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Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy 2014 Confidence domains in the analysis of noise-induced transition for Goodwin model

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Page 1: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy

Modeling of economic dynamics

under stochastic noise:

Tatyana Ryazanova with

Jochen Jungeilges

Urbino, Italy

2014

Confidence domains in the analysis of

noise-induced transition for Goodwin model

Page 2: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy
Page 3: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy
Page 4: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy
Page 5: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy
Page 6: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy
Page 7: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy
Page 8: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy
Page 9: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy
Page 10: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy

Stochastic Goodwin model

Confidence ellipse for

equilibrium

01.0,07.0

,9.00.2,,2

Confidence band for

limit cycle

1.007.0,9.0

0.2,,2

Page 11: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy
Page 12: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy
Page 13: Modeling of economic dynamics under stochastic noise · 2014-09-27 · Modeling of economic dynamics under stochastic noise: Tatyana Ryazanova with Jochen Jungeilges Urbino, Italy

Thank you for your attention!

We have demonstrated how the confidence domain

method is used to understand the qualitative changes in

stochastic dynamics and predict a critical value of the

noise intensity at which noise-induced transitions are

most likely to occur.

Conclusion