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Bifurcation scenario in a driven R-L-diode circuit

Physica D: Nonlinear Phenomena, 1987
Abstract A detailed study is made of the bifurcation scenario of a driven R-L-diode circuit. A surprisingly simple 2-D map model is proposed which captures all essential features of the experimentally observed bifurcation phenomena. By identifying the relationships between the parameters of the circuit and the parameters of this 2-D map model, the ...
S. Tanaka, T. Matsumoto, L.O. Chua
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Bifurcation scenarios of spatio-temporal spiking in semiconductor devices

Physics Letters A, 1994
Abstract Various semiconductor devices with an S-shaped current-voltage characteristics exhibit complex self-organized spatio- temporal spiking where a current filament nucleates and vanishes immediately afterwards. We analyze a simple generic model for this type of behaviour, and find a variety of scenarios where stationary filaments, homogeneous ...
S. Bose, A. Wacker, E. Schöll
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DEGENERATE BIFURCATION SCENARIOS IN THE DYNAMICS OF COUPLED OSCILLATORS WITH SYMMETRIC NONLINEARITIES

International Journal of Bifurcation and Chaos, 2005
We study the degenerate bifurcations of nonlinear normal modes (NNMs) of an unforced system consisting of a linear oscillator weakly coupled to an essentially nonlinear one. The potentials of both the oscillator and the coupling spring are adopted to be even-power polynomials with non-negative coefficients.
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Bifurcation Scenario of the Davydov-Scott Self-Trapping Mode

Europhysics Letters (EPL), 1995
The dynamical theory of a quantum quasi-particle moving in a deformable anharmonic chain is extended into the supersonic region. Besides a supersonic self-trapping mode, which is a direct extension of the well-known subsonic Davydov-Scott mode, two additional dynamically stable transfer mechanisms have been discovered in this region: (i) the capture ...
A. V Zolotaryuk   +2 more
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Bifurcation scenario leading to multiple pulse emission in VECSELs

Vertical External Cavity Surface Emitting Lasers (VECSELs) IX, 2019
Depending on the operation conditions of mode-locked semiconductor lasers different dynamical regimes exist and are well understood. However, if the amplifying and the absorbing material are embedded in a V-shaped external cavity, new multi-pulse (pulse cluster) solutions emerge.
Jan Hausen   +2 more
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A Gallery of Bifurcation Scenarios in Piecewise Smooth 1D Maps

2012
We give a brief overview of several bifurcation scenarios occurring in 1D piecewise monotone maps defined on two partitions, continuous or discontinuous. A collection of some basic blocks is proposed, which may be observed in particular bifurcation sequences of a system of interest both in regular and chaotic parameter domains.
Viktor Avrutin, Iryna Sushko
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New universal bifurcation scenario in one-dimensional trimodal maps

Physics Letters A, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Zhong, Cao, Ke-Fei, Peng, Shou-Li
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Bifurcation Scenarios in Electrostatic Vibration Energy Harvesters

2012
In this paper, we present numerical bifurcation analysis of an electrostatic vibration energy harvester operating in constant-charge mode and using the in-plane gap closing transducer. We show how the system can be represented as a nonlinear oscillator and analysed using methods of nonlinear dynamics.
O'Riordan, Eoghan   +4 more
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Hopf Bifurcation Scenario of a Stochastic Aeroelastic Model with Cubic Nonlinearities

51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference<BR> 18th AIAA/ASME/AHS Adaptive Structures Conference<BR> 12th, 2010
This paper presents a numerical study of the stochastic Hopf bifurcation of a two-degree-of-freedom noisy aeroelastic system oscillating in pitch and plunge, with a cubic non-linearity in pitch. We consider a mathematical model expressed by a non-linear system of Stratonovich stochastic differential equations.
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Consumer sentiment and business cycles: a Neimark–Sacker bifurcation scenario

Applied Economics Letters, 2008
We seek to demonstrate that consumer sentiment may create fluctuations in economic activity. Our nonlinear discrete-time model possesses, for instance, a Neimark–Sacker bifurcation, after which a stable steady state is replaced by (quasi-)periodic motion. Countercyclical interventions to stabilize the economy may even produce complex (chaotic) business
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