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1

The Theory of Chaotic Attractors || Measuring the Strangeness of Strange Attractors

Hunt, Brian R., Li, Tien-Yien, Kennedy, Judy A., Nusse, Helena E.

Year:

2004

Language:

english

File:

PDF, 2.19 MB

english, 2004

2

The Theory of Chaotic Attractors || Period Three Implies Chaos

Hunt, Brian R., Li, Tien-Yien, Kennedy, Judy A., Nusse, Helena E.

Year:

2004

Language:

english

File:

PDF, 902 KB

english, 2004

3

Border-collision bifurcations including “period two to period three” for piecewise smooth systems

Helena E. Nusse, James A. Yorke

Journal:

Physica D: Nonlinear Phenomena

Year:

1992

Language:

english

File:

PDF, 1.26 MB

english, 1992

4

BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS

NUSSE, HELENA E., YORKE, JAMES A.

Journal:

International Journal of Bifurcation and Chaos

Year:

1995

Language:

english

File:

PDF, 1.54 MB

english, 1995

5

A procedure for finding numerical trajectories on chaotic saddles

Helena E. Nusse, James A. Yorke

Journal:

Physica D: Nonlinear Phenomena

Year:

1989

Language:

english

File:

PDF, 2.96 MB

english, 1989

6

Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth Systems

Dutta, Mitrajit, Nusse, Helena E., Ott, Edward, Yorke, James A., Yuan, Guohui

Journal:

Physical Review Letters

Year:

1999

Language:

english

File:

PDF, 380 KB

english, 1999

7

Wada basin boundaries and basin cells

Helena E. Nusse, James A. Yorke

Journal:

Physica D: Nonlinear Phenomena

Year:

1996

Language:

english

File:

PDF, 1.80 MB

english, 1996

8

Fractal Basin Boundaries with Unique Dimension

CELSO GREBOGI, EDWARD OTT, JAMES A. YORKE, HELENA E. NUSSE

Journal:

Annals of the New York Academy of Sciences

Year:

1987

Language:

english

File:

PDF, 463 KB

english, 1987

9

Period halving for xn+1=MF(xn) where F has negative schwarzian derivative

Helena E. Nusse, James A. Yorke

Journal:

Physics Letters A

Year:

1988

Language:

english

File:

PDF, 597 KB

english, 1988

10

Fractal Basin Boundaries Generated by Basin Cells and the Geometry of Mixing Chaotic Flows

Nusse, Helena E., Yorke, James A.

Journal:

Physical Review Letters

Year:

2000

Language:

english

File:

PDF, 300 KB

english, 2000

11

Bifurcations of basins of attraction from the view point of prime ends

Helena E. Nusse, James A. Yorke

Journal:

Topology and its Applications

Year:

2007

Language:

english

File:

PDF, 469 KB

english, 2007

12

Stagger-and-Step Method: Detecting and Computing Chaotic Saddles in Higher Dimensions

Sweet, David, Nusse, Helena E., Yorke, James A.

Journal:

Physical Review Letters

Year:

2001

Language:

english

File:

PDF, 121 KB

english, 2001

13

Does an Unstable Keynesian Unemployment Equilibrium in a Non-Walrasian Dynamic Macroeconomic Model Imply Chaos?

Cars H. Hommes and Helena E. Nusse

Journal:

The Scandinavian Journal of Economics

Year:

1989

Language:

english

File:

PDF, 552 KB

english, 1989

14

Is every approximate trajectory of some process near an exact trajectory of a nearby process?

Helena E. Nusse, James A. Yorke

Journal:

Communications in Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 1.28 MB

english, 1988

15

SLYRB measures: natural invariant measures for chaotic systems

Brian R. Hunt, Judy A. Kennedy, Tien-Yien Li, Helena E. Nusse

Journal:

Physica D: Nonlinear Phenomena

Year:

2002

Language:

english

File:

PDF, 532 KB

english, 2002

16

The equality of fractal dimension and uncertainty dimension for certain dynamical systems

Helena E. Nusse, James A. Yorke

Journal:

Communications in Mathematical Physics

Year:

1992

Language:

english

File:

PDF, 1.23 MB

english, 1992

17

“Period three to period two” bifurcation for piecewise linear models

Cars H. Hommes, Helena E. Nusse

Journal:

Journal of Economics

Year:

1991

Language:

english

File:

PDF, 540 KB

english, 1991

18

Scaling properties of saddle-node bifurcations on fractal basin boundaries

Breban, Romulus, Nusse, Helena E., Ott, Edward

Journal:

Physical Review E

Year:

2003

Language:

english

File:

PDF, 1.32 MB

english, 2003

19

[Applied Mathematical Sciences] Dynamics: Numerical Explorations Volume 101 || Basins of Attraction

Nusse, Helena E., Yorke, James A., Kostelich, Eric J.

Year:

1994

Language:

english

File:

PDF, 4.08 MB

english, 1994

20

Dynamics: Numerical Explorations

Nusse, Helena E., Yorke, James A., Ditto, William L.

Journal:

Year:

1995

Language:

english

File:

PDF, 453 KB

english, 1995

21

Wild hyperbolic sets, yet no chance for the coexistence of infinitely many KLUS-simple Newhouse attracting sets

Helena E. Nusse, Laura Tedeschini-Lalli

Journal:

Communications in Mathematical Physics

Year:

1992

Language:

english

File:

PDF, 785 KB

english, 1992

22

The Theory of Chaotic Attractors || The Dimension of Chaotic Attractors

Hunt, Brian R., Li, Tien-Yien, Kennedy, Judy A., Nusse, Helena E.

Year:

2004

Language:

english

File:

PDF, 3.41 MB

english, 2004

23

Cycles and chaos in a socialist economy

Cars H. Hommes, Helena E. Nusse, András Simonovits

Journal:

Journal of Economic Dynamics and Control

Year:

1995

Language:

english

File:

PDF, 1.59 MB

english, 1995

24

Lack of predictability in dynamical systems with drift: scaling of indeterminate saddle-node bifurcations

Romulus Breban, Helena E. Nusse, Edward Ott

Journal:

Physics Letters A

Year:

2003

Language:

english

File:

PDF, 242 KB

english, 2003

25

Border-collision bifurcations: An explanation for observed bifurcation phenomena

Nusse, Helena E., Ott, Edward, Yorke, James A.

Journal:

Physical Review E

Year:

1994

File:

PDF, 790 KB

1994

26

Robust Dangerous Border-Collision Bifurcations in Piecewise Smooth Systems

Hassouneh, Munther A., Abed, Eyad H., Nusse, Helena E.

Journal:

Physical Review Letters

Year:

2004

Language:

english

File:

PDF, 98 KB

english, 2004

27

Book reviews

Helena E. Nusse, P. Schönfeld, B. C. J. van Velthoven, H. -W. Sinn, A. Parikh, G. C. Blomquist, D. W. Pearce

Journal:

Journal of Economics

Year:

1994

Language:

english

File:

PDF, 1.83 MB

english, 1994

28

"Period Three to Period Two" Bifurcation for Piecewise Linear Models

Cars H. Hommes and Helena E. Nusse

Journal:

Journal of Economics

Year:

1991

Language:

english

File:

PDF, 918 KB

english, 1991

29

Publisher’s Note: Scaling properties of saddle-node bifurcations on fractal basin boundaries [Phys. Rev. E 68, 066213 (2003)]

Breban, Romulus, Nusse, Helena E., Ott, Edward

Journal:

Physical Review E

Year:

2004

File:

PDF, 7 KB

2004

30

The Theory of Chaotic Attractors || Invariant Measures and the Variational Principle for Lozi Mappings

Hunt, Brian R., Li, Tien-Yien, Kennedy, Judy A., Nusse, Helena E.

Year:

2004

Language:

english

File:

PDF, 2.73 MB

english, 2004

31

Universal behavior of impact oscillators near grazing incidence

Wai Chin, Edward Ott, Helena E. Nusse, Celso Grebogi

Journal:

Physics Letters A

Year:

1995

Language:

english

File:

PDF, 679 KB

english, 1995

32

Characterizing the basins with the most entangled boundaries

NUSSE, HELENA E., YORKE, JAMES A.

Journal:

Ergodic Theory and Dynamical Systems

Year:

2003

Language:

english

File:

PDF, 708 KB

english, 2003

33

The Theory of Chaotic Attractors ||

Hunt, Brian R., Li, Tien-Yien, Kennedy, Judy A., Nusse, Helena E.

Year:

2004

Language:

english

File:

PDF, 53.01 MB

english, 2004

34

Chaotic Dynamics. Theory and Applications to Economicsby A. Medio; G. Gallo

Review by: Helena E. Nusse

Journal:

Journal of Economics

Year:

1994

Language:

english

File:

PDF, 766 KB

english, 1994

35

Book reviews

K. W. Rothschild, Karen Ehlers, E. Sterken, Katrin Wesche, Kristina Kostial, A. Medio, Helena E. Nusse

Journal:

Journal of Economics

Year:

1994

Language:

english

File:

PDF, 1.13 MB

english, 1994

36

Grazing bifurcations in impact oscillators

Chin, Wai, Ott, Edward, Nusse, Helena E., Grebogi, Celso

Journal:

Physical Review E

Year:

1994

File:

PDF, 3.69 MB

1994

37

Analysis of a procedure for finding numerical trajectories close to chaotic saddle hyperbolic sets

Nusse, Helena E., Yorke, James A.

Journal:

Ergodic Theory and Dynamical Systems

Year:

1991

Language:

english

File:

PDF, 1.25 MB

english, 1991

38

The structure of basins of attraction and their trapping regions

NUSSE, HELENA E., YORKE, JAMES A.

Journal:

Ergodic Theory and Dynamical Systems

Year:

1997

Language:

english

File:

PDF, 273 KB

english, 1997

39

The Theory of Chaotic Attractors || On the Concept of Attractor

Hunt, Brian R., Li, Tien-Yien, Kennedy, Judy A., Nusse, Helena E.

Year:

2004

Language:

english

File:

PDF, 2.61 MB

english, 2004

40

On the creation of Wada basins in interval maps through fixed point tangent bifurcation

Romulus Breban, Helena E. Nusse

Journal:

Physica D: Nonlinear Phenomena

Year:

2005

Language:

english

File:

PDF, 284 KB

english, 2005

41

Saddle-Node Bifurcations on Fractal Basin Boundaries

Nusse, Helena E., Ott, Edward, Yorke, James A.

Journal:

Physical Review Letters

Year:

1995

Language:

english

File:

PDF, 869 KB

english, 1995

42

Analysis of the complicated dynamics of some harvesting models

Kenneth L. Cooke, Helena E. Nusse

Journal:

Journal of Mathematical Biology

Year:

1987

Language:

english

File:

PDF, 1.23 MB

english, 1987

43

The Theory of Chaotic Attractors || Strange attractors and chaotic motions of dynamical systems

Hunt, Brian R., Li, Tien-Yien, Kennedy, Judy A., Nusse, Helena E.

Year:

2004

Language:

english

File:

PDF, 2.75 MB

english, 2004

44

Chaotic attractors, chaotic saddles, and fractal basin boundaries: Goodwin's nonlinear accelerator model reconsidered

Hans-Walther Lorenz, Helena E Nusse

Journal:

Chaos, Solitons & Fractals

Year:

2002

Language:

english

File:

PDF, 232 KB

english, 2002

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