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1

Crocheting the Lorenz Manifold

Hinke M. Osinga, Bernd Krauskopf

Journal:

The Mathematical Intelligencer

Year:

2004

Language:

english

File:

PDF, 12.94 MB

english, 2004

2

Unfolding the Cusp-Cusp Bifurcation of Planar Endomorphisms

Krauskopf, Bernd, Osinga, Hinke M., Peckham, Bruce B.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2007

Language:

english

File:

PDF, 1.34 MB

english, 2007

3

Crocheting adventures with hyperbolic planes

Journal:

Journal of Mathematics and the Arts

Year:

2010

Language:

english

File:

PDF, 86 KB

english, 2010

4

Numerical Continuation Methods for Dynamical Systems || Lecture Notes on Numerical Analysis of Nonlinear Equations

Krauskopf, Bernd, Osinga, Hinke M., Galán-Vioque, Jorge

Year:

2007

Language:

english

File:

PDF, 1.42 MB

english, 2007

5

Saddle Slow Manifolds and Canard Orbits in R4$\mathbb{R}^{4}$ and Application to the Full Hodgkin–Huxley Model

Hasan, Cris R., Krauskopf, Bernd, Osinga, Hinke M.

Journal:

The Journal of Mathematical Neuroscience (JMN)

Year:

2018

Language:

english

File:

PDF, 4.32 MB

english, 2018

6

Mixed-Mode Oscillations with Multiple Time Scales

Desroches, Mathieu, Guckenheimer, John, Krauskopf, Bernd, Kuehn, Christian, Osinga, Hinke M., Wechselberger, Martin

Journal:

Year:

2012

Language:

english

File:

PDF, 3.96 MB

english, 2012

7

Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh-Nagumo system

Desroches, Mathieu, Krauskopf, Bernd, Osinga, Hinke M.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2008

Language:

english

File:

PDF, 1.88 MB

english, 2008

8

Continuation of Quasi-periodic Invariant Tori

Schilder, Frank, Osinga, Hinke M., Vogt, Werner

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2005

Language:

english

File:

PDF, 3.04 MB

english, 2005

9

Invariant manifolds and global bifurcations

Guckenheimer, John, Krauskopf, Bernd, Osinga, Hinke M., Sandstede, Björn

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2015

Language:

english

File:

PDF, 2.49 MB

english, 2015

10

Two-dimensional global manifolds of vector fields

Krauskopf, Bernd, Osinga, Hinke

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

1999

Language:

english

File:

PDF, 591 KB

english, 1999

11

Computing the Stable Manifold of a Saddle Slow Manifold

Farjami, Saeed, Kirk, Vivien, Osinga, Hinke M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2018

Language:

english

File:

PDF, 2.31 MB

english, 2018

12

Existence of blenders in a Hénon-like family: geometric insights from invariant manifold computations

Hittmeyer, Stefanie, Krauskopf, Bernd, Osinga, Hinke M, Shinohara, Katsutoshi

Journal:

Year:

2018

Language:

english

File:

PDF, 25.53 MB

english, 2018

13

Growing 1D and Quasi-2D Unstable Manifolds of Maps

Bernd Krauskopf, Hinke Osinga

Journal:

Journal of Computational Physics

Year:

1998

Language:

english

File:

PDF, 525 KB

english, 1998

14

Arnol$'$d Tongues Arising from a Grazing-Sliding Bifurcation

Szalai, Róbert, Osinga, Hinke M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2009

Language:

english

File:

PDF, 1.53 MB

english, 2009

15

Tangency Bifurcations of Global Poincaré Maps

Lee, Clare M., Collins, Pieter J., Krauskopf, Bernd, Osinga, Hinke M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2008

Language:

english

File:

PDF, 3.61 MB

english, 2008

16

Global Invariant Manifolds Near Homoclinic Orbits to a Real Saddle: (Non)Orientability and Flip Bifurcation

Aguirre, Pablo, Krauskopf, Bernd, Osinga, Hinke M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2013

Language:

english

File:

PDF, 5.69 MB

english, 2013

17

Global invariant manifolds near a Shilnikov homoclinic bifurcation

Aguirre, Pablo, Krauskopf, Bernd, Osinga, Hinke M.

Journal:

Journal of Computational Dynamics

Year:

2014

Language:

english

File:

PDF, 6.41 MB

english, 2014

18

Interacting Global Invariant Sets in a Planar Map Model of Wild Chaos

Hittmeyer, Stefanie, Krauskopf, Bernd, Osinga, Hinke M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2013

Language:

english

File:

PDF, 19.54 MB

english, 2013

19

Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields

Krauskopf, Bernd, Osinga, Hinke M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2003

Language:

english

File:

PDF, 964 KB

english, 2003

20

Geometric analysis of transient bursts

Osinga, Hinke M., Tsaneva-Atanasova, Krasimira T.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2013

Language:

english

File:

PDF, 2.07 MB

english, 2013

21

NONORIENTABLE MANIFOLDS IN THREE-DIMENSIONAL VECTOR FIELDS

OSINGA, HINKE M.

Journal:

International Journal of Bifurcation and Chaos

Year:

2003

Language:

english

File:

PDF, 1.82 MB

english, 2003

22

From wild Lorenz-like to wild Rovella-like dynamics

Hittmeyer, Stefanie, Krauskopf, Bernd, Osinga, Hinke M.

Journal:

Dynamical Systems / An International Journal

Year:

2015

Language:

english

File:

PDF, 1.18 MB

english, 2015

23

Global organization of phase space in the transition to chaos in the Lorenz system

Doedel, Eusebius J, Krauskopf, Bernd, Osinga, Hinke M

Journal:

Year:

2015

Language:

english

File:

PDF, 7.54 MB

english, 2015

24

Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B

Giraldo, Andrus, Krauskopf, Bernd, Osinga, Hinke M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2017

Language:

english

File:

PDF, 5.25 MB

english, 2017

25

Parameter-dependent behaviour of periodic channels in a locus of boundary crisis

James Rankin,Hinke M. Osinga

Journal:

The European Physical Journal Special Topics

Year:

2017

Language:

english

File:

PDF, 416 KB

english, 2017

26

Finding First Foliation Tangencies in the Lorenz System

Creaser, Jennifer L., Krauskopf, Bernd, Osinga, Hinke M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2017

Language:

english

File:

PDF, 7.88 MB

english, 2017

27

Understanding the geometry of dynamics: the stable manifold of the Lorenz system

Osinga, Hinke M.

Journal:

Journal of the Royal Society of New Zealand

Year:

2018

Language:

english

File:

PDF, 1.84 MB

english, 2018

28

Tangencies Between Global Invariant Manifolds and Slow Manifolds Near a Singular Hopf Bifurcation

Mujica, José, Krauskopf, Bernd, Osinga, Hinke M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2018

Language:

english

File:

PDF, 6.38 MB

english, 2018

29

Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study

Giraldo, Andrus, Krauskopf, Bernd, Osinga, Hinke M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2018

Language:

english

File:

PDF, 15.63 MB

english, 2018

30

Fourier methods for quasi-periodic oscillations

Frank Schilder, Werner Vogt, Stephan Schreiber, Hinke M. Osinga

Journal:

International Journal for Numerical Methods in Engineering

Year:

2006

Language:

english

File:

PDF, 6.34 MB

english, 2006

31

Full system bifurcation analysis of endocrine bursting models

Krasimira Tsaneva-Atanasova, Hinke M. Osinga, Thorsten Rieß, Arthur Sherman

Journal:

Journal of Theoretical Biology

Year:

2010

Language:

english

File:

PDF, 2.15 MB

english, 2010

32

The role of large-conductance Calcium-activated (BK) channels in shaping bursting oscillations of a somatotroph cell model

Jakub Nowacki, Siti Mazlan, Hinke M. Osinga, Krasimira Tsaneva-Atanasova

Journal:

Physica D: Nonlinear Phenomena

Year:

2010

Language:

english

File:

PDF, 4.55 MB

english, 2010

33

Boundary crisis in quasiperiodically forced systems

Hinke M. Osinga, Ulrike Feudel

Journal:

Physica D: Nonlinear Phenomena

Year:

2000

Language:

english

File:

PDF, 368 KB

english, 2000

34

Sensitivity analysis to explain the excitability in a pyramidal neuron with application to Alzheimer’s disease

Jakub Nowacki, Hinke M Osinga, Jon T Brown, Andrew D Randall, Krasimira Tsaneva-Atanasova

Journal:

BMC Neuroscience

Year:

2011

Language:

english

File:

PDF, 265 KB

english, 2011

35

Modeling Mechanisms of Cell Secretion

Krasimira Tsaneva-Atanasova, Hinke M. Osinga, Joël Tabak, Morten Gram Pedersen

Journal:

Acta Biotheoretica

Year:

2010

Language:

english

File:

PDF, 438 KB

english, 2010

36

The Geometry of the Solution Set of Nonlinear Optimal Control Problems

Hinke M. Osinga, John Hauser

Journal:

Journal of Dynamics and Differential Equations

Year:

2006

Language:

english

File:

PDF, 335 KB

english, 2006

37

Efficient computation of quasiperiodic oscillations in nonlinear systems with fast rotating parts

Frank Schilder, Jan Rübel, Jens Starke, Hinke M. Osinga, Bernd Krauskopf, Mizuho Inagaki

Journal:

Nonlinear Dynamics

Year:

2008

Language:

english

File:

PDF, 1.07 MB

english, 2008

38

Resetting Behavior in a Model of Bursting in Secretory Pituitary Cells: Distinguishing Plateaus from Pseudo-Plateaus

Julie V. Stern, Hinke M. Osinga, Andrew LeBeau, Arthur Sherman

Journal:

Bulletin of Mathematical Biology

Year:

2008

Language:

english

File:

PDF, 641 KB

english, 2008

39

Two-dimensional invariant manifolds in four-dimensional dynamical systems

Journal:

Computers & Graphics

Year:

2005

Language:

english

File:

PDF, 476 KB

english, 2005

40

Global invariant manifolds in the transition to preturbulence in the Lorenz system

Eusebius J. Doedel, Bernd Krauskopf, Hinke M. Osinga

Journal:

Indagationes Mathematicae

Year:

2011

Language:

english

File:

PDF, 2.71 MB

english, 2011

41

A unified model of CA1/3 pyramidal cells: An investigation into excitability

Jakub Nowacki, Hinke M. Osinga, Jon T. Brown, Andrew D. Randall, Krasimira Tsaneva-Atanasova

Journal:

Progress in Biophysics and Molecular Biology

Year:

2011

Language:

english

File:

PDF, 1.49 MB

english, 2011

42

Visualizing the structure of chaos in the Lorenz system

Hinke M Osinga, Bernd Krauskopf

Journal:

Computers & Graphics

Year:

2002

Language:

english

File:

PDF, 4.28 MB

english, 2002

43

Continuation-based Computation of Global Isochrons

Osinga, Hinke M., Moehlis, Jeff

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2010

Language:

english

File:

PDF, 5.48 MB

english, 2010

44

Numerical Continuation Methods for Dynamical Systems ||

Krauskopf, Bernd, Osinga, Hinke M., Galán-Vioque, Jorge

Year:

2007

Language:

english

File:

PDF, 17.10 MB

english, 2007

45

Dynamical systems analysis of spike-adding mechanisms in transient bursts

Jakub Nowacki, Hinke M Osinga…

Journal:

The Journal of Mathematical Neuroscience (JMN)

Year:

2012

Language:

english

File:

PDF, 1.16 MB

english, 2012

46

Boundary crisis bifurcation in two parameters

Osinga, Hinke M.

Journal:

Journal of Difference Equations and Applications

Year:

2006

Language:

english

File:

PDF, 1.03 MB

english, 2006

47

Continuation-Based Numerical Detection of After-Depolarization and Spike-Adding Thresholds

Nowacki, Jakub, Osinga, Hinke M., Tsaneva-Atanasova, Krasimira T.

Journal:

Neural Computation

Year:

2013

Language:

english

File:

PDF, 640 KB

english, 2013

48

The singular limit of a Hopf bifurcation

Guckenheimer, John, Osinga, Hinke M.

Journal:

Discrete and Continuous Dynamical Systems

Year:

2012

Language:

english

File:

PDF, 2.02 MB

english, 2012

49

Understanding anomalous delays in a model of intracellular calcium dynamics

Harvey, Emily, Kirk, Vivien, Osinga, Hinke M., Sneyd, James, Wechselberger, Martin

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2010

Language:

english

File:

PDF, 3.12 MB

english, 2010

50

Locus of boundary crisis: Expect infinitely many gaps

Osinga, Hinke M.

Journal:

Physical Review E

Year:

2006

Language:

english

File:

PDF, 400 KB

english, 2006