Intelligent computing approach to solve the nonlinear Van der Pol system for heartbeat model
Sign Up to like & getrecommendations! Published in 2017 at "Neural Computing and Applications"
DOI: 10.1007/s00521-017-2949-0
Abstract: In this work, an intelligent computing algorithm is developed for finding the approximate solution of heart model based on nonlinear Van der Pol (VdP)-type second-order ordinary differential equations (ODEs) using feed-forward artificial neural networks (FF-ANNs)… read more here.
Keywords: van der; intelligent computing; nonlinear van; der pol ... See more keywords
Continuous Dependence of the Singular Nonlinear Van der Pol Equation Solutions with Respect to the Boundary Conditions: Elements of p-regularity Theory
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09849-0
Abstract: This paper studies the problem of the continuous dependence of Van der Pol equation solutions with respect to the boundary conditions. We provide a new approach for the existence of such solutions via p -regularity… read more here.
Keywords: van der; pol equation; solutions respect; equation solutions ... See more keywords
Dynamics of switching van der Pol circuits
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-016-3111-8
Abstract: This paper addresses dynamical behaviors of switching van der Pol circuits by investigating stability issues of autonomous nonlinear dynamical systems. Firstly, a kind of nonlinear dynamical systems, i.e., a piecewise/ switching autonomous nonlinear system, is… read more here.
Keywords: der pol; switching van; van der; pol circuits ... See more keywords
An incremental harmonic balance method with two time-scales for quasi-periodic responses of a Van der Pol–Mathieu equation
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Non-linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2021.103767
Abstract: Abstract An incremental harmonic balance (IHB) method with two time-scales is presented and used for calculating accurate quasi-periodic responses of a one-degree-of-freedom Van der Pol–Mathieu equation with coupled self-excited vibration and parametrically excited vibration with… read more here.
Keywords: der pol; van der; pol mathieu; mathieu equation ... See more keywords
Experimental study of robust output-based continuous sliding-modes controllers for Van der Pol oscillator
Sign Up to like & getrecommendations! Published in 2018 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2017.1142
Abstract: Robust output tracking control of Van der Pol oscillator is an important practical problem from an application point of view. Output feedback-based robust tracking control strategies are proposed in this work for that purpose. First,… read more here.
Keywords: van der; der pol; oscillator; output ... See more keywords
Ultradiscrete analogue of the van der Pol equation
Sign Up to like & getrecommendations! Published in 2022 at "Nonlinearity"
DOI: 10.1088/1361-6544/ac4a8c
Abstract: Ultradiscretization with parity variables (pUD) is a method of constructing a conditional piecewise linear equation which approximates a given difference equation. Its application is not limited to subtraction-free equation, being different from the traditional ultradiscretization.… read more here.
Keywords: der pol; equation; pol equation; van der ... See more keywords
Control of self-sustained oscillatory behavior in the dynamics of generalized Bonhoeffer-van der Pol system: Effect of asymmetric parameter
Sign Up to like & getrecommendations! Published in 2021 at "Physica Scripta"
DOI: 10.1088/1402-4896/abe010
Abstract: A generalized form of the autonomous Bonhoeffer-van der Pol (BVdP) system described by a second-order dynamical system with six independent parameters consistent with its optimal mathematical modeling, instead of three usually used, is investigated. Through… read more here.
Keywords: der pol; van der; system;
Van der Pol equation with sine nonlinearity: dynamical behavior and real time control to a target trajectory
Sign Up to like & getrecommendations! Published in 2021 at "Physica Scripta"
DOI: 10.1088/1402-4896/ac19cd
Abstract: In this work, the dynamical behavior and real time control of a target trajectory of a modified Van der Pol model so the potential is proportional to the term sinnx is proposed. A generalization in… read more here.
Keywords: der pol; dynamical behavior; van der; sine ... See more keywords
Hopf and quasi-periodic Hopf bifurcations and deterministic coherence in coupled Duffing-Holmes and Van der Pol oscillators: the Arnol’d resonance web
Sign Up to like & getrecommendations! Published in 2022 at "Physica Scripta"
DOI: 10.1088/1402-4896/ac6547
Abstract: A survey on coupled Van der Pol (VDP) and Duffing-Holmes (DH) oscillators, a model widely encountered in various branches of Physics and engineering is done. A bifurcation analysis of the model is presented when both… read more here.
Keywords: van der; der pol; quasi periodic; duffing holmes ... See more keywords
Exact Solutions and Integrability of the Duffing – Van der Pol Equation
Sign Up to like & getrecommendations! Published in 2018 at "Regular and Chaotic Dynamics"
DOI: 10.1134/s156035471804007x
Abstract: The force-free Duffing–Van der Pol oscillator is considered. The truncated expansions for finding the solutions are used to look for exact solutions of this nonlinear ordinary differential equation. Conditions on parameter values of the equation… read more here.
Keywords: van der; duffing van; der pol; equation ... See more keywords
The Dynamics Behavior of Coupled Generalized van der Pol Oscillator with Distributed Order
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/5670652
Abstract: In this paper, we presented different behaviors such as chaotic and hyperchaotic of the generalized van der Pol oscillator with distributed order. We introduced the parameter intervals of these behaviors by computing the Lyapunov exponents… read more here.
Keywords: van der; generalized van; der pol; oscillator ... See more keywords