Search Results - "Nusse, Helena E."

Chaotic attractors, chaotic saddles, and fractal basin boundaries: Goodwin's nonlinear accelerator model reconsidered by Lorenz, Hans-Walther, Nusse, Helena E

“…Goodwin's nonlinear accelerator model with periodic investment outlays is reconsidered and used as an economic example of the emergence of complex motion in…”
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Robust dangerous border-collision bifurcations in piecewise smooth systems by Hassouneh, Munther A, Abed, Eyad H, Nusse, Helena E

“…Physical and computer experiments involving systems describable by piecewise smooth continuous maps that are nondifferentiable on some surface in phase space…”
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On the creation of Wada basins in interval maps through fixed point tangent bifurcation by Breban, Romulus, Nusse, Helena E.

“…Basin boundaries play an important role in the study of dynamics of nonlinear models in a variety of disciplines such as biology, chemistry, economics,…”
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Basins of Attraction by Nusse, Helena E., Yorke, James A.

“…Many remarkable properties related to chaos have been found in the dynamics of nonlinear physical systems. These properties are often seen in detailed computer…”
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Stagger-and-step method: detecting and computing chaotic saddles in higher dimensions by Sweet, D, Nusse, H E, Yorke, J A

“…Chaotic transients occur in many experiments including those in fluids, in simulations of the plane Couette flow, and in coupled map lattices. These transients…”
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Scaling properties of saddle-node bifurcations on fractal basin boundaries by Breban, Romulus, Nusse, Helena E, Ott, Edward

“…We analyze situations where a saddle-node bifurcation occurs on a fractal basin boundary. Specifically, we are interested in what happens when a system…”
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Periodicity versus chaos in the dynamics of cobweb models by Gallas, Jason A.C., Nusse, Helena E.

“…This paper studies the dynamics of economic models when two parameters are simultaneously varied and concentrates on the dynamics of the cobweb model with…”
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Cycles and chaos in a socialist economy by Hommes, Cars H., Nusse, Helena E., Simonovits, András

“…This paper deals with the dynamics of a continuous piecewise linear model of a socialist economy. The model has Hicksian-type nonlinearities: it is a linear…”
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The equality of fractal dimension and uncertainty dimension for certain dynamical systems by NUSSE, H. E, YORKE, J. A

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Is every approximate trajectory of some process near an exact trajectory of a nearby process? by NUSSE, H. E, YORKE, J. A

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"Period Three to Period Two" Bifurcation for Piecewise Linear Models by Hommes, Cars H., Nusse, Helena E.

“…In Hommes, Nusse, and Simonovits (1990) the dynamics of a simple economic model was studied. Although this piecewise linear model is quite simple, its dynamics…”
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Wild hyperbolic sets, yet no chance for the coexistence of infinitely many KLUS-simple newhouse attracting sets by NUSSE, H. E, TEDESCHINI-LALLI, L

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Border-collision bifurcations: An explanation for observed bifurcation phenomena by Nusse, HE, Ott, E, Yorke, JA

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Bifurcations of basins of attraction from the view point of prime ends by Nusse, Helena E., Yorke, James A.

“…In dynamical systems examples are common in which two or more attractors coexist, and in such cases the basin boundary is nonempty and the basins often have…”
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Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth Systems by Dutta, Mitrajit, Nusse, Helena E., Ott, Edward, Yorke, James A., Yuan, Guohui

“…There exists a variety of physically interesting situations described by continuous maps that are nondifferentiable on some surface in phase space. Such…”
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Wada basin boundaries and basin cells by Nusse, Helena E., Yorke, James A.

“…In dynamical systems examples are common in which two or more attractors coexist, and in such cases the basin boundary is nonempty. We consider a…”
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Does an Unstable Keynesian Unemployment Equilibrium in a Non-Walrasian Dynamic Macroeconomic Model Imply Chaos? by Hommes, Cars H., Nusse, Helena E.

“…The non-Walrasian model introduced by Simonovits (1982) is based on a disequilibrium model with inventory dynamics. Simonovits conjectures that, if the…”
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Fractal basin boundaries generated by basin cells and the geometry of mixing chaotic flows by Nusse, HE, Yorke, JA

“…Experiments and computations indicate that mixing in chaotic flows generates certain coherent spatial structures. If a two-dimensional basin has a basin cell…”
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Lack of predictability in dynamical systems with drift: scaling of indeterminate saddle-node bifurcations by Breban, Romulus, Nusse, Helena E., Ott, Edward

“…We consider systems that depend slowly on time (i.e., they drift) in such a way that the system slowly sweeps through a saddle-node bifurcation of a periodic…”
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Universal behavior of impact oscillators near grazing incidence by Chin, Wai, Ott, Edward, Nusse, Helena E., Grebogi, Celso

“…A grazing bifurcation is the bifurcation that takes place as a mechanical oscillator system evolves smoothly from a nonimpacting to an impacting state. This…”
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