In this paper we use a traveling wave reduction or a so-called spatial approximation to comprehensively investigate the periodic solutions of the complex cubic–quintic Ginzburg–Landau equation. The primary tools used here are Hopf bifurcation theory and perturbation theory. Explicit results are obtained for the post-bifurcation periodic orbits and their stability. Generalized and degenerate Hopf bifurcations are also briefly considered to track the emergence of global structure such as homoclinic orbits
Singularity theory is used to comprehensively investigate the bifurcations of the steady-states of t...
This work consists of a study of the complex Ginzburg-Landau equation (CGL) as a perturbation of the...
Singularity Theory is used to comprehensively investigate the bifurcations of the steady-states of t...
In this paper we use a traveling wave reduction or a so-called spatial approximation to comprehensiv...
In this paper, we use a traveling wave reduction or a so-called spatial approximation to comprehensi...
In this paper, we use a traveling wave reduction or a so-called spatial approximation to comprehensi...
In this paper, we use a traveling wave reduction or a so-called spatial approximation to comprehensi...
In this paper we use a traveling wave reduction or a so{called spatial approxima- tion to comprehens...
In this paper we use a traveling wave reduction or a so–called spatial approximation to comprehensiv...
In this dissertation, we develop a theoretical framework for five new classes of pulse or solitary w...
Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of t...
When the dispersive and diffusive effects are negligible, the complex Ginzburg-Landau equation degen...
Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of t...
Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of t...
Singularity theory is used to comprehensively investigate the bifurcations of the steady-states of t...
Singularity theory is used to comprehensively investigate the bifurcations of the steady-states of t...
This work consists of a study of the complex Ginzburg-Landau equation (CGL) as a perturbation of the...
Singularity Theory is used to comprehensively investigate the bifurcations of the steady-states of t...
In this paper we use a traveling wave reduction or a so-called spatial approximation to comprehensiv...
In this paper, we use a traveling wave reduction or a so-called spatial approximation to comprehensi...
In this paper, we use a traveling wave reduction or a so-called spatial approximation to comprehensi...
In this paper, we use a traveling wave reduction or a so-called spatial approximation to comprehensi...
In this paper we use a traveling wave reduction or a so{called spatial approxima- tion to comprehens...
In this paper we use a traveling wave reduction or a so–called spatial approximation to comprehensiv...
In this dissertation, we develop a theoretical framework for five new classes of pulse or solitary w...
Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of t...
When the dispersive and diffusive effects are negligible, the complex Ginzburg-Landau equation degen...
Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of t...
Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of t...
Singularity theory is used to comprehensively investigate the bifurcations of the steady-states of t...
Singularity theory is used to comprehensively investigate the bifurcations of the steady-states of t...
This work consists of a study of the complex Ginzburg-Landau equation (CGL) as a perturbation of the...
Singularity Theory is used to comprehensively investigate the bifurcations of the steady-states of t...