Results 1 to 10 of about 18,615 (139)
Multistability, Chaos, and Control in the Deterministic and Stochastic Dynamics of Noise-Driven Nonlinear Oscillators [PDF]
EntropyThis paper presents a detailed investigation of the deterministic and stochastic dynamics of a noise-driven forced nonlinear oscillator in a periodically driven framework.
Adil Jhangeer, Atef Abdelkader
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Time after time - circadian clocks through the lens of oscillator theory. [PDF]
FEBS LettOscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Del Olmo M, Ector C, Herzel H.
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Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 We propose a robust algorithm for constructing first return maps of dynamical systems from time series without the need for embedding. A first return map is typically constructed using a convenient heuristic (maxima or zero-crossings of the time series, for example) or a computationally nuanced geometric approach (explicitly constructing a Poincaré ...
Zahra Shahriari +3 more
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Poincaré Return Maps in Neural Dynamics: Three Examples [PDF]
, 2020 Understanding of the onset and generic mechanisms of transitions between distinct patterns of activity in realistic models of individual neurons and neural networks presents a fundamental challenge for the theory of applied dynamical systems. We use three examples of slow-fast neural systems to demonstrate a suite of new computational tools to study ...
Kolomiets, Marina L. +1 more
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Journal of Low Frequency Noise, Vibration and Active Control, 2021 Aviation axial piston pump is an important energy conversion component in aircraft hydraulic system, and the study on the nonlinearity of key operating mechanism is very necessary for improving the reliable operation of the pump.
Jie Hang +3 more
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Modelling solar cycle length based on Poincaré maps for Lorenz-type equations [PDF]
Annales Geophysicae, 2010 Two systems of Lorenz-type equations modelling solar magnetic activity are studied: Firstly a low order dynamic system in which the toroidal and poloidal fields are represented by x- and y-coordinates respectively, and the hydrodynamical information ...
H. Lundstedt, T. Persson
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On the cyclicity of Kolmogorov polycycles
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper we study planar polynomial Kolmogorov's differential systems \[ X_\mu\quad\begin{cases}{\dot{x}=f(x,y;\mu),}\\{\dot{y}=g(x,y;\mu),} \end{cases} \] with the parameter $\mu$ varying in an open subset $\Lambda\subset\mathbb{R}^N ...
David Marín, Jordi Villadelprat
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Configuration of Ten Limit Cycles in a Class of Cubic Switching Systems
Mathematics, 2022 The bifurcation of limit cycles is an important part in the study of switching systems. The investigation of limit cycles includes the number and configuration, which are related to Hilbert’s 16th problem.
Xiangyu Wang, Wei Niu
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IEEE Access, 2019 Scholars have done extensive research on dynamic analysis and analog circuits implementation of the classical fractional order chaotic system-Liu System (FOLS).
Enzeng Dong +4 more
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Poincaré Plots in Analysis of Selected Biomedical Signals
Studies in Logic, Grammar and Rhetoric, 2013 Poincaré plot is a return map which can help perform graphical analysis of data. We can also fit an ellipse to the plot shape by determining descriptors SD1, SD2 and SD1/SD2 ratio to study the data quantitatively.
Golińska Agnieszka Kitlas
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