Hinke Osinga
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Dutch mathematician in New Zealand
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Hinke Osingamathematics Degrees
Mathematics
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Measure Theory
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Mathematics
Hinke Osinga's Degrees
- PhD Mathematics University of Groningen
- Masters Mathematics University of Groningen
Why Is Hinke Osinga Influential?
(Suggest an Edit or Addition)According to Wikipedia, Hinke Maria Osinga is a Dutch mathematician and an expert in dynamical systems. She works as a professor of applied mathematics at the University of Auckland in New Zealand. As well as for her research, she is known as a creator of mathematical art.
Hinke Osinga's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Mixed-Mode Oscillations with Multiple Time Scales (2012) (465)
- Numerical Continuation Methods for Dynamical Systems (2007) (325)
- A Survey of Methods for Computing (un)Stable Manifolds of Vector Fields (2005) (265)
- Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems (2007) (147)
- Growing 1D and Quasi-2D Unstable Manifolds of Maps (1998) (127)
- Continuation of Quasi-periodic Invariant Tori (2005) (116)
- Two-dimensional global manifolds of vector fields. (1999) (98)
- Full system bifurcation analysis of endocrine bursting models. (2010) (96)
- A set oriented approach to global optimal control (2004) (96)
- Algorithms for computing normally hyperbolic invariant manifolds (1997) (89)
- Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh-Nagumo system. (2008) (84)
- Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse (2004) (80)
- Computing Invariant Manifolds via the Continuation of Orbit Segments (2007) (79)
- The Geometry of Slow Manifolds near a Folded Node (2008) (79)
- Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields (2003) (76)
- Global bifurcations of the Lorenz manifold (2006) (75)
- Fourier methods for quasi‐periodic oscillations (2006) (71)
- Continuation-based Computation of Global Isochrons (2010) (58)
- Nonlinear Dynamics and Chaos : Where do we go from here? (2002) (53)
- Resetting Behavior in a Model of Bursting in Secretory Pituitary Cells: Distinguishing Plateaus from Pseudo-Plateaus (2008) (51)
- Globalizing Two-Dimensional Unstable Manifolds of Maps (1998) (47)
- Computing One-Dimensional Global Manifolds of Poincaré Maps by Continuation (2005) (40)
- A unified model of CA1/3 pyramidal cells: an investigation into excitability. (2011) (40)
- Multistability and nonsmooth bifurcations in the Quasiperiodically forced Circle Map (2000) (40)
- Visualizing the structure of chaos in the Lorenz system (2002) (39)
- Global invariant manifolds in the transition to preturbulence in the Lorenz system (2011) (39)
- Dynamical systems analysis of spike-adding mechanisms in transient bursts (2012) (37)
- Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields (2010) (36)
- Boundary crisis in quasiperiodically forced systems (2000) (36)
- CROSS-CURRENTS BETWEEN BIOLOGY AND MATHEMATICS: THE CODIMENSION OF PSEUDO-PLATEAU BURSTING. (2012) (35)
- Crocheting the Lorenz Manifold (2004) (34)
- Arnol'd Tongues Arising from a Grazing-Sliding Bifurcation (2009) (34)
- Dynamics of Plateau Bursting Depending on the Location of its Equilibrium (2010) (32)
- Investigating torus bifurcations in the forced Van der Pol oscillator (2000) (31)
- Understanding anomalous delays in a model of intracellular calcium dynamics. (2010) (31)
- Invariant polygons in systems with grazing-sliding. (2008) (31)
- A Survey of Methods for Computing (un)stable Manifolds of Vector Fields (2006) (30)
- Global organization of phase space in the transition to chaos in the Lorenz system (2015) (28)
- On the computation of invariant manifolds of fixed points (1995) (28)
- Global Invariant Manifolds Near Homoclinic Orbits to a Real Saddle: (Non)Orientability and Flip Bifurcation (2013) (27)
- Computing Two-Dimensional Global Invariant Manifolds in Slow-fast Systems (2007) (27)
- Solving Winfree's puzzle: the isochrons in the FitzHugh-Nagumo model. (2014) (26)
- The geometry of mixed-mode oscillations in the Olsen model for peroxidase-oxidase reaction (2009) (26)
- Invariant manifolds and global bifurcations. (2015) (26)
- Tangency Bifurcations of Global Poincaré Maps (2008) (26)
- Bifurcation analysis of a smoothed model of a forced impacting beam and comparison with an experiment (2013) (25)
- Continuation of quasiperiodic invariant tori (2006) (24)
- On the geometry of optimal control: the inverted pendulum example (2001) (22)
- Global invariant manifolds near a Shilnikov homoclinic bifurcation (2014) (22)
- The Geometry of the Solution Set of Nonlinear Optimal Control Problems (2006) (21)
- Mixed-Mode Oscillations and Twin Canard Orbits in an Autocatalytic Chemical Reaction (2017) (20)
- Crocheting adventures with hyperbolic planes (2010) (19)
- Nonorientable Manifolds in Three-Dimensional Vector Fields (2003) (19)
- Tangencies Between Global Invariant Manifolds and Slow Manifolds Near a Singular Hopf Bifurcation (2018) (18)
- The role of large-conductance Calcium-activated K+ (BK) channels in shaping bursting oscillations of a somatotroph cell model (2010) (18)
- Exploring the dynamics of a class of post-tensioned, moment resisting frames (2011) (18)
- Computing invariant manifolds (1996) (17)
- Bifurcations of Stable Sets in Noninvertible Planar Maps (2005) (17)
- Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B (2017) (17)
- Interacting Global Invariant Sets in a Planar Map Model of Wild Chaos (2013) (16)
- COVER ILLUSTRATION: The Lorenz manifold as a collection of geodesic level sets (2004) (16)
- Two-dimensional invariant manifolds in four-dimensional dynamical systems (2005) (15)
- Geometric analysis of transient bursts. (2013) (15)
- α-flips and T-points in the Lorenz system (2015) (14)
- Modeling Mechanisms of Cell Secretion (2010) (13)
- Locus of boundary crisis: expect infinitely many gaps. (2006) (12)
- The singular limit of a Hopf bifurcation (2012) (12)
- Numerical approximations of strong (un)stable manifolds (2004) (12)
- A continuation method for computing global isochrons (2009) (12)
- Growing Unstable Manifolds of Planar Maps (1997) (11)
- Boundary crisis bifurcation in two parameters (2006) (11)
- Forward-Time and Backward-Time Isochrons and Their Interactions (2015) (10)
- Finding First Foliation Tangencies in the Lorenz System (2017) (10)
- Efficient computation of quasiperiodic oscillations in nonlinear systems with fast rotating parts (2008) (10)
- Computing the Stable Manifold of a Saddle Slow Manifold (2018) (10)
- Chaos and Wild Chaos in Lorenz-Type Systems (2014) (9)
- Saddle Slow Manifolds and Canard Orbits in R4$\mathbb{R}^{4}$ and Application to the Full Hodgkin–Huxley Model (2018) (9)
- Existence of blenders in a Hénon-like family: geometric insights from invariant manifold computations (2018) (9)
- On the computation of normally hyperbolic invariant manifolds (1996) (8)
- Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study (2018) (8)
- Saddle Slow Manifolds and Canard Orbits in R4 and Application to the Full Hodgkin–Huxley Model (2017) (8)
- Non-orientable manifolds of periodic orbits (2000) (8)
- Unfolding the Cusp-Cusp Bifurcation of Planar Endomorphisms (2007) (8)
- Interactions of the Julia Set with Critical and (Un)Stable Sets in an Angle-Doubling Map on ℂ\{0} (2015) (8)
- Bifurcations and Limit Dynamics in Adaptive Control Systems (2005) (7)
- Transient spike adding in the presence of equilibria (2016) (7)
- A Lin's method approach for detecting all canard orbits arising from a folded node (2017) (7)
- From wild Lorenz-like to wild Rovella-like dynamics (2015) (7)
- Computing invariant manifolds : variations on graph transform (1996) (6)
- Global isochrons of a planar system near a phaseless set with saddle equilibria (2016) (5)
- How to identify a hyperbolic set as a blender (2020) (5)
- Quantitative modeling and analysis of bifurcation-induced bursting (2017) (5)
- Interactions between a locally separating stable manifold and a bursting periodic orbit (2018) (5)
- Continuation-Based Numerical Detection of After-Depolarization and Spike-Adding Thresholds (2013) (5)
- Numerical study of manifold computations (2005) (5)
- SEPARATING MANIFOLDS IN SLOW-FAST SYSTEMS (2005) (4)
- How to Crochet a Space-Filling Pancake: the Math, the Art and What Next (2014) (4)
- Visualizing global manifolds during the transition to chaos in the Lorenz system (2009) (4)
- Unstable manifolds of a limit cycle near grazing (2008) (3)
- The Lorenz manifold: Crochet and curvature (2006) (3)
- Computing a normally hyperbolic invariant manifold of saddle type (1996) (3)
- Cross-currents between biology and mathematics on models of bursting (2011) (3)
- Computing connecting orbits to infinity associated with a homoclinic flip bifurcation (2022) (3)
- Two-parameter locus of boundary crisis: mind the gaps! (2010) (3)
- Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model (2019) (3)
- Understanding the geometry of dynamics: the stable manifold of the Lorenz system (2018) (3)
- Saddle Slow Manifolds and Canard Orbits in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{R}^{4}$\end{document (2018) (3)
- Determining the global manifold structure of a continuous-time heterodimensional cycle (2019) (3)
- COMPARISON OF ROBUSTLY STABILIZING CONTROLLERS FOR A FLEXIBLE BEAM MODEL WITH ADDITIVE, MULTIPLICATIVE AND STABLE FACTOR PERTURBATIONS (1993) (2)
- A Continuation Approach to Computing Phase Resetting Curves (2020) (2)
- Computing Global Invariant Manifolds : Techniques and Applications (2014) (2)
- A Lin ’ s Method Approach for Detecting Canard Orbits near a Folded Node (2017) (2)
- A Surface of Heteroclinic Connections Between Two Saddle Slow Manifolds in the Olsen Model (2020) (2)
- Parameter-dependent behaviour of periodic channels in a locus of boundary crisis (2017) (2)
- Bifurcations of the Global Stable Set of a Planar Endomorphism Near a Cusp Singularity (2008) (2)
- A Codimension-Four Singularity with Potential for Action (2016) (2)
- The geometry of blenders in a three-dimensional Hénon-like family (2017) (2)
- Visualizing the transition to chaos in the Lorenz system (2006) (2)
- Multistability in the quasiperiodically forced circle map (2001) (2)
- Modeling and Computations in Dynamical Systems (2006) (2)
- The Sculpture Manifold: A Band from a Surface, a Surface from a Band (2008) (1)
- Geodesic parametrization of global invariant manifolds, or what does the Equadiff 2003 poster show? (2005) (1)
- Boxing-in of a blender in a Hénon-like family (2023) (1)
- the cusp-cusp bifurcation of planar endomorphisms. (2006) (1)
- Stability of periodic travelling waves in a Rock-Paper-Scissors model (2019) (1)
- A mathematical approach to computing structural-failure boundaries (2017) (1)
- Codimension-one tangency bifurcations of global Poincaré maps of four-dimensional vector fields (2009) (1)
- Generalized Mandelbrot and Julia Sets in a Family of Planar Angle-Doubling Maps (2020) (1)
- Matching geometric and expansion characteristics of wild chaotic attractors (2022) (1)
- Numerical continuation of spiral waves in heteroclinic networks of cyclic dominance (2020) (1)
- Visualization of geodesic level sets on global manifolds (2006) (1)
- Characterising blenders via covering relations and cone conditions (2022) (1)
- Sensitivity analysis to explain the excitability in a pyramidal neuron with application to Alzheimer’s disease (2011) (1)
- Slow negative feedback enhances robustness of square-wave bursting. (2023) (0)
- Proceedings of Dynamic Systems Applications (1996) (0)
- Matching geometric and expansion characteristics of wild chaotic attractors (2022) (0)
- Preface: Special issue on continuation methods and applications (2022) (0)
- Global isochrons of a planar system near a phaseless set with saddle equilibria (2016) (0)
- Isochron foliations and global bifurcations: a case study (2022) (0)
- Direct computation of failure boundaries (2016) (0)
- Interview with Herbert Bishop Keller (2009) (0)
- Prelims and Preface (2001) (0)
- Transient spike adding in the presence of equilibria (2016) (0)
- How Chaos Arises from a Homoclinic Flip Bifurcation (2017) (0)
- Dynamical systems analysis of spike-adding mechanisms in transient bursts (2012) (0)
- Generalized Julia Sets: from Cantor Bouquet to Cantor Cheese (2019) (0)
- Interactions between a locally separating stable manifold and a bursting periodic orbit (2018) (0)
- Adaptive Topographies and Equilibrium Selection in an Evolutionary Game (2015) (0)
- Understanding the Geometry of Dynamics: Invariant Manifolds and their Interactions (2017) (0)
- Boundary crisis: mind the gaps! (2006) (0)
- The Lorenz manifold (2006) (0)
- Parameter-dependent behaviour of periodic channels in a locus of boundary crisis (2017) (0)
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