On the numerical approximation of trajectories in the phase plane

DOI10.1016/S0096-3003(00)00148-XzbMath1027.37050OpenAlexW2077604347MaRDI QIDQ1855150

Tony Narayaninsamy

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00148-x

zbMATH Keywords

symbolic computationperiodic solutiondifferential equationattractorRunge-Kutta methodnumerical computation

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Approximation methods and numerical treatment of dynamical systems (37M99)

Cites Work

• Chaos in limit cycle systems with external periodic excitations
• A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations
• Variable stepsize diagonally implicit multistage integration methods for ordinary differential equations
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• On the Numerical Approximation of Phase Portraits Near Stationary Points
• Defect Correction for Two-Point Boundary Value Problems on Nonequidistant Meshes

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