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The loss of stability of induction motor controlled by Indirect Field Oriented Control (IFOC) is a matter of great concern of operators and design engineers. This paper reports indices to detect and predict stability problem such as system…

Chaotic Dynamics · Physics 2014-10-28 Krishnendu Chakrabarty , Urmila Kar

Systems with the coexistence of different stable attractors are widely exploited in systems biology in order to suitably model the differentiating processes arising in living cells. In order to describe genetic regulatory networks several…

Dynamical Systems · Mathematics 2010-07-16 V. Lanza , L. Ponta , M. Bonnin , F. Corinto

Vector fields that are discontinuous on codimension-one surfaces are known as Filippov systems and can have attracting periodic orbits involving segments that are contained on a discontinuity surface of the vector field. In this paper we…

Dynamical Systems · Mathematics 2015-05-20 David J. W. Simpson , Rachel Kuske

An initial-value problem for arbitrary small 3D vorticity perturbations imposed on a free shear flow is considered. The viscous perturbation equations are then combined in terms of the vorticity and velocity, and are solved by means of a…

Fluid Dynamics · Physics 2015-03-13 S. Scarsoglio , D. Tordella , W. O. Criminale

Microresonators are micron-scale optical systems that confine light using total internal reflection. These optical systems have gained interest in the last two decades due to their compact sizes, unprecedented measurement capabilities, and…

We investigate pattern formation in self-oscillating systems forced by an external periodic perturbation. Experimental observations and numerical studies of reaction-diffusion systems and an analysis of an amplitude equation are presented.…

Pattern Formation and Solitons · Physics 2009-10-31 A. L. Lin , A. Hagberg , A. Ardelea , M. Bertram , H. L. Swinney , E. Meron

We investigate the dynamics and the stability of the incompressible flow past a corrugated dragonfly-inspired airfoil in the two-dimensional (2D) $\alpha-Re$ parameter space, where $\alpha$ is the angle of attack and $Re$ is the Reynolds…

Fluid Dynamics · Physics 2025-04-16 Alessandro Chiarini , Gabriele Nastro

A Faraday-wave-like parametric instability is investigated via mean-field and Floquet analysis in immiscible binary Bose-Einstein condensates. The condensates form a so-called \textit{ball-shell} structure in a two-dimensional harmonic…

We have studied the existence of traveling pulses in a general Type-I excitable 1-dimensional medium. We have obtained the stability region and characterized the different bifurcations behind either the destruction or loss of stability of…

Pattern Formation and Solitons · Physics 2022-10-05 Pablo Moreno-Spiegelberg , Andreu Arinyo-i-Prats , Daniel Ruiz-Reynés , Manuel A. Matias , Damià Gomila

We investigate the effect of resonant temporal forcing on an anisotropic system that exhibits a Hopf bifurcation to obliquely traveling waves in the absence of this forcing. We find that the forcing can excite various phase-locked…

patt-sol · Physics 2009-10-22 Hermann Riecke , Mary Silber , Lorenz Kramer

In addition to a common synchronization and/or localization behavior, a system of linearly coupled identical bistable Van der Pol (BVdP) oscillators can exhibit a "non-conventional" or "modal" synchronization. In two-DOF case, one can…

Pattern Formation and Solitons · Physics 2024-10-23 Y. Wolfovich , O. V. Gendelman

We study the noisy dynamics of two coupled bistable modes of a nanomechanical beam. When de-coupled, each driven mode obeys the Duffing equation of motion, with a well-defined bistable region in the frequency domain. When both modes are…

Mesoscale and Nanoscale Physics · Physics 2025-09-01 David Allemeier , İsmet İnönü Kaya , M. Selim Hanay , Kamil L. Ekinci

The neural oscillator model proposed by Matsuoka is a piecewise affine system, which exhibits distinctive periodic solutions. Although such typical oscillation patterns have been widely studied, little is understood about the dynamics of…

Adaptation and Self-Organizing Systems · Physics 2024-11-06 Kotaro Muramatsu , Hiroshi Kori

In neuroscience, optics and condensed matter there is ample physical evidence for multistable dynamical systems, that is, systems with a large number of attractors. The known mathematical mechanisms that lead to multiple attractors are…

chao-dyn · Physics 2007-05-23 R. Vilela Mendes

Fluid flow passing a post-buckled sheet placed between two close confining walls induces periodic snap-through oscillations and contacts that can be employed for triboelectric energy harvesting. The responses of a two-dimensional sheet to a…

Fluid Dynamics · Physics 2023-12-01 Ehsan Mahravan , Mohsen Lahooti , Daegyoum Kim

We consider non-stationary localized oscillations of an infinite Bernoulli-Euler beam. The beam lies on the Winkler foundation with a point inhomogeneity (a concentrated spring with negative time-varying stiffness). In such a system with…

Classical Physics · Physics 2018-10-26 E. V. Shishkina , S. N. Gavrilov , Yu. A. Mochalova

Distributed delays modeled by 'weak generic kernels' are introduced in the well-known coupled Landau-Stuart system, as well as a chaotic van der Pol-Rayleigh system with parametric forcing. The systems are close via the 'linear chain…

Chaotic Dynamics · Physics 2020-02-14 S. Roy Choudhury , Ryan Roopnarain

Balanced spiking networks can transition between silent, asynchronous-irregular, and oscillatory states depending on interacting synaptic and temporal time scales, while their joint parameter structure remains incompletely characterized. In…

Neural and Evolutionary Computing · Computer Science 2026-04-07 Tsung-Han Kuo , Tzu-Chia Tung

Inhibitory circuits of relaxation oscillators are often-used models for the dynamics of biological networks. We present a qualitative and quantitative stability analysis of such a circuit constituted by three reciprocally coupled…

Chaotic Dynamics · Physics 2016-11-23 Justus T. C. Schwabedal , Drake E. Knapper , A. L. Shilnikov

This work investigates the spatio-temporal evolution of coherentstructures in the wake of a high-speed train. SPOD is used to extract energy spectra and empirical modes for both symmetric and antisymmetric components of the fluctuating flow…