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Bifurcation scenario in a driven R-L-diode circuit
Physica D: Nonlinear Phenomena, 1987Abstract 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, 1994Abstract 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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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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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), 1995The 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, 2019Depending 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
2012We 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, 2008zbMATH 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
2012In 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, 2010This 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, 2008We 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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