Add to ORKGThe class of second-order linear dynamical sys tems is considered. A method and algorithm are presented to transform any system with n degrees of freedom into n independent second-order equations. The conversion utilizes a real, invertible but nonlinear mapping and is applicable to practically every linear system. Two examples from earthquake engineering are provided to indicate the utility of this approach. © 2011 Societ y for Industrial and Applied Mathematics
A nonlinear transformation approach based on a cubication method is developed to obtain the equivale...
We consider a new idea for model reduction of second order dynamical systems. It is based on a new t...
Equivalence of certain classes of second-order non-linear distributed parameter systems and correspo...
The class of second-order linear dynamical sys tems is considered. A method and algorithm are presen...
Linear second-order ordinary differential equations arise from Newton's second law combined with Hoo...
We consider the class of real second-order linear dynamical systems that admit real diagonal forms w...
We will construct new nonlinear dynamical systems from linear differential equations of second order...
In this paper, a new approach to the study of non-linear, non-autonomous systems is presented. The m...
It has been shown in a previous paper that there is a real-valued transformation from the general N ...
The equation of motion of a discrete linear system has the form of a second-order ordinary different...
We consider a new idea for model reduction of second order dynamical sys-tems. It is based on a new ...
We study the linearization of nonlinear second-order ordinary differential equations from the point ...
We consider a new idea for model reduction of second order dynamical systems. It is based on a new t...
The formation of nonlinear shocks does not occur for nonlinear hyperbolic partial differential equat...
It was demonstrated in earlier work that a nondefective, linear dynamical system with an invertible ...
A nonlinear transformation approach based on a cubication method is developed to obtain the equivale...
We consider a new idea for model reduction of second order dynamical systems. It is based on a new t...
Equivalence of certain classes of second-order non-linear distributed parameter systems and correspo...
The class of second-order linear dynamical sys tems is considered. A method and algorithm are presen...
Linear second-order ordinary differential equations arise from Newton's second law combined with Hoo...
We consider the class of real second-order linear dynamical systems that admit real diagonal forms w...
We will construct new nonlinear dynamical systems from linear differential equations of second order...
In this paper, a new approach to the study of non-linear, non-autonomous systems is presented. The m...
It has been shown in a previous paper that there is a real-valued transformation from the general N ...
The equation of motion of a discrete linear system has the form of a second-order ordinary different...
We consider a new idea for model reduction of second order dynamical sys-tems. It is based on a new ...
We study the linearization of nonlinear second-order ordinary differential equations from the point ...
We consider a new idea for model reduction of second order dynamical systems. It is based on a new t...
The formation of nonlinear shocks does not occur for nonlinear hyperbolic partial differential equat...
It was demonstrated in earlier work that a nondefective, linear dynamical system with an invertible ...
A nonlinear transformation approach based on a cubication method is developed to obtain the equivale...
We consider a new idea for model reduction of second order dynamical systems. It is based on a new t...
Equivalence of certain classes of second-order non-linear distributed parameter systems and correspo...