scholarly journals Applications of the Network Simulation Method to Differential Equations with Singularities and Chaotic Behaviour

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1442
Author(s):  
Joaquín Solano ◽  
Francisco Balibrea ◽  
José Andrés Moreno
Keyword(s):  
Differential Equations ◽  
Network Simulation ◽  
Simulation Method ◽  
Parabolic Mirror ◽  
Electronic Circuits ◽  
Van Der Pol ◽  
Non Linear Equation ◽  
Non Linear ◽  
Linear Differential ◽  
Network Simulation Method

In this paper, we deal with some applications of the network simulation method (NMS) to the non-linear differential equations derived of a parametric family associated to stated problems by Newton in and others like the parabolic mirror and van der Pol non-linear equation. We underly the efficientcy of the (NMS) method, compare it with Matlab procedures and present figures of solutions of the equations obtained by it on the mentioned problems. Additionally, we introduce also the electric-electronic circuits we have designed to be able of obtaining the solutions of the referred equations.

scholarly journals Study of the application of PCM to thermal insulation of UUV hulls using Network Simulation Method

2021 ◽  
Vol 60 (5) ◽  
pp. 4627-4637
Author(s):  
Juan Francisco Sánchez-Pérez ◽  
Carlos Mascaraque-Ramírez ◽  
Jose Andrés Moreno Nicolás ◽  
Enrique Castro ◽  
Manuel Cánovas
Keyword(s):  
Thermal Insulation ◽  
Network Simulation ◽  
Simulation Method ◽  
Network Simulation Method

scholarly journals On non-homogeneous canonical third-order linear differential equations

1994 ◽  
Vol 57 (2) ◽  
pp. 138-148 ◽  
Author(s):  
N. Parhi
Keyword(s):  
Differential Equations ◽  
Linear Equations ◽  
Sufficient Conditions ◽  
Linear Differential Equations ◽  
Third Order ◽  
Order Linear ◽  
Non Linear ◽  
Linear Differential ◽  
Non Linear Equations

AbstractIn this paper sufficient conditions have been obtained for non-oscillation of non-homogeneous canonical linear differential equations of third order. Some of these results have been extended to non-linear equations.

scholarly journals Pendulum with aerodynamic and viscous damping

2020 ◽  
Vol 3 (2) ◽  
pp. 43-47
Author(s):  
Herlin Soraya
Keyword(s):  
Differential Equations ◽  
Stable State ◽  
The State ◽  
Linear Differential Equations ◽  
Viscous Damping ◽  
Viscous Damper ◽  
Aerodynamic Damping ◽  
Non Linear ◽  
Linear Differential ◽  
The Relationship

In this paper we discuss about how the relationship between non-linear differential equations on aerodynamic damping with linearly viscous damping equations. And it turns out after analyzing that the changes that occur pendulum that changes from the start of the maximum state to a stable state takes time so that changes that occur until the state is stable, this change can be reduced with the use of viscous damper

scholarly journals Boundedness of Solutions for Second Order Differential Equations

2020 ◽  
Vol 12 (4) ◽  
pp. 58
Author(s):  
Daniel C. Biles
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Linear Differential Equations ◽  
Boundedness Of Solutions ◽  
Second Order Differential Equations ◽  
All Solutions ◽  
Non Linear ◽  
Linear Differential

We present new theorems which specify sufficient conditions for the boundedness of all solutions for second order non-linear differential equations. Unboundedness of solutions is also considered.

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