[图书][B] Elements of applied bifurcation theory
YA Kuznetsov, IA Kuznetsov, Y Kuznetsov - 1998 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …
impact of computer technology, the growing importance of computer modeling and the …
Chebyshev–Taylor parameterization of stable/unstable manifolds for periodic orbits: implementation and applications
JD Mireles James, M Murray - International Journal of Bifurcation …, 2017 - World Scientific
This paper develops a Chebyshev–Taylor spectral method for studying stable/unstable
manifolds attached to periodic solutions of differential equations. The work exploits the …
manifolds attached to periodic solutions of differential equations. The work exploits the …
Writing the programs of programmable catalysis
YM Psarellis, ME Kavousanakis, PJ Dauenhauer… - ACS …, 2023 - ACS Publications
It has long been known that non-steady state and periodic catalytic reactor operation in
terms of temperature, pressure, and composition can lead to higher overall productivity …
terms of temperature, pressure, and composition can lead to higher overall productivity …
Parameterization of invariant manifolds for periodic orbits I: Efficient numerics via the Floquet normal form
We present an efficient numerical method for computing Fourier--Taylor expansions of (un)
stable manifolds associated with hyperbolic periodic orbits. Three features of the method are …
stable manifolds associated with hyperbolic periodic orbits. Three features of the method are …
A Lin's method approach to finding and continuing heteroclinic connections involving periodic orbits
B Krauskopf, T Rieß - Nonlinearity, 2008 - iopscience.iop.org
We present a numerical method for finding and continuing heteroclinic connections of vector
fields that involve periodic orbits. Specifically, we concentrate on the case of a codimension …
fields that involve periodic orbits. Specifically, we concentrate on the case of a codimension …
Stabilization and complex dynamics in a predator–prey model with predator suffering from an infectious disease
BW Kooi, GAK van Voorn, K pada Das - Ecological Complexity, 2011 - Elsevier
We study the effects of a non-specified infectious disease of the predator on the dynamics a
predator–prey system, by evaluating the dynamics of a three-dimensional model. The …
predator–prey system, by evaluating the dynamics of a three-dimensional model. The …
Continuation-based computation of global isochrons
HM Osinga, J Moehlis - SIAM Journal on Applied Dynamical Systems, 2010 - SIAM
Isochrons are foliations of phase space that extend the notion of phase of a stable periodic
orbit to the basin of attraction of this periodic orbit. Each point in the basin of attraction lies on …
orbit to the basin of attraction of this periodic orbit. Each point in the basin of attraction lies on …
Looking more closely at the Rabinovich–Fabrikant system
MF Danca, M Feckan, N Kuznetsov… - International Journal of …, 2016 - World Scientific
Recently, we looked more closely into the Rabinovich–Fabrikant system, after a decade of
study [Danca & Chen, 2004], discovering some new characteristics such as cycling chaos …
study [Danca & Chen, 2004], discovering some new characteristics such as cycling chaos …
Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem
MJ Capiński, S Kepley, JDM James - Journal of Differential Equations, 2023 - Elsevier
This paper considers two point boundary value problems for conservative systems defined
in multiple coordinate systems, and develops a flexible a posteriori framework for computer …
in multiple coordinate systems, and develops a flexible a posteriori framework for computer …
Continuation and bifurcation of grain boundaries in the Swift--Hohenberg equation
We study grain boundaries between striped phases in the prototypical Swift--Hohenberg
equation. We propose an analytical and numerical far-field-core decomposition that allows …
equation. We propose an analytical and numerical far-field-core decomposition that allows …