Numerical approach and physical description for a two-capacitive neuron and its adaptive network dynamics

Chaos Solitons & Fractals, Год журнала: 2024, Номер 189, С. 115738 - 115738

Опубликована: Ноя. 14, 2024

Язык: Английский

---

Energy function and complex dynamics from a jerk system

Physica Scripta, Год журнала: 2023, Номер 99(1), С. 015245 - 015245

Опубликована: Дек. 18, 2023

Abstract Jerk, as a mathematical concept, is used in mechanics to describe the rate of change acceleration and plays crucial role design control systems for machines vehicles. Therefore, it important master various states energy released during acceleration. This why new simple jerk function introduced afterward, released, derived from Hamilton using Helmholtz theorem. The condition having stable or unstable established Hopf bifurcation theory. Some two-parameter stability charts are then computed suitable selection region study. Using some nonlinear analysis metrics, study, occurrence phenomena found, such reverse period doubling bifurcation, antimonotonicity, hysteresis involving coexistence considered system. An electronic circuit built implement expression equation validate result theoretical investigation.

Язык: Английский

---

Coherence resonance, parameter estimation and self-regulation in a thermal sensitive neuron

Research Square (Research Square), Год журнала: 2024, Номер unknown

Опубликована: Ноя. 5, 2024

In this work, two capacitors connected by a thermistor are used to explore the electrical property of double-layer membrane in neuron, which is sensitive changes temperature and capacitive variables measure potentials for inner outer membrane. The circuit characteristic energy definition neural its equivalent neuron model oscillator form clarified from physical aspect. Considering shape deformation cell under external stimuli injection, intrinsic parameters can be controlled with adaptive growth flow, an control law proposed regulate firing modes accompanying shift. presence noisy excitation, coherence resonance induced confirmed taming noise intensity carefully. distributions CV (coefficient variability) average value < H > vs. provide feasible way predict even stochastic activities. Adaptive parameter observers designed identify unknown model. Our results helpful design thermal-sensitive artificial injecting thermosensitive medium between capacitor plates.

Язык: Английский

---

Multistability and its control in a Van Der Pol oscillator coupled with Duffing oscillator through the velocity

Modern Physics Letters B, Год журнала: 2024, Номер unknown

Опубликована: Дек. 4, 2024

Self-sustained electromechanical transducers are generally built using coupled oscillators made of Van Der Pol and Duffing. In this paper, the complex dynamics a oscillator with Duffing (VDPCD) through velocity is investigated. By exploiting nonlinear analysis techniques, several phenomena uncovered in such types systems found. Among others, we have broken symmetry inducing multistability oscillators, phenomenon coexisting bubble bifurcations. employing Helmholtz’s theorem, Hamilton energy function for model was derived. Furthermore, famous theory linear augmentation method, based on unstable equilibria uncontrolled model, exploited to control toward regulator or chaotic regime. A PSpice circuit used perform experiment, from which results exhibited by were further supported. At last, microcontroller board-based experimental constructed, findings corroborated study.

Язык: Английский

---

Model approach of piezoelectric membrane for a two-capacitive neuron, and dynamics

Nonlinear Dynamics, Год журнала: 2024, Номер unknown

Опубликована: Дек. 18, 2024

Язык: Английский

---