    dv_dt: 'v*(c+2*(u*u+v*v)-(u*u+v*v)*(u*u+v*v))+2*3.14*u',
},
solver: {
    step: 0.01,
    accuracy: 0.01,
    autostop: 10,
},
param_charts: [
  [
  { func: 'r1(c)', equation: '0',            accuracy:   0.01, bounds: { min: -2, max: 0 }, options: {lines: { lineWidth: 4}, color: 'red' } },
  { func: 'r1(c)', equation: '0',            accuracy:   0.01, bounds: { min:  0, max: 2 }, options: {lines: { lineWidth: 1}, color: 'red' } },
  { func: 'r1(c)', equation: 'Math.sqrt(c)', accuracy:   0.01, bounds: { min:  0, max: 2 }, options: {lines: { lineWidth: 4}, color: 'blue'  } },
  ],
  [
  { func: 'r2(c)', equation: '0',                            accuracy:   0.01, bounds: { min: -2, max: 0 }, options: {lines: { lineWidth: 4}, color: 'red' } },
  { func: 'r2(c)', equation: '0',                            accuracy:   0.01, bounds: { min:  0, max: 2 }, options: {lines: { lineWidth: 1}, color: 'red' } },
  { func: 'r2(c)', equation: 'Math.sqrt(1-Math.sqrt(1+c))',  accuracy:   0.01, bounds: { min: -1, max: 0 }, options: {lines: { lineWidth: 1}, color: 'green' } },
  { func: 'r2(c)', equation: 'Math.sqrt(1+Math.sqrt(1+c))',  accuracy:   0.01, bounds: { min: -1, max: 2 }, options: {lines: { lineWidth: 4}, color: 'blue'  } },
  ],
],

limit_points: {
    r1: '[0,Math.sqrt(c)]',
	r2: '[0,Math.sqrt(1+Math.sqrt(1+c)),Math.sqrt(1-Math.sqrt(1+c))]',
},
point_colors: ['red','blue','green'],

solver: {
    step: 0.01,
    accuracy: 0.01,
    autostop: 10,
},
plot_options: { 
    'x':  { min: -2, max: 2, },
	'y':  { min: -2, max: 2, },
	'u':  { min: -2, max: 2, },
	'v':  { min: -2, max: 2, },
    'r1': { min: -2, max: 2, },
	'r2': { min: -2, max: 2, },
},
plots: {
	'y(x)' :{set_variables: function(o) {o.u=undefined;o.v=undefined;}, shadowSize: 0},
	'r1(c)':true,
	'y(t)':{set_variables: function(o) {for (i in o) delete o[i];}},
    'x(t)':{set_variables: function(o) {for (i in o) delete o[i];}},
    'u(v)' :{set_variables: function(o) {o.x=undefined;o.y=undefined;}, shadowSize: 0},
	'r2(c)':true,
	'u(t)':{set_variables: function(o) {for (i in o) delete o[i];}},
	'v(t)':{set_variables: function(o) {for (i in o) delete o[i];}},
}

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