documentclass{article}
usepackage{amsmath}
usepackage[x11names]{xcolor}
usepackage{tikz}
usetikzlibrary{calc,intersections,positioning,arrows,arrows.meta,decorations.markings,decorations.pathreplacing}
usepackage{pgfplots}
pgfplotsset{compat=1.3}
pgfplotsset{every x tick label/.append style={font=tiny, yshift=0.5ex}}
pgfplotsset{every y tick label/.append style={font=tiny, xshift=0.5ex}}
pgfplotsset{every axis plot/.append style={ thick}}
usepgflibrary{shapes.misc}

%arrows along parametric plot
tikzset{
  set arrow inside/.code={pgfqkeys{/tikz/arrow inside}{#1}},
  set arrow inside={end/.initial=latex, opt/.initial=blue},
  /pgf/decoration/Mark/.style={
    mark/.expanded=at position #1 with
    {
      noexpandarrow[pgfkeysvalueof{/tikz/arrow inside/opt}]{pgfkeysvalueof{/tikz/arrow inside/end}}
    }
  },
  arrow inside/.style 2 args={
    set arrow inside={#1},
    postaction={
      decorate,decoration={
        markings,Mark/.list={#2}
      }
    }
  },
}
% end arrows along parametric plot

begin{document}
begin{center}
begin{tikzpicture}[scale=2]
begin{axis}[
    trig format plots=rad,
   axis lines=center,
    axis equal image,
    enlargelimits=true,
unit vector ratio*=1 1,
]
addplot [domain=0:2*pi,samples=200, Sienna1]({(x+2*sin(2*x))},{(x+2*cos(5*x))}) [arrow inside={}{0.02,0.12,0.25,0.35,0.42,0.52,0.65,0.75,0.90,0.97}];
end{axis}
end{tikzpicture}
end{center}
end{document}