Hao-Pin Wu
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View article: Transmitted Torque Analysis of Coaxial Magnetic Gears with Different Pole-Pair Numbers
Transmitted Torque Analysis of Coaxial Magnetic Gears with Different Pole-Pair Numbers Open
Transmitted torque is an important performance index of coaxial magnetic gears. This study focuses on the effects of pole-pair numbers on the maximum torque capacity and torque ripple of coaxial magnetic gearsOwing to the magnetic resistan…
View article: Nonlinear Vibrations in the Fullerene Molecule $C_{60}$
Nonlinear Vibrations in the Fullerene Molecule $C_{60}$ Open
In this paper we analyze nonlinear dynamics of the fullerene molecule. We prove the existence of global branches of periodic solutions emerging from an icosahedral equilibrium (nonlinear normal modes). We also determine the symmetric prope…
View article: Hopf bifurcation of relative periodic solutions in a system of five passively mode-locked lasers
Hopf bifurcation of relative periodic solutions in a system of five passively mode-locked lasers Open
The goal of this paper is to study the equivariant Hopf bifurcation of relative periodic solutions from relative equilibria in a system of five identical passively mode-locked semiconductor lasers coupled in the S 5 -equivariant fashion.Ea…
View article: On Some Applications of Group Representation Theory to Algebraic Problems Related to the Congruence Principle for Equivariant Maps
On Some Applications of Group Representation Theory to Algebraic Problems Related to the Congruence Principle for Equivariant Maps Open
Given a finite group $G$ and two unitary $G$-representations $V$ and $W$, possible restrictions on Brouwer degrees of equivariant maps between representation spheres $S(V)$ and $S(W)$ are usually expressed in a form of congruences modulo t…
View article: Bifurcation of Space Periodic Solutions in Symmetric Reversible FDEs
Bifurcation of Space Periodic Solutions in Symmetric Reversible FDEs Open
In this paper, we propose an equivariant degree based method to study bifurcation of periodic solutions (of constant period) in symmetric networks of reversible FDEs. Such a bifurcation occurs when eigenvalues of linearization move along t…
View article: Multiple Periodic Solutions for $Γ$-symmetric Newtonian Systems
Multiple Periodic Solutions for $Γ$-symmetric Newtonian Systems Open
The existence of periodic solutions in $Γ$-symmetric Newtonian systems $\ddot{x}=-\nabla f(x)$ can be effectively studied by means of the $(Γ\times O(2))$-equivariant gradient degree with values in the Euler ring $U(Γ\times O(2))$. In this…
View article: Multiple Periodic Solutions for $\Gamma$-symmetric Newtonian Systems
Multiple Periodic Solutions for $\Gamma$-symmetric Newtonian Systems Open
The existence of periodic solutions in $\\Gamma$-symmetric Newtonian systems\n$\\ddot{x}=-\\nabla f(x)$ can be effectively studied by means of the\n$(\\Gamma\\times O(2))$-equivariant gradient degree with values in the Euler ring\n$U(\\Gam…
View article: Bifurcation of space periodic solutions in symmetric reversible FDEs
Bifurcation of space periodic solutions in symmetric reversible FDEs Open
In this paper, we propose an equivariant degree based method to study bifurcation of periodic solutions (of constant period) in symmetric networks of reversible FDEs. Such a bifurcation occurs when eigenvalues of linearization move along t…