Dynamic analysis of noncanonical warm inflation

We study and analyze the dynamic properties of both canonical and noncanonical warm inflationary models with dissipative effects. We consider different models of canonical warm inflation with different dissipative coefficients and prove that the behavior at infinity of quadratic dissipative model distinctly differs from that of the constant dissipative model, which means that quadratic dissipative coefficient increases the possibility of the occurrence of inflation. We also show that the different choice of combination of the parameters in noncanonical warm inflation exhibits dramatically different global phase portraits on the Poincar\'{e} disk. We try to illustrate that the noncanonical field will not expand the regime of inflation, but it will increase the possibility of the occurrence of inflation as well and the duration of inflation. Then, by dynamic analysis, we can exclude several inflationary models, like the warm inflation model, with negative dissipative coefficients, and explain that the model without potential is almost impossible. With relevant results, we give the condition when reheating occurs.
Comment: 13 pages, 11 figures