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- open access
Bifurcation analysis of a predator-prey system with density dependent disease recovery
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Bistability and stabilization of human visual perception under ambiguous stimulation
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- Journal Article
- A1
- open access
Local bifurcation and continuation of a non-linear hydro-turbine governing system in a single-machine infinite-bus power system
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Sensitivity analysis and low frequency oscillations for bifurcation scenarios in a hydraulic generating system
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- Miscellaneous
- open access
A bifurcation approach to bistability and stabilization in human visual perception
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- Journal Article
- A1
- open access
Remarks on homoclinic structure in Bogdanov-Takens map
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Numerical bifurcation analysis of homoclinic orbits embedded in one-dimensional manifolds of maps
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- Conference Paper
- P1
- open access
Using MatContM in the study of a nonlinear map in economics
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- Journal Article
- A1
- open access
Initialization of homoclinic solutions near Bogdanov-Takens points : Lindstedt-Poincaré compared with regular perturbation method
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Chaos and periodic solutions in a dynamic monopoly model
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New asymptotics of homoclinic orbits near Bogdanov-Takens bifurcation point
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Accurate approximation of homoclinic solutions in Gray–Scott kinetic model
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Stability analysis rabies model in animals with the effect of vaccination and sterilization
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On periodic and chaotic behavior in a two-dimensional monopoly model
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- Conference Paper
- C3
- open access
Practical initialization of homoclinic orbits from a Bogdanov-Takens point
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Computational study of a budding yeast model of Tyson and Novák
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Improved homoclinic predictor for Bogdanov–Takens bifurcation
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WOX5-IAA17 feedback circuit-mediated cellular auxin response is crucial for the patterning of root stem cell niches in Arabidopsis
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- Journal Article
- A1
- open access
Analysis of bifurcations of limit cycles with Lyapunov exponents and numerical normal forms
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Numerical computation of bifurcations in large equilibrium systems in Matlab
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- Journal Article
- A1
- open access
Numerical periodic normalization for codim 2 bifurcations of limit cycles : computational formulas, numerical implementation, and examples
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Interactive initialization and continuation of homoclinic and heteroclinic orbis in MATLAB
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- Journal Article
- A1
- open access
Resonance and bifurcation in a discrete-time predator-prey system with Holling functional response
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Numerical computation of normal form coefficients of ODEs in MATLAB
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Feedback models for polarized auxin transport : an emerging trend
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Model-based analysis of arabidopsis leaf epidermal cells reveals distinct division and expansion patterns for pavement and guard cells
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- Journal Article
- A1
- open access
Codimension-two bifurcations of fixed points in a class of discrete prey-predator systems
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Prototype cell-to-cell auxin transport mechanism by intracellular auxin compartmentalization
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Recycling, clustering, and endocytosis jointly maintain PIN auxin carrier polarity at the plasma membrane
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- Conference Paper
- C1
- open access
A study of resonance tongues near a Chenciner bifurcation using MatContM
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- Journal Article
- A1
- open access
Emergence of tissue polarization form synergy of intracellular and extracellular auxin signaling
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- Journal Article
- A1
- open access
Convergence analysis of a numerical method to solve the adjoint linearized periodic orbit equations
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- Journal Article
- A1
- open access
Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation
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Numerical implementation of a homotopy method for computing homoclinic and heteroclinic orbits
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Using MatCont in a two-parameter bifurcation study of models for cell cycle controls
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Numerical continuation of connecting orbits of maps in MATLAB
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Atypical E2F activity restrains APC/C-CCS52A2 function obligatory for endocycle onset
(2008) PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA. 105(38). p.14721-14726 -
Stable cycles in a Cournot duopoly model of Kopel
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New features of the software MatCont for bifurcation analysis of dynamical systems
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Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs
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Interactive continuation tools.
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Numerical methods for two-parameter local bifurcation analysis of maps
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Numerical continuation of branch points of equilibria and periodic orbits
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Computation of the phase response curve: A direct numerical approach
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Phase response curves, delays and synchronization in Matlab
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Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model
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Matcont
(2006) Scholarpedia. -
Laudatio Guido Vanden Berghe
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MatCont: Matlab Software for Bifurcation Study of Dynamical Systems
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Numerical continuation of fixed points of maps in Cl_MatCont